A

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), pp. 3521-3552. Birkhäuser Science, ISSN 1424-3199,
DOI: 10.1007/s00028-021-00692-4,
[Article]

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), pp. 533-574. American Institute of Mathematical Sciences, ISSN 1937-1632,
DOI: 10.3934/dcdss.2020406,
[Article]

Augner, Björn (2020):
Uniform Exponential Stabilisation of Serially Connected Inhomogeneous Euler-Bernoulli Beams.
In: ESAIM: Control, Optimisation and Calculus of Variations, 26, p. 24. EDP Sciences, ISSN 12928119,
DOI: 10.1051/cocv/2020036,
[Article]

Augner, Björn (2020):
Well-posedness and stability for interconnection structures of port-Hamiltonian type.
In: Operator Theory: Advances and Applications, In: Control Theory of Infinite-Dimensional Systems, 1. Auflage, pp. 1-52, Basel, Birkhäuser Science, ISBN 978-3-030-35897-6,
DOI: 10.1007/978-3-030-35898-3,
[Book Section]

Augner, Björn (2019):
Well-Posedness and Stability of Infinite-Dimensional Linear Port-Hamiltonian Systems with Nonlinear Boundary Feedback.
57, In: SIAM Journal on Control and Optimization, (3), pp. 1818-1844. ISSN 0363-0129,
DOI: 10.1137/15M1024901,
[Article]

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, pp. 343-357. Elsevier, ISSN 0017-9310,
DOI: 10.1016/j.ijheatmasstransfer.2013.10.025,
[Article]

Albert, C. ; Tezuka, A. ; Bothe, D. (2014):
Global linear stability analysis of falling films with in- and outlet.
In: Journal of Fluid Mech., 745, pp. 444-486. [Article]

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, pp. 66-71. ISSN 0301-9322,
[Article]

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: special issue „Dispersed Multiphase Flow: From Micro- to Maco-Scale Numerical Modelling“, In: Ercoftac Bulletin, 82, pp. 5-10. [Article]

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), pp. 345-372. [Article]

Alke, A. ; Bothe, D. (2007):
VOF-simulation of fluid particles influenced by soluble surfactants.
In: paper S1ThuC57, 6th International Conference on Multiphase Flow, ICMF2007, Leipzig, [Conference or Workshop Item]

Alke, A. ; Bothe, D. (2006):
A VOF-based method for the simulation of gas bubbles influenced by surfactants.
pp. 169-176, 7th German/Japanese Symposium on Bubble Columns, VDI-GVC Society for Process Engineering, Goslar, 20-23 May 2006, [Conference or Workshop Item]

Alke, A. ; Bothe, D.
Kraume, M. (ed.) (2005):
A VOF-based method for the simulation of fluid-liquid-interfaces influenced by surfactants.
pp. 36-47, 3rd International Berlin Workshop – IBW3 on Transport Phenomena With Moving Boundaries, TU Berlin, [Conference or Workshop Item]

B

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), AIP Publishing, ISSN 1070-6631,
DOI: 10.1063/5.0131032,
[Article]

Bothe, Dieter (2022):
Sharp-interface continuum thermodynamics of multicomponent fluid systems with interfacial mass.
In: International Journal of Engineering Science, 179, Elsevier, ISSN 0020-7225,
DOI: 10.1016/j.ijengsci.2022.103731,
[Article]

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, Elsevier, ISSN 0142-727X,
DOI: 10.1016/j.ijheatfluidflow.2022.108943,
[Article]

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), pp. 1979-1987. Springer, ISSN 1951-6355,
DOI: 10.1140/epjst/e2020-000149-6,
[Article]

Bothe, Dieter (2020):
On moving hypersurfaces and the discontinuous ODE-system associated with two-phase flows.
In: Nonlinearity, 33 (10), pp. 5425-5456. IOP Publishing, ISSN 0951-7715, e-ISSN 1361-6544,
DOI: 10.1088/1361-6544/ab987d,
[Article]

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), pp. 305-315. IOP Publishing, ISSN 1938-5862, e-ISSN 1938-6737,
DOI: 10.1149/09809.0305ecst,
[Article]

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), pp. 677-709. ISSN 0022-247X,
[Article]

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), pp. 1-15. ISSN 1424-3199,
[Article]

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), pp. 101-130. ISSN 1424-3199,
[Article]

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), pp. 131-171. ISSN 1424-3199,
[Article]

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”, [Article]

Bothe, D. ; Prüss, J.
Aman, H. ; Giga, Y. ; Kozono, H. ; Okamoto, H. ; Yamazaki, M. (eds.) (2016):
On the interface formation model for dynamic triple lines.
In: Recent Developments of Mathematical Fluid Mechanics, pp. 25-47, Springer, [Book Section]

Bothe, D. ; Dreyer, W. (2015):
Continuum thermodynamics of chemically reacting fluid mixtures.
In: Acta Mechanica, 226 (6), pp. 1757-1805. ISSN 0001-5970,
[Article]

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), pp. 25-57. ISSN 0167-8019,
DOI: 10.1007/s10440-014-9968-y,
[Article]

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

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), pp. 152-166. [Article]

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, [Article]

Bothe, Dieter ; Fleckenstein, Stefan (2013):
A Volume-of-Fluid-based method for mass transfer processes at fluid particles.
In: Chemical Engineering Science, 101, pp. 283-302. ISSN 0009-2509,
DOI: 10.1016/j.ces.2013.05.029,
[Article]

Bothe, D. ; Fleckenstein, S. (2013):
Modeling and VOF-based numerical simulation of mass transfer processes at fluidic particles.
In: Chem. Eng. Science , 102, pp. 283-302. [Article]

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), pp. 514-523. [Article]

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), pp. 3768-3822. [Article]

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), pp. 49-59. to appear, [Article]

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), pp. 2239-2260. [Article]

Bothe, D. ; Pierre, M. ; Rolland, G. (2012):
Cross-diffusion limit for a reaction-diffusion system with fast reversible reaction.
In: Comm. PDE, 37 (11), pp. 1940-1966. [Article]

Bothe, D. (2012):
Mathematical Modeling and Direct Numerical Simulation of Transport Processes at Fluidic Interfaces.
In: Chemical Engineering of Japan, 76 (6), pp. 320-325. [Article]

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), pp. 6424-6440. [Article]

Bothe, D.
Escher, J. (ed.) (2011):
On the Maxwell-Stefan approach to multicomponent diffusion.
80, In: Progress in Nonlinear Differential Equations and their Applications, pp. 81-93,
Basel, Springer, [Conference or Workshop Item]

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), pp. 303-316. [Article]

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), pp. 177-199. [Article]

Bothe, D. ; Pierre, M. (2010):
Quasi-steady-state approximation for a reaction-diffusion system with fast intermediate.
In: J. Math. Analysis & Application, 368 (1), pp. 120-132. [Article]

Bothe, D. ; Prüss, J. (2010):
On the Two-Phase Navier-Stokes Equations with Boussinesq-Scriven Surface.
In: Fluid J. Math. Fluid Mech., 12 (1), pp. 133-150. [Article]

Bothe, D. ; Lojewski, A. ; Warnecke, H.-J. (2010):
Computational analysis of an instantaneous irreversible reaction in a T-microreactor.
In: AIChE J., 56 (6), pp. 1406-1415. [Article]

Bothe, D.
Bockhorn, H. ; Warnecke, H.-J. ; Peukert, W. ; Mewes, D. (eds.) (2010):
Evaluating the quality of a mixture: degree of homogeneity and scale of segregation.
In: Micro and Macro Mixing – Analysis, Simulation and Numerical Calculation, In: Heat and Mass Transfer, pp. 17-35, Springer, [Book Section]

Bothe, D. ; Lojewski, A. ; Warnecke, H.-J.
Bockhorn, H. ; Mewes, D. ; Peukert, W. ; Warnecke, H.-J. (eds.) (2010):
Computational Analysis of Reactive Mixing in T-microreactors.
In: Heat and Mass Transfer, In: Micro and Macro Mixing – Analysis, Simulation and Numerical Calculation, pp. 265-286, Springer, [Book Section]

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, pp. 157-168. WIT Press, [Article]

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), pp. 325-331. [Article]

Bothe, D.
Dietrich, T. (ed.) (2009):
Microfluidic Modules: Calculations and Simulations.
In: Microchemical Engineering in Practice, Jon Wiley & Sons, [Book Section]

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, [Conference or Workshop Item]

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, pp. 108-114. [Article]

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.-12. June 2008, [Conference or Workshop Item]

Bothe, D. ; Prüss, J. (2007):
Lp-theory for a class of non-Newtonian fluids.
In: SIAM J. Math. Anal., 39, pp. 379-421. [Article]

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, pp. 1-6. [Article]

Bothe, D. ; Schmidtke, M. ; Warnecke, H.-J. (2007):
Direct Numerical Computation of the Lift Force acting on Single Bubbles.
In: paper S1TueD26, 6th International Conference on Multiphase Flow, ICMF2007, Leipzig, [Conference or Workshop Item]

Bothe, D. ; Warnecke, H.-J. (2007):
Berechnung und Beurteilung strömungsbasierter komplex-laminarer Mischprozesse.
In: Chem. Ing. Tech., 79, pp. 1001-1014. [Article]

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), pp. 1048-1053. [Article]

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, pp. 2986-2993. [Article]

Bothe, D. ; Stemich, C. ; Warnecke, H.-J. (2006):
Fluid mixing in a T-shaped micro-mixer.
In: Chem. Eng. Sci., 61, pp. 2950-2958. [Article]

Bothe, D. ; Stemich, C. ; Warnecke, H.-J.
Marquardt, W. ; Pantelidis, C. (eds.) (2006):
Mixing in a T-shaped microreactor: scales and quality of mixing.
In: 16th European Symposium on Computer Aided Process Engineering and 9th International Symposium on Process Systems Engineering, pp. 351-357,
Garmisch-Partenkirchen (Germany), Elsevier, [Conference or Workshop Item]

Bothe, D. ; Prüss, J. ; Simonett, G.
Chipot, M. ; Escher, J. (eds.) (2005):
Well-posedness of a two-phase flow with soluble surfactant.
In: Nonlinear Elliptic and Parabolic Problems, pp. 37-61,
Birkhäuser, [Conference or Workshop Item]

Bothe, D. (2005):
Flow invariance for nonlinear accretive evolutions under range conditions.
In: J. Evol. Eqs., 5, pp. 227-252. [Article]

Bothe, D.
Sommerfeld, M. (ed.) (2005):
VOF-simulations of fluid particle dynamics.
pp. 1-13, Proc. 11th Workshop on Two-Phase Flow Predictions, Merseburg, [Conference or Workshop Item]

Bothe, D. ; Warnecke, H.-J.
Boyadjiev, C. ; Hristov, J. (eds.) (2005):
VOF-simulation of rising air bubbles with mass transfer to the ambient liquid.
pp. 61-72, Slanchev Bryag, Bulgaria , 11th Workshop on Transport Phenomena in Two-Phase Flow, [Conference or Workshop Item]

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, pp. 1480-1484. [Article]

Bothe, D. ; Koebe, M. ; Wielage, K. ; Prüss, J. ; Warnecke, H.-J.
Sommerfeld, M. (ed.) (2004):
Direct numerical simulation of mass transfer between rising gas bubbles and water.
In: Bubbly Flows: Analysis, Modelling and Calculation , Heat and Mass Transfer, pp. 159-174, Springer, ISBN 3-540-40791-x,
[Book Section]

Bothe, D. ; Koebe, M. ; Warnecke, H.-J.
Schindler, F.-P. (ed.) (2004):
VOF-simulation of the rise behavior of single air bubbles with oxygen transfer to the ambient liquid.
In: Proc. 2nd International Berlin Workshop – IBW2 on Transport Phenomena with Moving Boundaries, pp. 134-146,
Düsseldorf, VDI Verlag, [Conference or Workshop Item]

Bothe, D. ; Warnecke, H.-J. (2004):
Phänomenologisch-mechanistisches Modell der Kristallisation und Membranverblockung in der Umkehrosmose.
In: Chem. Ing. Tech., 76, pp. 1521-1528. [Article]

Bothe, D. (2003):
Instantaneous limits of reversible chemical reactions in presence of macroscopic convection.
In: J. Differ. Equations, (193), pp. 27-48. [Article]

Bothe, D. ; Koebe, M. ; Wielage, K. (2003):
VOF-Simulations of Mass Transfer from single Bubbles and Bubble Chains rising in Aqueous Solutions.
[Conference or Workshop Item]

Bothe, D. ; Hilhorst, D. (2003):
A reaction-diffusion system with fast reversible reaction.
In: J. Math. Anal. Appl., (286), pp. 125-135. [Article]

Bothe, D. (2003):
Nonlinear Evolutions with Caratheodory forcing.
In: Journal of evolution equations : JEE, 3 (3), pp. 375-394. [Article]

Bothe, D. ; Gerigk, U. ; Warnecke, H.-J.
The Society of Chemical Engineers (ed.) (2003):
Hydrodynamic macro-mixing in two-phase bubble columns – Euler-Euler simulations validated by integral measurement techniques.
pp. 165-171, Japan, 6th Japanese/German Symposium on Bubble Columns, [Conference or Workshop Item]

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), pp. 295-298. [Article]

Bothe, D. ; Prüss, J.
Bemelmans, J. ; Brighi, B. ; Brillard, A. ; Chipot, M. ; Conrad, F. ; Shafrir, I. ; Valente, V. ; Vergara-Caffarelli, G. (eds.) (2002):
Mass transport through charged membranes.
In: Proceedings 4th European Conference on Elliptic and Parabolic Problems, pp. 332-342,
World Sci. Publ., ISBN 981-238-045-0,
[Conference or Workshop Item]

Bothe, D. (2001):
Periodic solutions of a nonlinear evolution problem from Heterogeneous Catalysis.
In: Differential and Integral Equations, 14, pp. 641-670. [Article]

Bothe, D. ; Jakobs, D. ; Warnecke, H.-J. (2001):
The effect of adjacent layers like biofilms on mass transport through nanofiltration membranes.
In: CIT, 73, pp. 1625-1629. [Article]

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), pp. 670-674. [Article]

Bothe, D.
Lumer, G. ; Weis, L. (eds.) (2000):
The instantaneous limit of a reaction-diffusion system Evolution Equations and Their Applications in Physical and Life Sciences.
215, In: Physical and Lect. Notes Pure Appl. Math., pp. 215-224,
[Conference or Workshop Item]

Bothe, D. (1999):
Periodic solutions of non-smooth friction oscillators.
In: Z. Angew. Math. Phys., 50, pp. 779-808. [Article]

Bothe, D. ; Waatsack, T. ; Warnecke, H.-J. (1999):
Kinetic modeling of simultaneous phosphate precipitation in municipal sewage treatment plants.
In: CIT, 71, pp. 1421-1425. [Article]

Bothe, D. ; Prüss, J. (1999):
Dynamics of a core-shell reaction-diffusion system.
In: Commun.Partial Differential Equations, 24, pp. 463-497. [Article]

Bothe, D. (1998):
Multivalued perturbations of m-accretive differential inclusions.
In: Isr. J. Math., 108, pp. 109-138. [Article]

Bothe, Dieter (1997):
Reaction-diffusion systems with discontinuities. A viability approach.
In: Nonlinear Analysis: Theory, Methods & Applications, 30 (2), pp. 677-686. ISSN 0362546X,
DOI: 10.1016/S0362-546X(97)00247-2,
[Article]

Bothe, D. (1996):
Flow invariance for perturbed nonlinear evolution equations.
In: Abstract and Applied Analysis, 1, pp. 417-433. [Article]

Bothe, D.
Lakshmikantham, V. (ed.) (1996):
Multivalued differential equations with time-dependent constraints.
In: Proc. of the First World Congress of Nonlinear Analysis, pp. 1829-1839,
Tampa, Florida, 1992, [Conference or Workshop Item]

Bothe, D. (1996):
Upper semicontinuous perturbations of m-accretive operators and differential inclusions with dissipative right-hand side.
In: Topology in Nonlinear Analysis, 35, pp. 139-148. Banach Center Publications, [Article]

Bothe, D. (1992):
Multivalued differential equations of graphs.
In: Nonlin. Anal., 18, pp. 245-252. [Article]

Bothe, D. (1991):
Minimal solutions of multivalued differential equations.
In: Diff. and Integral Eqs., 4, pp. 445-447. [Article]

C

Chen, X. ; Focke, C. ; Marschall, H. ; Bothe, D.
Fritsching, Udo (ed.) (2016):
Investigation of Elementary Processes of Non-Newtonian Droplets Inside Spray Processes by Means of Direct Numerical Simulation.
In: Process-Spray, pp. 3-51, Springer, ISBN 978-3-319-32368-8,
[Book Section]

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, pp. 390-421. Elsevier, ISSN 0889-9746,
[Article]

Chen, Xingyuan (2014):
Numerical Modeling of Fluid-Structure Interaction with Rheologically Complex Fluids.
TU Darmstadt,
[Ph.D. Thesis]

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), pp. 229-250. [Article]

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), pp. 229-250. Taylor & Francis, [Article]

D

Deising, Daniel (2019):
Modelling and Numerical Simulation of Species Transfer in Bubbly Flows using OpenFOAM.
Darmstadt, Technische Universität,
[Ph.D. Thesis]

Deising, D. ; Bothe, D. ; Marschall, H. (2018):
Direct Numerical Simulation of Mass Transfer in Bubbly Flows.
In: Computers & Fluids, 172, pp. 524-538. ISSN 00457930,
DOI: 10.1016/j.compfluid.2018.03.041,
[Article]

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, pp. 173-195. ISSN 0009-2509,
[Article]

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, pp. 93-105. ISSN 0045-7930,
[Article]

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, pp. 168-184. ISSN 0045-7930,
[Article]

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, pp. 837-845. Elsevier, ISSN 0927-7757,
DOI: 10.1016/j.colsurfa.2012.10.047,
[Article]

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), pp. 1145-1192. Taylor & Francis, ISSN 0360-5302,
[Article]

Denk, R. ; Saal, J. ; Seiler, J. (2009):
Bounded H^\infty-calculus for pseudodifferential Douglis-Nirenberg systems of mild regularity.
In: Math. Nachr., 282 (3), pp. 386-407. [Article]

Denk, R. ; Saal, J. ; Seiler, J. (2008):
Inhomogeneous symbols, the Newton polygon, and maximal Lp-regularity.
In: Russian J. Math. Phys., 15 (2), pp. 171-192. [Article]

F

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, Elsevier ScienceDirect, ISSN 0927-7757,
DOI: 10.1016/j.colsurfa.2020.125688,
[Article]

Fricke, Mathis ; Bothe, Dieter (2020):
Boundary conditions for dynamic wetting - A mathematical analysis.
In: The European Physical Journal Special Topics, 229 (10), pp. 1849-1865. Springer, ISSN 1951-6355,
DOI: 10.1140/epjst/e2020-900249-7,
[Article]

Fricke, Mathis ; Marić, Tomislav ; Bothe, Dieter (2020):
Contact line advection using the geometrical Volume-of-Fluid method.
In: Journal of Computational Physics, 407, Elsevier, ISSN 0021-9991,
DOI: 10.1016/j.jcp.2019.109221,
[Article]

Fricke, Mathis ; Maric, T. ; Bothe, D. (2019):
Contact line advection using the Level Set method.
In: Proceedings in Applied Mathematics and Mechanics, 19 (1), Wiley-VCH, ISSN 1617-7061,
DOI: 10.1002/pamm.201900476,
[Article]

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

Fricke, Mathis ; Köhne, Matthias ; Bothe, Dieter (2019):
A kinematic evolution equation for the dynamic contact angle and some consequences.
In: Physica D: Nonlinear Phenomena, ISSN 01672789,
DOI: 10.1016/j.physd.2019.01.008,
[Article]

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, pp. 523-536. ISSN 00092509,
DOI: 10.1016/j.ces.2017.11.024,
[Article]

Fricke, Mathis ; Köhne, Matthias ; Bothe, Dieter (2018):
On the Kinematics of Contact Line Motion.
In: PAMM, 18 (1), pp. e201800451. ISSN 16177061,
DOI: 10.1002/pamm.201800451,
[Article]

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), ISSN 1070-6631,
[Article]

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, pp. 209-221. ISSN 0301-9322,
[Article]

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, pp. 209-221. ISSN 0301-9322,
[Article]

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, pp. 764-779. ISSN 0017-9310,
[Article]

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, pp. 35-58. ISSN 0021-9991,
[Article]

Fleckenstein, Stefan (2014):
Modeling and direct numerical simulation of mass transfer from rising gas bubbles.
Aachen, Shaker, TU Darmstadt, ISBN 978-3-8440-2909-3,
[Ph.D. Thesis]

Focke, Christian (2013):
Direkte Numerische Simulation binärer Kollisionen newtonscher und nichtnewtonscher Tropfen.
Darmstadt, TU Darmstadt,
[Ph.D. Thesis]

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), pp. 81-92. [Article]

Focke, Christian ; Bothe, D. (2012):
Direkte Numerische Simulation binärer Kollisionen scherverdünnender Tropfen.
In: Chemie Ingenieur Technik, 84 (1/2), pp. 1-7. WILEY-VCH Verlag GmbH & Co. KGaA, [Article]

Fleckenstein, S. ; Kröger, M. ; Bothe, D. (2012):
Numerical model of mass transfer from deformable gas bubbles using an unsplit 3D subgrid scale model.
In: VDI Reihe 3, 929, 6th International Berlin Workshop – IBW6 on Transport Phenomena with Moving Boundaries, Berlin, Spetmber 2011, [Conference or Workshop Item]

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,
[Article]

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, 21-23. June 2011, [Conference or Workshop Item]

Focke, Christian ; Bothe, D. (2011):
Computational Analysis of Binary Collisions of shear-thinning Droplets.
In: Journal of Non-Newtonian Fluid Mechanics, 166 (14-15), pp. 799-810. [Article]

G

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, pp. 142 - 165. ISSN 0307-904X,
DOI: 10.1016/j.apm.2020.04.020,
[Article]

Gründing, Dirk ; Fricke, Mathis ; Bothe, Dieter (2019):
Capillary Rise ‐ Jurin's Height vs Spherical Cap.
In: PAMM, 19 (1), pp. e201900336. ISSN 1617-7061,
DOI: 10.1002/pamm.201900336,
[Article]

Gründing, Dirk ; Bothe, Dieter ; Marschall, Holger (2018):
Wetting phenomena with ALE interface tracking.
In: PAMM, 18 (1), pp. e201800430. ISSN 16177061,
DOI: 10.1002/pamm.201800430,
[Article]

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, pp. 476-487. Elsevier, ISSN 0017-9310,
DOI: 10.1016/j.ijheatmasstransfer.2016.04.119,
[Article]

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), pp. 2775-2792. [Article]

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), pp. 721-736. [Article]

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, pp. 177-224. [Article]

Giga, Y. ; Saal, J. (2007):
On the stability of the Ekman boundary layer.
In: PAMM Proc. Appl. Math. Mech., 7, pp. 1041101-1041102. [Article]

H

Habes, Constantin (2023):
Towards a unified multiphysics framework applied to reactive bubbly flows. (Publisher's Version)
Darmstadt, Technische Universität Darmstadt, DOI: 10.26083/tuprints-00023030,
[Master Thesis]

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.
124, In: International Journal of Multiphase Flow, p. 103207. Elsevier, ISSN 03019322, e-ISSN 18793533,
DOI: 10.1016/j.ijmultiphaseflow.2020.103207,
[Article]

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, ISSN 0009-286X,
DOI: 10.1002/cite.201900041,
[Article]

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, pp. 285-300. ISSN 00219991,
DOI: 10.1016/j.jcp.2017.09.027,
[Article]

Hilker, I. ; Bothe, D. ; Prüss, J. ; Warnecke, H.-J. (2001):
Chemo-enzymatic epoxidation of unsaturated plant oils.
In: Chem. Eng. Sci., 56, pp. 427-432. [Article]

J

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, pp. 72-85. ISSN 00104655,
DOI: 10.1016/j.cpc.2018.10.015,
[Article]

K

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, Elsevier, ISSN 0021-9991,
DOI: 10.1016/j.jcp.2022.111840,
[Article]

Kromer, Johannes Richard ; Bothe, Dieter (2019):
Highly accurate computation of volume fractions using differential geometry.
In: Journal of Computational Physics, 396, pp. 761-784. Elsevier, ISSN 0021-9991,
DOI: 10.1016/j.jcp.2019.07.005,
[Article]

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, [Article]

Kleikemper, J.-A. (2018):
A comparative study of different mesh types for transport processes near gas bubbles regarding accuracy, stability, and run time.
Darmstadt, Technische Universität, [Bachelor Thesis]

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), pp. 10423-10429. ISSN 1932-7447,
DOI: 10.1021/acs.jpcc.8b01086,
[Article]

Karpowski, T. J. P. (2017):
Numerical simulation of reactive species transfer at a spherical gas bubble.
Darmstadt, Technische Universität, [Bachelor Thesis]

Kissling, K. ; Marschall, H. ; Bothe, D.
Schindler, F.-P. (ed.) (2012):
Direct Numerical Simulation of Multicomponent Surfactant Transport on Fluid Interfaces.
In: VDI Reihe 3, 929, 6th International Berlin Workshop – IBW6 on Transport Phenomena with Moving Boundaries, September, 2011, [Conference or Workshop Item]

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), pp. 1084-1095. [Article]

Köhne, M. ; Prüss, J. ; Wilke, M. (2010):
On quasilinear parabolic evolution equations in weighted L^p-spaces.
In: J. Evol. Equ., 10, pp. 443-463. Birkhäuser/Springer Basel AG, [Article]

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, 2010, [Conference or Workshop Item]

Kröger, M. ; Alke, A. ; Bothe, D. ; Warnecke, H.-J.
Schindler, F.-P. (ed.) (2007):
A VOF-based approach for the simulation of reactive mass transfer from rising bubbles.
pp. 290-301, 4thInternational Berlin Workshop – IBW4 on Transport Phenomena with Moving Boundaries, TU Berlin, [Conference or Workshop Item]

Koebe, M. ; Bothe, D. ; Warnecke, H.-J. (2003):
Direct Numerical Simulation of air bubbles in water/glycerol mixtures: Shapes and velocity fields.
Honolulu, USA, Proc. 2003 ASME Joint U.S.-European Fluids Eng. Conf., [Conference or Workshop Item]

Koebe, M. ; Bothe, D. ; Prüss, J. ; Warnecke, H.-J. (2002):
3D Direct Numerical Simulation of air bubbles in water at high Reynolds numbers.
In: FEDSM2002-31143,
Proc. 2002 ASME Joint U.S.-European Fluids Eng. Conf., Montreal, Canada, DOI: 10.1115/fedsm2002-31143,
[Conference or Workshop Item]

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), pp. 809-814. [Article]

L

Liu, M. ; Bothe, D. (2019):
Toward the predictive simulation of bouncing versus coalescence in binary droplet collisions.
In: Acta Mechanica, 230 (2), pp. 623-644. Springer, ISSN 0001-5970,
DOI: 10.1007/s00707-018-2290-4,
[Article]

Lippert, Anja Charlotte (2016):
Direct Numerical Simulations of Thermocapillary Driven Motions in Two-phase Flows.
Darmstadt, Technische Universität,
[Ph.D. Thesis]

Liu, M. ; Bothe, D. (2016):
Numerical study of head-on droplet collisions at high Weber numbers.
In: Journal of Fluid Mechanics, 789, pp. 785-805. ISSN 0022-1120,
[Article]

M

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), pp. 3470-3471. Wiley Periodicals LLC, ISSN 0008-4034, e-ISSN 1939-019X,
DOI: 10.1002/cjce.24618,
[Article]

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, p. 104451. ISSN 0377-0257,
DOI: 10.1016/j.jnnfm.2020.104451,
[Article]

Marić, Tomislav ; Kothe, Douglas B. ; Bothe, Dieter (2020):
Unstructured un-split geometrical Volume-of-Fluid methods – A review.
In: Journal of Computational Physics, 420, Elsevier, ISSN 0021-9991,
DOI: 10.1016/j.jcp.2020.109695,
[Article]

Meburger, Stefanie ; Niethammer, Matthias ; Bothe, Dieter ; Schäfer, Michael
Ingelsten, Simon ; Kádár, Roland (eds.) (2019):
Validation of viscoelastic, non-isothermal fluid flow simulations.
27, In: Annual Transactions of the Nordic Rheology Society, pp. 109-113,
Göteborg, Nordic Rheology Conference, ISBN ISBN 978-91-519-2631-5,
[Conference or Workshop Item]

Marić, T. ; Marschall, H. ; Bothe, D. (2018):
An enhanced un-split face-vertex flux-based VoF method.
In: Journal of Computational Physics, 371, pp. 967-993. ISSN 00219991,
DOI: 10.1016/j.jcp.2018.03.048,
[Article]

Maric, T. (2017):
Lagrangian/Eulerian numerical methods for fluid interface advection on unstructured meshes.
Darmstadt, Technische Universität,
[Ph.D. Thesis]

Maric, Tomislav ; Marschall, H. ; Bothe, D. (2015):
lentFoam - A hybrid Level Set / Front Tracking method on unstructured meshes.
In: Computers and Fluids, (113), pp. 20-31. Elsevier, [Article]

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, pp. 336-352. [Article]

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), pp. 552-573. [Article]

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), pp. 1045-1058. ISSN 0301-9322,
[Article]

Motzigemba, M. ; Roth, N. ; Bothe, D. ; Warnecke, H.-J. ; Prüss, J. ; Wielage, K. ; Weigand, B.
Lozano, A. (ed.) (2002):
The Effect of Non-Newtonian Flow Behaviour on Binary Droplet Collisions: VOF-Simulation and Experimental Analysis.
In: Proc. 18th Annual Conf. Liquid Atomization and Spray Systems, pp. 559-564,
ILASS-Europe, [Conference or Workshop Item]

Motzigemba, M. ; Bothe, D. ; Broecker, H.-C. ; Prüss, J. ; Warnecke, H.-J.
Akker, H. E. A. van den ; Derksen, J . J. (eds.) (2000):
A contribution to simulation of mixing in screw extruders employing commercial CFD-software.
In: Proc. 10th European Conf. on Mixing, pp. 297-304,
Delft, Elsevier, [Conference or Workshop Item]

N

Niethammer, Matthias Samuel (2019):
A finite volume framework for viscoelastic flows at high Weissenberg Number.
In: Ingenieurwissenschaften, München, Dr. Hut, TU Darmstadt, ISBN 978-3-8439-4064-1,
[Ph.D. Thesis]

Niethammer, Matthias ; Marschall, Holger ; Bothe, Dieter (2019):
Robust Direct Numerical Simulation of Viscoelastic Flows.
In: Chemie Ingenieur Technik, 91 (4), pp. 522-528. ISSN 0009-286X,
DOI: 10.1002/cite.201800108,
[Article]

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, pp. 326-355. ISSN 00219991,
DOI: 10.1016/j.jcp.2019.02.021,
[Article]

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), pp. 131-166. ISSN 02712091,
DOI: 10.1002/fld.4411,
[Article]

Noll, A. ; Saal, J. (2003):
H^\infty-calculus for the Stokes operator on L q-spaces.
244, In H. Kubo and T. Ozawa, editors, ”Evolution Equations”, volume 79 of Hokkaido University Technical Report Series in Mathematics,, [Report]

P

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, pp. 709-763. ISSN 0022-1120,
DOI: 10.1017/jfm.2018.723,
[Article]

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, pp. 277-300. ISSN 0022-1120,
[Article]

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), pp. 673-696. ISSN 1937-1632,
DOI: 10.3934/dcdss.2017034,
[Article]

Prüss, J. ; Saal, J. ; Simonett, G. (2007):
Existence of analytic solutions for the classical Stefan problem.
In: Math. Ann., 338, pp. 703-755. [Article]

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, pp. 415-425. [Article]

R

Raju, Suraj ; Gründing, Dirk ; Marić, Tomislav ; Bothe, Dieter ; Fricke, Mathis (2022):
Computing hydrodynamic eigenmodes of channel flow with slip — A highly accurate algorithm. (Publisher's Version)
In: The Canadian Journal of Chemical Engineering, 100 (12), pp. 3531-3547. John Wiley & Sons, e-ISSN 1939-019X,
DOI: 10.26083/tuprints-00022891,
[Article]

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.
10, In: SoftwareX, 2019, p. 100317. ISSN 2352-7110,
DOI: 10.1016/j.softx.2019.100317,
[Article]

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, [Conference or Workshop Item]

Räbiger, N. ; Hoffmann, M. ; Schlüter, M. ; Blazy, S. ; Bothe, D. ; Stemich, C. ; Warnecke, H.-J. (2003):
Experimental and numerical investigations of T-shaped micromixers.
pp. 269-276, VDI, [Conference or Workshop Item]

Reipschläger, O. ; Bothe, D. ; Monien, B. ; Prüss, J. ; Weigand, B. ; Warnecke, H.-J.
Lozano, A. (ed.) (2002):
Modeling and simulation of the disintegration process in ultrasonic standing wave atomizers.
In: Proc. 18th Annual Conf. Liquid Atomization and Spray Systems, pp. 449-454,
ILASS-Europe, [Conference or Workshop Item]

Reipschläger, O. ; Bothe, D. ; Broecker, H.-C. ; Monien, B. ; Prüss, J. ; Warnecke, H.-J. ; Weigand, B. ; Wielage, K.
Panreck, K. ; Dörrscheidt, F. (eds.) (2001):
Modellierung und Simulation zur Optimierung des Zerstäubungsprozesses in einem Ultraschall-Stehwellenfeld.
In: Frontiers in Simulation, ASIM Fortschrittsberichte Simulation, 15. Symposium Simulationstechnik, Paderborn 2001, pp. 563-568,
Gent, SCS Publishing House Erlangen, [Conference or Workshop Item]

S

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, Elsevier, ISSN 0017-9310,
DOI: 10.1016/j.ijheatmasstransfer.2021.121777,
[Article]

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, pp. 82-117. ISSN 00207225,
DOI: 10.1016/j.ijengsci.2019.01.001,
[Article]

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), p. 54. ISSN 2075-4442,
DOI: 10.3390/lubricants7060054,
[Article]

Steinhausen, Matthias (2018):
Numerical simulation of single rising bubbles influenced by soluble surfactant in the spherical and ellipsoidal regime.
Darmstadt, Technische Universität, [Master Thesis]

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, Birkhäuser Verlag, to appear, [Article]

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

Saal, J. (2010):
Wellposedness of the Tornado-Hurricane equations.
In: Discrete and Continuous Dynamical Systems - Series A, 26 (2), pp. 649-664. [Article]

Saal, J. ; Hieber, M. ; Hess, M. ; Mahalov, A. (2010):
Nonlinear Stability of Ekman boundary layers.
In: Bull. Lond. Math. Soc., 42 (4), pp. 691-706. [Article]

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), pp. 155-164. [Article]

Seck, O. ; Maxisch, T. ; Bothe, D. ; Warnecke, H.-J.
Guo, L. J. ; Joseph, J. J. ; Matsumoto, Y. (eds.) (2010):
Investigation of the Mixing Behavior and the Generation of Contact-Area in a Continuous Twin-Shaft Kneader.
1207, In: AIP Conf. Proc, pp. 105-112,
6th International Symposi-um on Multiphase Flow, Heat Mass Transfer and Energy Conversion , [Conference or Workshop Item]

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), pp. 343-373. [Article]

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), pp. 365-375. [Article]

Saal, J. (2007):
Existence and regularity of weak solutions for the Navier-Stokes equations with partial slip boundary conditions.
In: RIMS Kôkyûroku Bessatsu, B1, pp. 331-342. Research Institute for Mathematical Sciences, [Article]

Saal, J. (2007):
R-Boundedness, H∞-Calculus, Maximal (Lp−) Regularity and Applications to Parabolic PDE’s.
The University of Tokyo, Graduate School of Mathematical Sciences, Special Lectures Supported by GP, Tokyo, January 26 - 27, 2006, [Lecture]

Saal, J. (2006):
Stokes and Navier-Stokes equations with Robin boundary conditions in a half-space.
In: J. Math. Fluid Mech., 8, pp. 211-241. [Article]

Saal, J. (2006):
Maximal regularity for the Stokes equations in non-cylindrical space-time domains.
In: J. Math. Soc. Japan, 58 (3), pp. 617-641. [Article]

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, 2005, [Conference or Workshop Item]

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, pp. 392-397. [Article]

Schmidtke, M. ; Bothe, D. ; Warnecke, H.-J.
Kraume, M. (ed.) (2005):
Migration of single bubbles in linear shear flows.
pp. 89-100, 3rd International Berlin Workshop – IBW3 on Transport Phenomena With Moving Boundaries, TU Berlin, [Conference or Workshop Item]

Saal, J. (2003):
H1-calculus for the Stokes operator on Lq-spaces. I.
In: Evolution Equations, 79, Hokkaido University Technical Report Series in Mathematics, [Article]

T

Tolle, Tobias (2023):
An unstructured Finite-Volume Level Set / Front Tracking method for capillary flows. (Publisher's Version)
Darmstadt, Technische Universität Darmstadt,
DOI: 10.26083/tuprints-00023366,
[Ph.D. Thesis]

Tolle, T. ; Bothe, D. ; Marić, T. (2020):
SAAMPLE: A Segregated Accuracy-driven Algorithm for Multiphase Pressure-Linked Equations.
In: Computers & Fluids, 200, p. 104450. ISSN 0045-7930,
DOI: 10.1016/j.compfluid.2020.104450,
[Article]

W

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), pp. 385-392. Wiley-VCH, ISSN 0009-286X, e-ISSN 1522-2640,
DOI: 10.1002/cite.202100145,
[Article]

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, pp. 53-73. Elsevier Science, ISSN 0307-904X,
DOI: 10.1016/J.APM.2021.01.038,
[Article]

Weiner, Andre ; Gründing, Dirk ; Bothe, Dieter (2020):
Computing Mass Transfer at Deformable Bubbles for High Schmidt Numbers.
In: Chemie Ingenieur Technik, ISSN 0009-286X,
DOI: 10.1002/cite.202000214,
[Article]

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), pp. 1349-1356. ISSN 0930-7516,
DOI: 10.1002/ceat.201900044,
[Article]

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, pp. 759-773. ISSN 0017-9310,
[Article]

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, pp. 261-289. DOI: 10.1016/j.jcp.2017.06.040,
[Article]

Weber, Paul S. ; Bothe, Dieter (2016):
Applicability of the Linearized Theory of the Maxwell-Stefan Equations.
In: Aiche Journal, 62 (8), pp. 2929-2946. ISSN 0001-1541,
[Article]

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), pp. 184-204. [Article]

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, pp. 251-258. [Article]