Deutsch

Ouro-Koura, El Assad (2023)
Zur mathematischen Modellierung des kapillaren Anstiegs - Dissipative Mechanismen und nicht-lineare Oszillationen.
Technische Universität Darmstadt
doi: 10.26083/tuprints-00024476
Bachelorarbeit, Erstveröffentlichung, Verlagsversion

Samkhaniani, N. ; Stroh, A. ; Holzinger, M. ; Marschall, H. ; Frohnapfel, B. ; Wörner, M. (2021)
Bouncing drop impingement on heated hydrophobic surfaces.
In: International Journal of Heat and Mass Transfer, 180
doi: 10.1016/j.ijheatmasstransfer.2021.121777
Artikel, Bibliographie

Hill, Simon ; Acher, Thomas ; Hoffmann, Rainer ; Ferstl, Johann ; Deising, Daniel ; Marschall, Holger ; Rehfeldt, Sebastian ; Klein, Harald (2019)
Quantifizierung der Trenneffizienz einer strukturierten Packung mittels numerischer Simulation.
In: Chemie Ingenieur Technik
doi: 10.1002/cite.201900041
Artikel, Bibliographie

Fricke, Mathis ; Köhne, Matthias ; Bothe, Dieter (2019)
A kinematic evolution equation for the dynamic contact angle and some consequences.
In: Physica D: Nonlinear Phenomena
doi: 10.1016/j.physd.2019.01.008
Artikel, Bibliographie

Niethammer, Matthias ; Marschall, Holger ; Bothe, Dieter (2019)
Robust Direct Numerical Simulation of Viscoelastic Flows.
In: Chemie Ingenieur Technik, 91 (4)
doi: 10.1002/cite.201800108
Artikel, Bibliographie

Niethammer, Matthias ; Brenn, Günter ; Marschall, Holger ; Bothe, Dieter (2019)
An extended volume of fluid method and its application to single bubbles rising in a viscoelastic liquid.
In: Journal of Computational Physics, 387
doi: 10.1016/j.jcp.2019.02.021
Artikel, Bibliographie

Souček, Ondřej ; Orava, Vít ; Málek, Josef ; Bothe, Dieter (2019)
A continuum model of heterogeneous catalysis: Thermodynamic framework for multicomponent bulk and surface phenomena coupled by sorption.
In: International Journal of Engineering Science, 138
doi: 10.1016/j.ijengsci.2019.01.001
Artikel, Bibliographie

Hill, S. ; Deising, D. ; Acher, T. ; Klein, H. ; Bothe, D. ; Marschall, H. (2018)
Boundedness-preserving implicit correction of mesh-induced errors for VOF based heat and mass transfer.
In: Journal of Computational Physics, 352
doi: 10.1016/j.jcp.2017.09.027
Artikel, Bibliographie

Falcone, M. ; Bothe, D. ; Marschall, H. (2018)
3D direct numerical simulations of reactive mass transfer from deformable single bubbles: An analysis of mass transfer coefficients and reaction selectivities.
In: Chemical Engineering Science, 177
doi: 10.1016/j.ces.2017.11.024
Artikel, Bibliographie

Kunimoto, Masahiro ; Bothe, Dieter ; Tamura, Risa ; Oyanagi, Takahiro ; Fukunaka, Yasuhiro ; Nakai, Hiromi ; Homma, Takayuki (2018)
Spectroscopic and Computational Analyses of Liquid–Liquid Interfacial Reaction Mechanism of Boric Acid Esterification with 2,2,4-Trimethyl-1,3-pentanediol in Boron Extraction Processes.
In: The Journal of Physical Chemistry C, 122 (19)
doi: 10.1021/acs.jpcc.8b01086
Artikel, Bibliographie

Pesci, Chiara ; Weiner, Andre ; Marschall, Holger ; Bothe, Dieter (2018)
Computational analysis of single rising bubbles influenced by soluble surfactant.
In: Journal of Fluid Mechanics, 856
doi: 10.1017/jfm.2018.723
Artikel, Bibliographie

Fricke, Mathis ; Köhne, Matthias ; Bothe, Dieter (2018)
On the Kinematics of Contact Line Motion.
In: PAMM, 18 (1)
doi: 10.1002/pamm.201800451
Artikel, Bibliographie

Bothe, D. ; Koehne, M. ; Maier, S. ; Saal, J. (2017)
Global strong solutions for a class of heterogeneous catalysis models.
In: Journal of Mathematical Analysis and Applications, 445 (1)
Artikel, Bibliographie

Weber, P. S. ; Marschall, H. ; Bothe, D. (2017)
Highly accurate two-phase species transfer based on ALE Interface Tracking.
In: International Journal of Heat and Mass Transfer, 104
Artikel, Bibliographie

Bothe, Dieter ; Denk, Robert ; Hieber, Matthias ; Schnaubelt, Roland ; Simonett, Gieri ; Wilke, Mathias ; Zacher, Rico (2017)
Special Issue: Parabolic Evolution Equations, Maximal Regularity, and Applications - Dedicated to Jan Pruss Preface.
In: Journal of Evolution Equations, 17 (1)
Artikel, Bibliographie

Bothe, D. ; Fischer, A. ; Pierre, M. ; Rolland, G. (2017)
Global wellposedness for a class of reaction-advection-anisotropic-diffusion systems.
In: Journal of Evolution Equations, 17 (1)
Artikel, Bibliographie

Bothe, D. ; Kashiwabara, T. ; Koehne, M. (2017)
Strong well-posedness for a class of dynamic outflow boundary conditions for incompressible Newtonian flows.
In: Journal of Evolution Equations, 17 (1)
Artikel, Bibliographie

Planchette, C. ; Hinterbichler, H. ; Liu, M. ; Bothe, D. ; Brenn, G. (2017)
Colliding drops as coalescing and fragmenting liquid springs.
In: Journal of Fluid Mechanics, 814
Artikel, Bibliographie

Niethammer, M. ; Marschall, H. ; Kunkelmann, C. ; Bothe, D. (2017)
A numerical stabilization framework for viscoelastic fluid flow using the finite volume method on general unstructured meshes.
In: International Journal for Numerical Methods in Fluids, 86 (2)
doi: 10.1002/fld.4411
Artikel, Bibliographie

Liu, M. ; Bothe, D. (2016)
Numerical study of head-on droplet collisions at high Weber numbers.
In: Journal of Fluid Mechanics, 789
Artikel, Bibliographie

Falconi, C. J. ; Lehrenfeld, C. ; Marschall, H. ; Meyer, C. ; Abiev, R. ; Bothe, D. ; Reusken, A. ; Schlueter, M. ; Woerner, M. (2016)
Numerical and experimental analysis of local flow phenomena in laminar Taylor flow in a square mini-channel.
In: Physics of Fluids, 28 (1)
Artikel, Bibliographie

Weber, Paul S. ; Bothe, Dieter (2016)
Applicability of the Linearized Theory of the Maxwell-Stefan Equations.
In: Aiche Journal, 62 (8)
Artikel, Bibliographie

Dieter-Kissling, Kathrin ; Marschall, Holger ; Bothe, Dieter (2015)
Direct Numerical Simulation of droplet formation processes under the influence of soluble surfactant mixtures.
In: Computers & Fluids, 113
Artikel, Bibliographie

Dieter-Kissling, Kathrin ; Marschall, Holger ; Bothe, Dieter (2015)
Numerical method for coupled interfacial surfactant transport on dynamic surface meshes of general topology.
In: Computers & Fluids, 109
Artikel, Bibliographie

Bothe, Dieter ; Rolland, Guillaume (2015)
Global Existence for a Class of Reaction-Diffusion Systems with Mass Action Kinetics and Concentration-Dependent Diffusivities.
In: Acta Applicandae Mathematicae, 139 (1)
doi: 10.1007/s10440-014-9968-y
Artikel, Bibliographie

Weirich, Dominik ; Köhne, M. ; Bothe, D. (2014)
Efficient computation of flow around single fluid particles using an artificial boundary condition.
In: Int. J. for Numerical Methods in Fluids, 75 (3)
doi: 10.1002/fld.3890
Artikel, Bibliographie

Focke, Christian (2013)
Direkte Numerische Simulation binärer Kollisionen newtonscher und nichtnewtonscher Tropfen.
Technische Universität Darmstadt
Dissertation, Erstveröffentlichung

Focke, Christian ; Bothe, D. (2012)
Direkte Numerische Simulation binärer Kollisionen scherverdünnender Tropfen.
In: Chemie Ingenieur Technik, 84 (1/2)
doi: 10.1002/cite.201100145
Artikel, Bibliographie

Albert, Christoph ; Raach, Henning ; Bothe, Dieter (2012)
Influence of surface tension models on the hydrodynamics of wavy laminar falling films in Volume of Fluid-simulations.
In: International Journal of Multiphase Flow, 43
Artikel, Bibliographie

Kück, U. D. ; Kröger, M. ; Schlüter, M. ; Räbiger, N. ; Bothe, D. ; Warnecke, H.-J. (2011)
Skalenübergreifende Transportprozesse bei Gas –Flüssig Reaktionen.
In: Chemie und Ingenieurtechnik, 83 (7)
doi: 10.1002/cite.201100036
Artikel, Bibliographie

Denk, R. ; Saal, J. ; Seiler, J. (2008)
Inhomogeneous symbols, the Newton polygon, and maximal Lp-regularity.
In: Russian J. Math. Phys., 15 (2)
Artikel, Bibliographie

Bothe, D. ; Warnecke, H.-J. (2007)
Berechnung und Beurteilung strömungsbasierter komplex-laminarer Mischprozesse.
In: Chem. Ing. Tech., 79
doi: 10.1002/cite.200700068
Artikel, Bibliographie

Saal, J. (2006)
Maximal regularity for the Stokes equations in non-cylindrical space-time domains.
In: J. Math. Soc. Japan, 58 (3)
Artikel, Bibliographie

Bothe, D. ; Stemich, C. ; Warnecke, H.-J. (2004)
Theoretische und experimentelle Untersuchungen der Mischvorgänge in T-förmigen Mikroreaktoren – Teil I: Numerische Simulation und Beurteilung des Strömungsmischens.
In: Chem. Ing. Tech., 76
doi: 10.1002/cite.200400085
Artikel, Bibliographie

Bothe, D. ; Warnecke, H.-J. (2004)
Phänomenologisch-mechanistisches Modell der Kristallisation und Membranverblockung in der Umkehrosmose.
In: Chem. Ing. Tech., 76
doi: 10.1002/cite.200403431
Artikel, Bibliographie

Reipschläger, O. ; Bothe, D. ; Broecker, H.-C. ; Monien, B. ; Prüss, J. ; Warnecke, H.-J. ; Weigand, B. ; Wielage, K.
Hrsg.: Panreck, K. ; Dörrscheidt, F. (2001)
Modellierung und Simulation zur Optimierung des Zerstäubungsprozesses in einem Ultraschall-Stehwellenfeld.
Konferenzveröffentlichung, Bibliographie

Bothe, Dieter (1997)
Reaction-diffusion systems with discontinuities. A viability approach.
In: Nonlinear Analysis: Theory, Methods & Applications, 30 (2)
doi: 10.1016/S0362-546X(97)00247-2
Artikel, Bibliographie

Englisch

Liu, Jun (2024)
Unstructured finite volume methods for two-phase flows with high density ratios.
Technische Universität Darmstadt
doi: 10.26083/tuprints-00028266
Dissertation, Erstveröffentlichung, Verlagsversion

Marschall, Holger (2024)
Finite Volume Discretisation of Transport Processes at Fluid Interfaces.
Technische Universität Darmstadt
Habilitation, Bibliographie

Kromer, Johannes ; Bothe, Dieter (2023)
Third-order accurate initialization of VOF volume fractions on unstructured meshes with arbitrary polyhedral cells.
In: Journal of Computational Physics, 475
doi: 10.1016/j.jcp.2022.111840
Artikel, Bibliographie

Bodziony, Francisco ; Wörner, Martin ; Marschall, Holger (2023)
The stressful way of droplets along single-fiber strands: A computational analysis.
In: Physics of Fluids, 35 (1)
doi: 10.1063/5.0131032
Artikel, Bibliographie

Habes, Constantin (2023)
Towards a unified multiphysics framework applied to reactive bubbly flows.
Technische Universität Darmstadt
doi: 10.26083/tuprints-00023030
Masterarbeit, Erstveröffentlichung, Verlagsversion

Tolle, Tobias (2023)
An unstructured Finite-Volume Level Set / Front Tracking method for capillary flows.
Technische Universität Darmstadt
doi: 10.26083/tuprints-00023366
Dissertation, Erstveröffentlichung, Verlagsversion

Bothe, Dieter ; Druet, Pierre-Étienne (2023)
On the structure of continuum thermodynamical diffusion fluxes— A novel closure scheme and its relation to the Maxwell–Stefan and the Fick–Onsager approach.
In: International Journal of Engineering Science, 184
doi: 10.1016/j.ijengsci.2023.103818
Artikel, Bibliographie

Bothe, Dieter ; Dreyer, Wolfgang ; Druet, Pierre‐Etienne (2023)
Multicomponent incompressible fluids — An asymptotic study.
In: ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 103 (7)
doi: 10.1002/zamm.202100174
Artikel, Bibliographie

Marschall, Holger (2022)
Preface to the computational fluid dynamics for chemical and process engineering special issue section.
In: The Canadian Journal of Chemical Engineering, 100 (12)
doi: 10.1002/cjce.24618
Artikel, Bibliographie

Bothe, Dieter (2022)
Sharp-interface continuum thermodynamics of multicomponent fluid systems with interfacial mass.
In: International Journal of Engineering Science, 179
doi: 10.1016/j.ijengsci.2022.103731
Artikel, Bibliographie

Bagheri, Milad ; Stumpf, Bastian ; Roisman, Ilia V. ; Dadvand, Abdolrahman ; Wörner, Martin ; Marschall, Holger (2022)
A unified finite volume framework for phase-field simulations of an arbitrary number of fluid phases.
In: The Canadian Journal of Chemical Engineering, 100 (9)
doi: 10.1002/cjce.24510
Artikel, Bibliographie

Bagheri, Milad ; Stumpf, Bastian ; Roisman, Ilia V. ; Tropea, Cameron ; Hussong, Jeanette ; Wörner, Martin ; Marschall, Holger (2022)
Interfacial relaxation - Crucial for phase-field methods to capture low to high energy drop-film impacts.
In: International Journal of Heat and Fluid Flow, 94
doi: 10.1016/j.ijheatfluidflow.2022.108943
Artikel, Bibliographie

Wang, Shuo ; Rohlfs, Patrick ; Börnhorst, Marion ; Schillaci, Andrea ; Marschall, Holger ; Deutschmann, Olaf ; Wörner, Martin (2022)
Bubble Cutting by Cylinder - Elimination of Wettability Effects by a Separating Liquid Film.
In: Chemie Ingenieur Technik, 94 (3)
doi: 10.1002/cite.202100145
Artikel, Bibliographie

Raju, Suraj ; Gründing, Dirk ; Marić, Tomislav ; Bothe, Dieter ; Fricke, Mathis (2022)
Computing hydrodynamic eigenmodes of channel flow with slip — A highly accurate algorithm.
In: The Canadian Journal of Chemical Engineering, 100 (12)
doi: 10.1002/cjce.24598
Artikel, Bibliographie

Samkhaniani, Nima ; Marschall, Holger ; Stroh, Alexander ; Frohnapfel, Bettina ; Wörner, Martin (2021)
Numerical simulation of drop impingement and bouncing on a heated hydrophobic surface.
In: Journal of Physics: Conference Series, 2116
doi: 10.1088/1742-6596/2116/1/012073
Artikel, Bibliographie

Wörner, Martin ; Samkhaniani, Nima ; Cai, Xuan ; Wu, Yanchen ; Majumdar, Arijit ; Marschall, Holger ; Frohnapfel, Bettina ; Deutschmann, Olaf (2021)
Spreading and rebound dynamics of sub-millimetre urea-water-solution droplets impinging on substrates of varying wettability.
In: Applied Mathematical Modelling, 95
doi: 10.1016/J.APM.2021.01.038
Artikel, Bibliographie

Dadvand, Abdolrahman ; Bagheri, Milad ; Samkhaniani, Nima ; Marschall, Holger ; Wörner, Martin (2021)
Advected phase-field method for bounded solution of the Cahn–Hilliard Navier-Stokes equations.
In: Physics of Fluids, 33 (5)
doi: 10.1063/5.0048614
Artikel, Bibliographie

Augner, Björn ; Bothe, Dieter (2021)
Analysis of some heterogeneous catalysis models with fast sorption and fast surface chemistry.
In: Journal of Evolution Equations, 21 (3)
doi: 10.1007/s00028-021-00692-4
Artikel, Bibliographie

Fickel, Beatrice ; Postulka, Niels ; Hartmann, Maximilian ; Gründing, Dirk M. ; Nau, Maximilian ; Meckel, Tobias ; Biesalski, Markus (2021)
Changes of meniscus shapes and capillary rise heights under hypergravity.
In: Colloids and Surfaces A: Physicochemical and Engineering Aspects, 610
doi: 10.1016/j.colsurfa.2020.125688
Artikel, Bibliographie

Augner, Björn ; Bothe, Dieter (2021)
The fast-sorption and fast-surface-reaction limit of a heterogeneous catalysis model.
In: Discrete and Continuous Dynamical Systems - Series S (DCDS-S), 14 (2)
doi: 10.3934/dcdss.2020406
Artikel, Bibliographie

Meburger, Stefanie ; Niethammer, Matthias ; Bothe, Dieter ; Schäfer, Michael (2021)
Numerical simulation of non-isothermal viscoelastic flows at high Weissenberg numbers using a finite volume method on general unstructured meshes.
In: Journal of Non-Newtonian Fluid Mechanics, 287
doi: 10.1016/j.jnnfm.2020.104451
Artikel, Bibliographie

Fricke, Mathis (2021)
Mathematical modeling and Volume-of-Fluid based simulation of dynamic wetting.
Technische Universität Darmstadt
doi: 10.12921/tuprints-00014274
Dissertation, Erstveröffentlichung, Verlagsversion

Bothe, Dieter ; Druet, Pierre-Etienne (2021)
Well-posedness analysis of multicomponent incompressible flow models.
In: Journal of Evolution Equations, 21 (4)
doi: 10.1007/s00028-021-00712-3
Artikel, Bibliographie

Weiner, Andre ; Gründing, Dirk ; Bothe, Dieter (2020)
Computing Mass Transfer at Deformable Bubbles for High Schmidt Numbers.
In: Chemie Ingenieur Technik
doi: 10.1002/cite.202000214
Artikel, Bibliographie

Augner, Björn (2020)
Uniform Exponential Stabilisation of Serially Connected Inhomogeneous Euler-Bernoulli Beams.
In: ESAIM: Control, Optimisation and Calculus of Variations, 26
doi: 10.1051/cocv/2020036
Artikel, Bibliographie

Marić, Tomislav ; Kothe, Douglas B. ; Bothe, Dieter (2020)
Unstructured un-split geometrical Volume-of-Fluid methods – A review.
In: Journal of Computational Physics, 420
doi: 10.1016/j.jcp.2020.109695
Artikel, Bibliographie

Augner, Björn ; Laasri, Hafida (2020)
Exponential stability for infinite-dimensional non-autonomous port-Hamiltonian Systems.
In: Systems and Control Letters, 144
doi: 10.1016/j.sysconle.2020.104757
Artikel, Bibliographie

Gründing, Dirk ; Smuda, Martin ; Antritter, Thomas ; Fricke, Mathis ; Rettenmaier, Daniel ; Kummer, Florian ; Stephan, Peter ; Marschall, Holger ; Bothe, Dieter (2020)
A comparative study of transient capillary rise using direct numerical simulations.
In: Applied Mathematical Modelling, 86
doi: 10.1016/j.apm.2020.04.020
Artikel, Bibliographie

Fricke, Mathis ; Bothe, Dieter (2020)
Boundary conditions for dynamic wetting - A mathematical analysis.
In: The European Physical Journal Special Topics, 229 (10)
doi: 10.1140/epjst/e2020-900249-7
Artikel, Bibliographie

Bothe, Dieter (2020)
Reflections on the article “Moving contact lines and dynamic contact angles: a ‘litmus test’ for mathematical models and some new challenges” by Yulii D. Shikhmurzaev.
In: The European Physical Journal Special Topics, 229 (10)
doi: 10.1140/epjst/e2020-000149-6
Artikel, Bibliographie

Bothe, Dieter (2020)
On moving hypersurfaces and the discontinuous ODE-system associated with two-phase flows.
In: Nonlinearity, 33 (10)
doi: 10.1088/1361-6544/ab987d
Artikel, Bibliographie

Beale, Steven B. ; Andersson, Martin ; Weber, Norbert ; Marschall, Holger ; Lehnert, Werner (2020)
Combined Two-phase Co-flow and Counter-flow in a Gas Channel/Porous Transport Layer Assembly.
In: ECS Transactions, 98 (9)
doi: 10.1149/09809.0305ecst
Artikel, Bibliographie

Augner, Björn (2020)
Well-posedness and stability for interconnection structures of port-Hamiltonian type.
In: Control Theory of Infinite-Dimensional Systems, Auflage: 1. Auflage
doi: 10.1007/978-3-030-35898-3
Buchkapitel, Bibliographie

Fricke, Mathis ; Marić, Tomislav ; Bothe, Dieter (2020)
Contact line advection using the geometrical Volume-of-Fluid method.
In: Journal of Computational Physics, 407
doi: 10.1016/j.jcp.2019.109221
Artikel, Bibliographie

Tolle, T. ; Bothe, D. ; Marić, T. (2020)
SAAMPLE: A Segregated Accuracy-driven Algorithm for Multiphase Pressure-Linked Equations.
In: Computers & Fluids, 200
doi: 10.1016/j.compfluid.2020.104450
Artikel, Bibliographie

Hori, Yohei ; Bothe, Dieter ; Hayashi, Kosuke ; Hosokawa, Shigeo ; Tomiyama, Akio (2020)
Mass transfer from single carbon-dioxide bubbles in surfactant-electrolyte mixed aqueous solutions in vertical pipes.
In: International Journal of Multiphase Flow, 124
doi: 10.1016/j.ijmultiphaseflow.2020.103207
Artikel, Bibliographie

Fricke, Mathis ; Maric, T. ; Bothe, D. (2019)
Contact line advection using the Level Set method.
In: Proceedings in Applied Mathematics and Mechanics, 19 (1)
doi: 10.1002/pamm.201900476
Artikel, Bibliographie

Gründing, Dirk ; Fricke, Mathis ; Bothe, Dieter (2019)
Capillary Rise ‐ Jurin's Height vs Spherical Cap.
In: PAMM, 19 (1)
doi: 10.1002/pamm.201900336
Artikel, Bibliographie

Kromer, Johannes Richard ; Bothe, Dieter (2019)
Highly accurate computation of volume fractions using differential geometry.
In: Journal of Computational Physics, 396
doi: 10.1016/j.jcp.2019.07.005
Artikel, Bibliographie

Fricke, Mathis ; Maric, Tomislav ; Bothe, Dieter (2019)
Contact Line Advection using the Level Set Method : Data and C++ Implementations.
doi: 10.25534/tudatalib-58
Forschungsdaten, Bibliographie

Niethammer, Matthias Samuel (2019)
A finite volume framework for viscoelastic flows at high Weissenberg Number.
Technische Universität Darmstadt
Dissertation, Bibliographie

Rettenmaier, Daniel ; Deising, Daniel ; Ouedraogo, Yun ; Gjonaj, Erion ; De Gersem, Herbert ; Bothe, Dieter ; Tropea, Cameron ; Marschall, Holger (2019)
Load balanced 2D and 3D adaptive mesh refinement in OpenFOAM.
In: SoftwareX, 10
doi: 10.1016/j.softx.2019.100317
Artikel, Bibliographie

Stark, Tobias ; Kiedrowski, Thomas ; Marschall, Holger ; Lasagni, Andrés Fabián (2019)
Avoiding Starvation in Tribocontact Through Active Lubricant Transport in Laser Textured Surfaces.
In: Lubricants, 7 (6)
doi: 10.3390/lubricants7060054
Artikel, Bibliographie

Weiner, Andre ; Hillenbrand, Dennis ; Marschall, Holger ; Bothe, Dieter (2019)
Data‐Driven Subgrid‐Scale Modeling for Convection‐Dominated Concentration Boundary Layers.
In: Chemical Engineering & Technology, 42 (7)
doi: 10.1002/ceat.201900044
Artikel, Bibliographie

Jamshidi, F. ; Heimel, H. ; Hasert, M. ; Cai, X. ; Deutschmann, O. ; Marschall, H. ; Wörner, M. (2019)
On suitability of phase-field and algebraic volume-of-fluid OpenFOAM® solvers for gas–liquid microfluidic applications.
In: Computer Physics Communications, 236
doi: 10.1016/j.cpc.2018.10.015
Artikel, Bibliographie

Deising, Daniel (2019)
Modelling and Numerical Simulation of Species Transfer in Bubbly Flows using OpenFOAM.
Technische Universität Darmstadt
Dissertation, Erstveröffentlichung

Liu, M. ; Bothe, D. (2019)
Toward the predictive simulation of bouncing versus coalescence in binary droplet collisions.
In: Acta Mechanica, 230 (2)
doi: 10.1007/s00707-018-2290-4
Artikel, Bibliographie

Augner, Björn (2019)
Well-Posedness and Stability of Infinite-Dimensional Linear Port-Hamiltonian Systems with Nonlinear Boundary Feedback.
In: SIAM Journal on Control and Optimization, 57 (3)
doi: 10.1137/15M1024901
Artikel, Bibliographie

Meburger, Stefanie ; Niethammer, Matthias ; Bothe, Dieter ; Schäfer, Michael
Hrsg.: Ingelsten, Simon ; Kádár, Roland (2019)
Validation of viscoelastic, non-isothermal fluid flow simulations.
Nordic Rheology Conference.
Konferenzveröffentlichung, Bibliographie

Steinhausen, Matthias (2018)
Numerical simulation of single rising bubbles influenced by soluble surfactant in the spherical and ellipsoidal regime.
Technische Universität Darmstadt
Masterarbeit, Erstveröffentlichung

Deising, D. ; Bothe, D. ; Marschall, H. (2018)
Direct Numerical Simulation of Mass Transfer in Bubbly Flows.
In: Computers & Fluids, 172
doi: 10.1016/j.compfluid.2018.03.041
Artikel, Bibliographie

Kromer, Johannes Richard ; Bothe, Dieter (2018)
Highly accurate numerical computation of implicitly defined volumes using the Laplace-Beltrami operator.
In: arXiv preprint arXiv:1805.03136
Artikel, Bibliographie

Kleikemper, J.-A. (2018)
A comparative study of different mesh types for transport processes near gas bubbles regarding accuracy, stability, and run time.
Technische Universität
Bachelorarbeit, Erstveröffentlichung

Marić, T. ; Marschall, H. ; Bothe, D. (2018)
An enhanced un-split face-vertex flux-based VoF method.
In: Journal of Computational Physics, 371
doi: 10.1016/j.jcp.2018.03.048
Artikel, Bibliographie

Gründing, Dirk ; Bothe, Dieter ; Marschall, Holger (2018)
Wetting phenomena with ALE interface tracking.
In: PAMM, 18 (1)
doi: 10.1002/pamm.201800430
Artikel, Bibliographie

Maric, T. (2017)
Lagrangian/Eulerian numerical methods for fluid interface advection on unstructured meshes.
Technische Universität Darmstadt
Dissertation, Erstveröffentlichung

Fricke, Mathis ; Bothe, Dieter (2017)
Modeling and VOF based simulation of dynamic contact lines.
ICNMMF-III International Conference on Numerical Methods in Multiphase Flows. Tokyo (26.07.2017-29.07.2017)
Konferenzveröffentlichung, Bibliographie

Gründing, D. ; Marschall, Holger ; Bothe, D. (2017)
Wetting processes with ALE interface tracking.
12th OpenFOAM Workshop. Exeter (24.07.2017-27.07.2017)
Konferenzveröffentlichung, Bibliographie

Karpowski, T. J. P. (2017)
Numerical simulation of reactive species transfer at a spherical gas bubble.
Technische Universität
Bachelorarbeit, Erstveröffentlichung

Weiner, A. ; Bothe, D. (2017)
Advanced subgrid-scale modeling for convection-dominated species transport at fluid interfaces with applicaton to rising bubbles.
In: Journal of Computational Physics, 347
doi: 10.1016/j.jcp.2017.06.040
Artikel, Bibliographie

Prüss, Jan ; Bothe, Dieter (2017)
Modeling and analysis of reactive multi-component two-phase flows with mass transfer and phase transition -- The isothermal incompressible case.
In: Discrete and Continuous Dynamical Systems - Series S, 10 (4)
doi: 10.3934/dcdss.2017034
Artikel, Bibliographie

Lippert, Anja Charlotte (2016)
Direct Numerical Simulations of Thermocapillary Driven Motions in Two-phase Flows.
Technische Universität Darmstadt
Dissertation, Erstveröffentlichung

Gründing, Dirk ; Fleckenstein, Stefan ; Bothe, Dieter (2016)
A subgrid-scale model for reactive concentration boundary layers for 3D mass transfer simulations with deformable fluid interfaces.
In: International Journal of Heat and Mass Transfer, 101
doi: 10.1016/j.ijheatmasstransfer.2016.04.119
Artikel, Bibliographie

Deising, Daniel ; Marschall, Holger ; Bothe, Dieter (2016)
A unified single-field model framework for Volume-Of-Fluid simulations of interfacial species transfer applied to bubbly flows.
In: Chemical Engineering Science, 139
Artikel, Bibliographie

Chen, X. ; Focke, C. ; Marschall, H. ; Bothe, D.
Hrsg.: Fritsching, Udo (2016)
Investigation of Elementary Processes of Non-Newtonian Droplets Inside Spray Processes by Means of Direct Numerical Simulation.
In: Process-Spray
Buchkapitel, Bibliographie

Bothe, D. (2016)
Mass transfer across fluid interfaces - modeling the influence of adsorbed surfactant.
In: Proc. RIMS Symposium on “Mathematical Analysis of Viscous Incompressible Fluids”
Artikel, Bibliographie

Bothe, D. ; Prüss, J.
Hrsg.: Aman, H. ; Giga, Y. ; Kozono, H. ; Okamoto, H. ; Yamazaki, M. (2016)
On the interface formation model for dynamic triple lines.
In: Recent Developments of Mathematical Fluid Mechanics
Buchkapitel, Bibliographie

Fath, Anja ; Bothe, Dieter (2015)
Direct numerical simulations of thermocapillary migration of a droplet attached to a solid wall.
In: International Journal of Multiphase Flow, 77
Artikel, Bibliographie

Fath, Anja ; Bothe, Dieter (2015)
Direct numerical simulations of thermocapillary migration of a droplet attached to a solid wall.
In: International Journal of Multiphase Flow, 77
Artikel, Bibliographie

Albert, C. ; Kromer, Johannes ; Robertson, A. M. ; Bothe, D. (2015)
Dynamic behaviour of buoyant high viscosity droplets rising in a quiescent liquid.
In: Journal of Fluid Mechanics, 778
Artikel, Bibliographie

Maric, Tomislav ; Marschall, H. ; Bothe, D. (2015)
lentFoam - A hybrid Level Set / Front Tracking method on unstructured meshes.
In: Computers and Fluids, (113)
doi: 10.1016/j.compfluid.2014.12.019
Artikel, Bibliographie

Chen, Xingyuan ; Schäfer, Michael ; Bothe, Dieter (2015)
Numerical modeling and investigation of viscoelastic fluid-structure interaction applying an implicit partitioned coupling algorithm.
In: Journal of Fluids and Structures, 54
Artikel, Bibliographie

Fath, Anja ; Horn, Tobias ; Gambaryan-Roisman, Tatiana ; Stephan, Peter ; Bothe, Dieter (2015)
Numerical and experimental analysis of short-scale Marangoni convection on heated structured surfaces.
In: International Journal of Heat and Mass Transfer, 86
Artikel, Bibliographie

Bothe, D. ; Dreyer, W. (2015)
Continuum thermodynamics of chemically reacting fluid mixtures.
In: Acta Mechanica, 226 (6)
Artikel, Bibliographie

Fleckenstein, Stefan ; Bothe, Dieter (2015)
A Volume-of-Fluid-based numerical method for multi-component mass transfer with local volume changes.
In: Journal of Computational Physics, 301
Artikel, Bibliographie

Bothe, D. (2014)
Mass Transfer in Pure and Contaminated Fluid Systems - Continuum Thermodynamics and Detailed Numerical Simulation.
7th International Berlin Workshop (IBW 7) on Transport Phenomena with Moving Boundaries and More. Berlin (30.10.2014-30.10.2014)
Konferenzveröffentlichung, Bibliographie

Chen, Xingyuan (2014)
Numerical Modeling of Fluid-Structure Interaction with Rheologically Complex Fluids.
Technische Universität Darmstadt
Dissertation, Erstveröffentlichung

Marschall, Holger ; Boden, Stephan ; Lehrenfeld, Christoph ; Falconi, Carlos J. D. ; Hampel, Uwe ; Reusken, Arnold ; Woerner, Martin ; Bothe, Dieter (2014)
Validation of interface capturing and tracking techniques with different surface tension treatments against a Taylor bubble benchmark problem.
In: Computers & Fluids, 102
Artikel, Bibliographie

Albert, Christoph ; Marschall, Holger ; Bothe, Dieter (2014)
Direct Numerical Simulation of interfacial mass transfer into falling films.
In: International Journal of Heat and Mass Transfer, 69
doi: 10.1016/j.ijheatmasstransfer.2013.10.025
Artikel, Bibliographie

Dieter-Kissling, Kathrin ; Karbaschi, Mohsen ; Marschall, Holger ; Javadi, Aliyar ; Miller, Reinhard ; Bothe, Dieter (2014)
On the applicability of Drop Profile Analysis Tensiometry at high flow rates using an interface tracking method.
In: Colloids and Surfaces A: Physicochemical and Engineering Aspects, 441
doi: 10.1016/j.colsurfa.2012.10.047
Artikel, Bibliographie

Bothe, D. ; Fischer, A. ; Pierre, M. ; Rolland, G. (2014)
Global existence for diffusion-electromigration systems in space dimension three and higher.
In: Nonlinear Analysis A: Theory Methods and Applications, (99)
Artikel, Bibliographie

Albert, C. ; Tezuka, A. ; Bothe, D. (2014)
Global linear stability analysis of falling films with in- and outlet.
In: Journal of Fluid Mech., 745
Artikel, Bibliographie

Bothe, D. ; Soga, K. (2014)
Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent.
In: Proc. Int. Conf. on Mathematical Fluid Dynamics
Artikel, Bibliographie

Fleckenstein, Stefan (2014)
Modeling and direct numerical simulation of mass transfer from rising gas bubbles.
Technische Universität Darmstadt
Dissertation, Bibliographie

Bothe, Dieter ; Fleckenstein, Stefan (2013)
A Volume-of-Fluid-based method for mass transfer processes at fluid particles.
In: Chemical Engineering Science, 101
doi: 10.1016/j.ces.2013.05.029
Artikel, Bibliographie

Roth, N. ; Mercadé, C. ; Gomaa, H. ; Focke, Christian ; Bothe, D. ; Roisman, Ilia V. ; Weigand, B. (2013)
Collision of Droplets: Experimental, Analytical and Numerical Approach.
ILASS 2013. Chania Crete
Konferenzveröffentlichung, Bibliographie

Ma, C. ; Bothe, D. (2013)
Numerical modeling of thermocapillary two-phase flows using a two-scalar approach for heat transfer.
In: J. Comp. Physics, (233)
doi: 10.1016/j.jcp.2012.09.011
Artikel, Bibliographie

Focke, Christian ; Kuschel, M. ; Sommerfeld, M. ; Bothe, D. (2013)
Computational and Experimental Analysis of Binary Collisions of Non-Isoviscous Liquid Droplets.
In: Int. J. Multiphase Flow, (56)
Artikel, Bibliographie

Bothe, D. ; Fleckenstein, S. (2013)
Modeling and VOF-based numerical simulation of mass transfer processes at fluidic particles.
In: Chem. Eng. Science , 102
Artikel, Bibliographie

Bothe, D. ; Fleckenstein, S. (2013)
Simplified modeling of the influence of surfactants on the rise of bubbles in VOF-Simulations.
In: Chem. Eng. Science , (102)
Artikel, Bibliographie

Bothe, D. ; Köhne, M. ; Prüss, J. (2013)
On a Class of Energy Preserving Boundary Conditions for Incompressible Newtonian Flows.
In: SIAM J. Math. Anal. , (45)
Artikel, Bibliographie

Chen, X. ; Marschall, H. ; Schäfer, M. ; Bothe, D. (2013)
A comparison of different methods for viscoelastic flow simulation.
In: J. of Comp. Fluid Dynamics , (27)
Artikel, Bibliographie

Chen, Xingyuan ; Marschall, Holger ; Schäfer, Michael ; Bothe, Dieter (2013)
A comparison of stabilisation approaches for finite-volume simulation of viscoelastic fluid flow.
In: International Journal of Computational Fluid Dynamics, 27 (6-7)
Artikel, Bibliographie

Bothe, D. ; Pierre, M. (2012)
The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction.
In: Discrete and Continuous Dynamical Systems Series S, 5 (1)
doi: 10.3934/dcdss.2012.5.49
Artikel, Bibliographie

Kissling, K. ; Marschall, H. ; Bothe, D.
Hrsg.: Schindler, F.-P. (2012)
Direct Numerical Simulation of Multicomponent Surfactant Transport on Fluid Interfaces.
6th International Berlin Workshop – IBW6 on Transport Phenomena with Moving Boundaries. Berlin (24.11.2011-25.11.2011)
Konferenzveröffentlichung, Bibliographie

Fleckenstein, S. ; Kröger, M. ; Bothe, D. (2012)
Numerical model of mass transfer from deformable gas bubbles using an unsplit 3D subgrid scale model.
6th International Berlin Workshop – IBW6 on Transport Phenomena with Moving Boundaries. Berlin (24.11.2011-25.11.2011)
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Wittbold, P. (2012)
Abstract reaction-diffusion systems with m-completely accretive diffusion operators and measurable reaction rates.
In: Communications on Pure and Applied Analysis, 11 (6)
doi: 10.3934/cpaa.2012.11.2239
Artikel, Bibliographie

Bothe, D. ; Pierre, M. ; Rolland, G. (2012)
Cross-diffusion limit for a reaction-diffusion system with fast reversible reaction.
In: Comm. PDE, 37 (11)
Artikel, Bibliographie

Bothe, D. (2012)
Mathematical Modeling and Direct Numerical Simulation of Transport Processes at Fluidic Interfaces.
In: Chemical Engineering of Japan, 76 (6)
Artikel, Bibliographie

Focke, Christian ; Bothe, D. (2012)
Direct numerical simulation of binary off-center collision of shear thinning droplets at high Weber numbers.
In: Phys. Fluids, 24 (073105)
doi: 10.1063/1.4737582
Artikel, Bibliographie

Bothe, D. ; Lojewski, A. ; Warnecke, H.-J. (2011)
Fully resolved numerical simulation of reactive mixing in a T-shaped micromixer using parabolized species equations.
In: Chemical Engineering Science, 66 (24)
doi: 10.1016/j.ces.2011.08.045
Artikel, Bibliographie

Ma, Chen ; Bothe, Dieter (2011)
Direct numerical simulation of thermocapillary flow based on the Volume of Fluid method.
In: International Journal of Multiphase Flow, 37 (9)
doi: 10.1016/j.ijmultiphaseflow.2011.06.005
Artikel, Bibliographie

Fleckenstein, S. ; Bothe, D. (2011)
Modeling and 3D simulation of Physical mass transfer at single rising gas bubbles for moderate Schmidt numbers.
8th International Conference on CFD in Oil & Gas, Metallurgical and Process Industries SINTEF/NTNU. Trondheim NORWAY (21.06.2011-23.06.2011)
Konferenzveröffentlichung, Bibliographie

Saal, J. ; Nau, T. (2011)
R-sectoriality of truly cylindrical boundary value problems. In Trends in Mathematics. Parabolic Problems.
In: The Herbert Amann Festschrift to the occasion of his 70th birthday, to appear
Artikel, Bibliographie

Bothe, D.
Hrsg.: Escher, J. (2011)
On the Maxwell-Stefan approach to multicomponent diffusion.
Konferenzveröffentlichung, Bibliographie

Focke, Christian ; Bothe, D. (2011)
Computational Analysis of Binary Collisions of shear-thinning Droplets.
In: Journal of Non-Newtonian Fluid Mechanics, 166 (14-15)
doi: 10.1016/j.jnnfm.2011.03.011 (2011
Artikel, Bibliographie

Bothe, D. ; Kröger, M. ; Warnecke, H.-J. (2011)
A VOF-Based Conservative Method for the Simulation of Reactive Mass Transfer from Rising Bubbles.
In: Fluid Dynamics & Materials Processing, 7 (3)
Artikel, Bibliographie

Saal, J. ; Giga, Y. (2011)
L^1 maximal regularity for the Laplacian and applications.
In: AIMS Proceedings, to appear
Artikel, Bibliographie

Denk, Robert ; Geissert, Matthias ; Hieber, Matthias ; Saal, Juergen ; Sawada, Okihiro (2011)
The Spin-Coating Process: Analysis of the Free Boundary Value Problem.
In: Communications in Partial Differential Equations, 36 (7)
Artikel, Bibliographie

Köhne, M. ; Prüss, J. ; Wilke, M. (2010)
On quasilinear parabolic evolution equations in weighted L^p-spaces.
In: J. Evol. Equ., 10
doi: 10.1007/s00028-010-0056-0
Artikel, Bibliographie

Saal, J. (2010)
Wellposedness of the Tornado-Hurricane equations.
In: Discrete and Continuous Dynamical Systems - Series A, 26 (2)
Artikel, Bibliographie

Saal, J. ; Hieber, M. ; Hess, M. ; Mahalov, A. (2010)
Nonlinear Stability of Ekman boundary layers.
In: Bull. Lond. Math. Soc., 42 (4)
Artikel, Bibliographie

Bothe, D. ; Prüss, J. (2010)
Stability of equilibria for two-phase flows with soluble surfactant.
In: The Quarterly Journal of Mechanics & Applied Mathematics, 63 (2)
doi: 10.1093/qjmam/hbq003
Artikel, Bibliographie

Bothe, D. ; Pierre, M. (2010)
Quasi-steady-state approximation for a reaction-diffusion system with fast intermediate.
In: J. Math. Analysis & Application, 368 (1)
Artikel, Bibliographie

Bothe, D. ; Prüss, J. (2010)
On the Two-Phase Navier-Stokes Equations with Boussinesq-Scriven Surface.
In: Fluid J. Math. Fluid Mech., 12 (1)
doi: 10.1007/s00021-008-0278-x
Artikel, Bibliographie

Warnecke, H.-J. ; Bothe, D. ; Berth, G. ; Hüsch, K.-P. ; Zrenner, A. (2010)
Modellbasierte Bestimmung lokal gültiger Kinetiken chemischer Reaktionen in Flüssigphase mittels Flachbettmikroreaktor.
In: Chem. Ing. Tech., 82
doi: 10.1002/cite.200900169
Artikel, Bibliographie

Alke, A. ; Bothe, D. ; Kröger, M. ; Weigand, B. ; Weirich, Dominik ; Weking, H.
Direct numerical simulation of high Schmidt number mass transfer from air bubbles rising in liquids using the Volume-of-Fluid-Method.
In: Ercoftac Bulletin, 82
Artikel, Bibliographie

Bothe, D. ; Lojewski, A. ; Warnecke, H.-J. (2010)
Computational analysis of an instantaneous irreversible reaction in a T-microreactor.
In: AIChE J., 56 (6)
Artikel, Bibliographie

Bothe, D.
Hrsg.: Bockhorn, H. ; Warnecke, H.-J. ; Peukert, W. ; Mewes, D. (2010)
Evaluating the quality of a mixture: degree of homogeneity and scale of segregation.
In: Heat and Mass Transfer
doi: 10.1007/978-3-642-04549-3_2
Buchkapitel, Bibliographie

Bothe, D. ; Lojewski, A. ; Warnecke, H.-J.
Hrsg.: Bockhorn, H. ; Mewes, D. ; Peukert, W. ; Warnecke, H.-J. (2010)
Computational Analysis of Reactive Mixing in T-microreactors.
In: Micro and Macro Mixing – Analysis, Simulation and Numerical Calculation
Buchkapitel, Bibliographie

Seck, O. ; Maxisch, T. ; Bothe, D. ; Warnecke, H.-J. (2010)
Investigation of the Mixing and Devolatilization Behavior in a Continuous Twin-Shaft Kneader.
In: Macromolecular Symposia, 289 (1)
doi: 10.1002/masy.200900020
Artikel, Bibliographie

Kröger, M. ; Bothe, D. ; Warnecke, H.-J. (2010)
A VOF-based conservative method for the simulation of reactive mass transfer from rising bubbles.
7th International Conference on Multiphase Flow, ICMF 2010. Tampa/Florida (30.05.2010-04.06.2010)
Konferenzveröffentlichung, Bibliographie

Seck, O. ; Maxisch, T. ; Bothe, D. ; Warnecke, H.-J.
Hrsg.: Guo, L. J. ; Joseph, J. J. ; Matsumoto, Y. (2010)
Investigation of the Mixing Behavior and the Generation of Contact-Area in a Continuous Twin-Shaft Kneader.
6th International Symposi-um on Multiphase Flow, Heat Mass Transfer and Energy Conversion .
Konferenzveröffentlichung, Bibliographie

Denk, R. ; Saal, J. ; Seiler, J. (2009)
Bounded H^\infty-calculus for pseudodifferential Douglis-Nirenberg systems of mild regularity.
In: Math. Nachr., 282 (3)
Artikel, Bibliographie

Alke, A. ; Bothe, D. (2009)
3D Numerical Modeling of Soluble Surfactant at Fluidic Interfaces Based on the Volume-of-Fluid Method.
In: Fluid Dynamics & Materials Processing, 5 (4)
doi: 10.3970/fdmp.2009.005.345
Artikel, Bibliographie

Bothe, D. ; Kröger, M. ; Alke, A. ; Warnecke, H.-J.
VOF-based simulation of conjugate mass transfer from freely moving fluid particles.
In: Computational Methods in Multiphase Flow V
doi: 10.2495/MPF090141
Artikel, Bibliographie

Bothe, D. ; Kröger, M. ; Alke, A. ; Warnecke, H.-J. (2009)
VOF-based simulation of reactive mass transfer across deformable interfaces.
In: Progress in computational fluid dynamics PCFD, 9 (6/7)
doi: 10.1504/PCFD.2009.027363
Artikel, Bibliographie

Bothe, D.
Hrsg.: Dietrich, T. (2009)
Microfluidic Modules: Calculations and Simulations.
In: Microchemical Engineering in Practice
Buchkapitel, Bibliographie

Bothe, D. ; Alke, A. (2008)
Direct Numerical Simulation of Bubble Dynamics and Transfer Processes in Pure and Contaminated Systems.
6th Int. Conf. on Computational Fluid Dynamics in the Oil & Gas, Metallurgical and Process Industries. Trondheim/Norway
Konferenzveröffentlichung, Bibliographie

Giga, Y. ; Inui, K. ; Mahalov, A. ; Saal, J. (2008)
Uniform global solvability of the Navier-Stokes equations for nondecaying initial data.
In: Indiana Univ. Math. J., 57 (6)
Artikel, Bibliographie

Bothe, D. ; Stemich, C. ; Warnecke, H.-J. (2008)
Computation of Scales and Quality of mixing in a T-shaped microreactor.
In: Comp. & Chem. Eng., 32
doi: 10.1016/j.compchemeng.2007.08.001
Artikel, Bibliographie

Bothe, D. ; Kröger, M. ; Alke, A. ; Warnecke, H.-J. (2008)
VOF-Based Simulation of Reactive Mass Transfer across Deformable Interfaces.
6th International Conference on CFD in Oil&Gas, Metallurgical and Process Industries. Trondheim, Norway (10.06.2008-12.06.2008)
Konferenzveröffentlichung, Bibliographie

Saal, J. (2007)
The Stokes operator with Robin boundary conditions in solenoidal subspaces of L^1(R^n_+)and L^infty(R^n_+).
In: Commun. Partial Differ. Equations, 32 (3)
Artikel, Bibliographie

Saal, J. (2007)
Strong solutions to the Navier-Stokes equations in bounded and unbounded domains with a moving boundary.
In: Electron. J. Diff. Eqns.,, (15)
Artikel, Bibliographie

Prüss, J. ; Saal, J. ; Simonett, G. (2007)
Existence of analytic solutions for the classical Stefan problem.
In: Math. Ann., 338
Artikel, Bibliographie

Saal, J. (2007)
Existence and regularity of weak solutions for the Navier-Stokes equations with partial slip boundary conditions.
In: RIMS Kôkyûroku Bessatsu, B1
Artikel, Bibliographie

Giga, Y. ; Inui, K. ; Mahalov, A. ; Saal, J. (2007)
Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets.
In: Adv. Differ. Equ., 12 (7)
Artikel, Bibliographie

Giga, Y. ; Inui, K. ; Matsui, S. ; Mahalov, A. ; Saal, J. (2007)
Rotating Navier-Stokes equations in a half-space with initial data nondecreasing at infinity: The Ekman boundary layer problem.
In: Arch. Ration. Mech. Anal., 186
Artikel, Bibliographie

Prüss, J. ; Saal, J. ; Simonett, G. (2007)
Analytic solutions for the classical two-phase Stefan problem.
In: Proceedings of Equadiff-11, International Conference on Differential Equations 2005
Artikel, Bibliographie

Giga, Y. ; Saal, J. (2007)
On the stability of the Ekman boundary layer.
In: PAMM Proc. Appl. Math. Mech., 7
Artikel, Bibliographie

Saal, J. (2007)
R-Boundedness, H∞-Calculus, Maximal (Lp−) Regularity and Applications to Parabolic PDE’s.
Veranstaltung: Special Lectures Supported by GP. Tokyo (26.01.2006-27.01.2006)
Vorlesung, Seminar, Lehrmaterial, Bibliographie

Bothe, D. ; Prüss, J. (2007)
Lp-theory for a class of non-Newtonian fluids.
In: SIAM J. Math. Anal., 39
Artikel, Bibliographie

Bothe, D. ; Shirzadi, H. ; Warnecke, H.-J. (2007)
Evaluations of Euler-Euler Simulations of Bubble Columns by Numerical Tracer Experiments.
In: Trans. IChemE Part A, 85
doi: 10.1205/cherd06249
Artikel, Bibliographie

Kröger, M. ; Alke, A. ; Bothe, D. ; Warnecke, H.-J.
Hrsg.: Schindler, F.-P. (2007)
A VOF-based approach for the simulation of reactive mass transfer from rising bubbles.
4thInternational Berlin Workshop – IBW4 on Transport Phenomena with Moving Boundaries. TU Berlin
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Schmidtke, M. ; Warnecke, H.-J. (2007)
Direct Numerical Computation of the Lift Force acting on Single Bubbles.
6th International Conference on Multiphase Flow, ICMF2007. Leipzig
Konferenzveröffentlichung, Bibliographie

Alke, A. ; Bothe, D. (2007)
VOF-simulation of fluid particles influenced by soluble surfactants.
6th International Conference on Multiphase Flow, ICMF2007. Leipzig
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Schmidtke, M. ; Warnecke, H.-J. (2006)
VOF-Simulation of the lift force for single bubbles in a simple shear flow.
In: Chem. Eng. Tech., 29 (9)
doi: 10.1002/ceat.200600168
Artikel, Bibliographie

Alke, A. ; Bothe, D. (2006)
A VOF-based method for the simulation of gas bubbles influenced by surfactants.
7th German/Japanese Symposium on Bubble Columns, VDI-GVC Society for Process Engineering. Goslar (20.05.2006-23.05.2006)
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Steinkemper, A. ; Warnecke, H.-J. (2006)
Modeling the dehydration of tert-butyl alcohol and avoidance of the formation of oligomers.
In: Ind. Eng. Chem. Res., 45
doi: 10.1021/ie050623r
Artikel, Bibliographie

Saal, J. (2006)
Stokes and Navier-Stokes equations with Robin boundary conditions in a half-space.
In: J. Math. Fluid Mech., 8
Artikel, Bibliographie

Schmidtke, M. ; Bothe, D. ; Warnecke, H.-J. (2006)
Migration of single bubbles in linear shear flow.
3rd International Berlin Worshop - IBW3 onn Transport Phenomena with moving Boundaries. Berlin (06.09.2005-07.09.2005)
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Stemich, C. ; Warnecke, H.-J. (2006)
Fluid mixing in a T-shaped micro-mixer.
In: Chem. Eng. Sci., 61
doi: 10.1016/j.ces.2005.10.060
Artikel, Bibliographie

Bothe, D. ; Stemich, C. ; Warnecke, H.-J.
Hrsg.: Marquardt, W. ; Pantelidis, C. (2006)
Mixing in a T-shaped microreactor: scales and quality of mixing.
doi: 10.1016/S1570-7946(06)80071-4
Konferenzveröffentlichung, Bibliographie

Saal, J.
The Stokes operator with Robin boundary conditions in L^\infty_sigma(R^n_+).
In: F. Durmortier, H. Broer, J. Mahwin, A. Vanderbauwehde, and S.V. Lunel, editors, Proceedings of the International Conference on Differential Equations
Artikel, Bibliographie

Bothe, D. ; Prüss, J. ; Simonett, G.
Hrsg.: Chipot, M. ; Escher, J. (2005)
Well-posedness of a two-phase flow with soluble surfactant.
doi: 10.1007/3-7643-7385-7_3
Konferenzveröffentlichung, Bibliographie

Bothe, D. (2005)
Flow invariance for nonlinear accretive evolutions under range conditions.
In: J. Evol. Eqs., 5
doi: 10.1007/s00028-005-0185-z
Artikel, Bibliographie

Bothe, D.
Hrsg.: Sommerfeld, M. (2005)
VOF-simulations of fluid particle dynamics.
Proc. 11th Workshop on Two-Phase Flow Predictions. Merseburg
Konferenzveröffentlichung, Bibliographie

Alke, A. ; Bothe, D.
Hrsg.: Kraume, M. (2005)
A VOF-based method for the simulation of fluid-liquid-interfaces influenced by surfactants.
3rd International Berlin Workshop – IBW3 on Transport Phenomena With Moving Boundaries. TU Berlin
Konferenzveröffentlichung, Bibliographie

Schmidtke, M. ; Bothe, D. ; Warnecke, H.-J.
Hrsg.: Kraume, M. (2005)
Migration of single bubbles in linear shear flows.
3rd International Berlin Workshop – IBW3 on Transport Phenomena With Moving Boundaries. TU Berlin
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Warnecke, H.-J.
Hrsg.: Boyadjiev, C. ; Hristov, J. (2005)
VOF-simulation of rising air bubbles with mass transfer to the ambient liquid.
11th Workshop on Transport Phenomena in Two-Phase Flow.
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Koebe, M. ; Wielage, K. ; Prüss, J. ; Warnecke, H.-J.
Hrsg.: Sommerfeld, M. (2004)
Direct numerical simulation of mass transfer between rising gas bubbles and water.
In: Bubbly Flows: Analysis, Modelling and Calculation , Heat and Mass Transfer
Buchkapitel, Bibliographie

Bothe, D. ; Koebe, M. ; Warnecke, H.-J.
Hrsg.: Schindler, F.-P. (2004)
VOF-simulation of the rise behavior of single air bubbles with oxygen transfer to the ambient liquid.
Konferenzveröffentlichung, Bibliographie

Bothe, D. (2003)
Instantaneous limits of reversible chemical reactions in presence of macroscopic convection.
In: J. Differ. Equations, (193)
doi: 10.1016/S0022-0396(03)00148-7
Artikel, Bibliographie

Bothe, D. ; Koebe, M. ; Wielage, K. (2003)
VOF-Simulations of Mass Transfer from single Bubbles and Bubble Chains rising in Aqueous Solutions.
Konferenzveröffentlichung, Bibliographie

Noll, A. ; Saal, J. (2003)
H^\infty-calculus for the Stokes operator on L q-spaces.
Report, Bibliographie

Saal, J. (2003)
H1-calculus for the Stokes operator on Lq-spaces. I.
In: Evolution Equations, 79
Artikel, Bibliographie

Bothe, D. ; Hilhorst, D. (2003)
A reaction-diffusion system with fast reversible reaction.
In: J. Math. Anal. Appl., (286)
doi: 10.1016/S0022-247X(03)00457-8
Artikel, Bibliographie

Bothe, D. (2003)
Nonlinear Evolutions with Caratheodory forcing.
In: Journal of evolution equations : JEE, 3 (3)
doi: 10.1007/s00028-003-0099-5
Artikel, Bibliographie

Koebe, M. ; Bothe, D. ; Warnecke, H.-J. (2003)
Direct Numerical Simulation of air bubbles in water/glycerol mixtures: Shapes and velocity fields.
Proc. 2003 ASME Joint U.S.-European Fluids Eng. Conf..
Konferenzveröffentlichung, Bibliographie

Räbiger, N. ; Hoffmann, M. ; Schlüter, M. ; Blazy, S. ; Bothe, D. ; Stemich, C. ; Warnecke, H.-J. (2003)
Experimental and numerical investigations of T-shaped micromixers.
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Gerigk, U. ; Warnecke, H.-J.
Hrsg.: The Society of Chemical Engineers (2003)
Hydrodynamic macro-mixing in two-phase bubble columns – Euler-Euler simulations validated by integral measurement techniques.
6th Japanese/German Symposium on Bubble Columns.
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Jakobs, D. ; Warnecke, H.-J. (2002)
The effect of adjacent layers like biofilms on mass transport through nanofiltration membranes.
In: Eng. Life Sci., 2 (10)
doi: 10.1002/1618-2863
Artikel, Bibliographie

Bothe, D. ; Prüss, J.
Hrsg.: Bemelmans, J. ; Brighi, B. ; Brillard, A. ; Chipot, M. ; Conrad, F. ; Shafrir, I. ; Valente, V. ; Vergara-Caffarelli, G. (2002)
Mass transport through charged membranes.
Konferenzveröffentlichung, Bibliographie

Reipschläger, O. ; Bothe, D. ; Monien, B. ; Prüss, J. ; Weigand, B. ; Warnecke, H.-J.
Hrsg.: Lozano, A. (2002)
Modeling and simulation of the disintegration process in ultrasonic standing wave atomizers.
Konferenzveröffentlichung, Bibliographie

Motzigemba, M. ; Roth, N. ; Bothe, D. ; Warnecke, H.-J. ; Prüss, J. ; Wielage, K. ; Weigand, B.
Hrsg.: Lozano, A. (2002)
The Effect of Non-Newtonian Flow Behaviour on Binary Droplet Collisions: VOF-Simulation and Experimental Analysis.
Konferenzveröffentlichung, Bibliographie

Koebe, M. ; Bothe, D. ; Prüss, J. ; Warnecke, H.-J. (2002)
3D Direct Numerical Simulation of air bubbles in water at high Reynolds numbers.
Proc. 2002 ASME Joint U.S.-European Fluids Eng. Conf.. Montreal, Canada
doi: 10.1115/fedsm2002-31143
Konferenzveröffentlichung, Bibliographie

Koschut, G. ; Bothe, D. ; Prüss, J. ; Warnecke, H.-J. (2001)
Instationary shrinking-core models for heterogeneous ionic reactions.
In: Chem. and Eng. Tech., 24 (8)
doi: 10.1002/1521-4125
Artikel, Bibliographie

Bothe, D. (2001)
Periodic solutions of a nonlinear evolution problem from Heterogeneous Catalysis.
In: Differential and Integral Equations, 14
Artikel, Bibliographie

Hilker, I. ; Bothe, D. ; Prüss, J. ; Warnecke, H.-J. (2001)
Chemo-enzymatic epoxidation of unsaturated plant oils.
In: Chem. Eng. Sci., 56
doi: 10.1016/S0009-2509(00)00245-1
Artikel, Bibliographie

Bothe, D. ; Jakobs, D. ; Warnecke, H.-J. (2001)
The effect of adjacent layers like biofilms on mass transport through nanofiltration membranes.
In: CIT, 73
Artikel, Bibliographie

Motzigemba, M. ; Bothe, D. ; Broecker, H.-C. ; Prüss, J. ; Warnecke, H.-J.
Hrsg.: Akker, H. E. A. van den ; Derksen, J . J. (2000)
A contribution to simulation of mixing in screw extruders employing commercial CFD-software.
Konferenzveröffentlichung, Bibliographie

Bothe, D. ; Waatsack, T. ; Warnecke, H.-J. (2000)
Kinetic modeling of simultaneous phosphate precipitation in municipal sewage treatment plants.
In: Chem. and Eng. Tech., (23)
Artikel, Bibliographie

Bothe, D.
Hrsg.: Lumer, G. ; Weis, L. (2000)
The instantaneous limit of a reaction-diffusion system Evolution Equations and Their Applications in Physical and Life Sciences.
Konferenzveröffentlichung, Bibliographie

Bothe, D. (1999)
Periodic solutions of non-smooth friction oscillators.
In: Z. Angew. Math. Phys., 50
Artikel, Bibliographie

Bothe, D. ; Waatsack, T. ; Warnecke, H.-J. (1999)
Kinetic modeling of simultaneous phosphate precipitation in municipal sewage treatment plants.
In: CIT, 71
Artikel, Bibliographie

Bothe, D. ; Prüss, J. (1999)
Dynamics of a core-shell reaction-diffusion system.
In: Commun.Partial Differential Equations, 24
Artikel, Bibliographie

Bothe, D. (1998)
Multivalued perturbations of m-accretive differential inclusions.
In: Isr. J. Math., 108
Artikel, Bibliographie

Bothe, D. (1996)
Flow invariance for perturbed nonlinear evolution equations.
In: Abstract and Applied Analysis, 1
Artikel, Bibliographie

Bothe, D.
Hrsg.: Lakshmikantham, V. (1996)
Multivalued differential equations with time-dependent constraints.
In: Proc. of the First World Congress of Nonlinear Analysis
Buchkapitel, Bibliographie

Bothe, D. (1996)
Upper semicontinuous perturbations of m-accretive operators and differential inclusions with dissipative right-hand side.
In: Topology in Nonlinear Analysis, 35
Artikel, Bibliographie

Bothe, D. (1992)
Multivalued differential equations of graphs.
In: Nonlin. Anal., 18
Artikel, Bibliographie

Bothe, D. (1991)
Minimal solutions of multivalued differential equations.
In: Diff. and Integral Eqs., 4
Artikel, Bibliographie