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Einträge mit Organisationseinheit "04 Fachbereich Mathematik > Mathematical Modelling and Analysis"

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Anzahl der Einträge auf dieser Ebene: 169.

A

Albert, C. ; Kromer, Johannes ; Robertson, A. M. ; Bothe, D. :
Dynamic behaviour of buoyant high viscosity droplets rising in a quiescent liquid.
In: Journal of Fluid Mech., 778 pp. 485-533.
[Artikel], (2015)

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

Albert, C. ; Marschall, H. ; Bothe, D. :
Direct numerical simulation of interfacial mass transfer into falling films.
In: Int. J. Heat and Mass transfer (69) pp. 343-357.
[Artikel], (2014)

Albert, C. ; Bothe, D. :
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.
[Artikel], (2012)

Alke, A. ; Bothe, D. ; Kröger, M. ; Weigand, B. ; Weirich, Dominik ; Weking, H.
Sommerfeld, M. ; Simonin, O. (eds.) :

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 pp. 5-10.
[Artikel], (2010)

Alke, A. ; Bothe, D. :
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.
[Artikel], (2009)

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

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

Alke, A. ; Bothe, D.
Kraume, M. (ed.) :

A VOF-based method for the simulation of fluid-liquid-interfaces influenced by surfactants.
In: 3rd International Berlin Workshop – IBW3 on Transport Phenomena With Moving Boundaries, TU Berlin.
[Konferenz- oder Workshop-Beitrag], (2005)

B

Bothe, D. ; Köhne, M. ; Maier, S. ; Saal, J. :
Global strong solutions for a class of heterogeneous catalysis models.
In: Journal of Mathematical Analysis and Applications (445) pp. 677-709. ISSN 0022-247X
[Artikel], (2017)

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

Bothe, D. ; Prüss, J.
Aman, H. ; Giga, Y. ; Kozono, H. ; Okamoto, H. ; Yamazaki, M. (eds.) :

On the interface formation model for dynamic triple lines.
[Online-Edition: arXiv:1504.04758]
In: Recent Developments of Mathematical Fluid Mechanics. Springer , pp. 25-47.
[Buchkapitel], (2016)

Bothe, D. ; Rolland, G. :
Global Existence for a Class of Reaction-Diffusion Systems with Mass Action Kinetics and Concentration-Dependent Diffusivities.
In: Acta Applicandae Mathematicae (139) pp. 25-57.
[Artikel], (2015)

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

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

Bothe, D. ; Fischer, A. ; Pierre, M. ; Rolland, G. :
Global existence for diffusion-electromigration systems in space dimension three and higher.
In: Nonlinear Analysis A: Theory Methods and Applications (99) pp. 152-166.
[Artikel], (2014)

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

Bothe, D. ; Fleckenstein, S. :
A Volume-of-Fluid-based method for mass transfer processes at fluid particles.
In: Chemical Engineering Science, 101 pp. 283-302. ISSN 00092509
[Artikel], (2013)

Bothe, D. ; Köhne, M. ; Prüss, J. :
Energy preserving boundary conditions for the Navier-Stokes system.
In: SIAM J. Math. Anal. (to appear)
[Artikel], (2013)

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

Bothe, D. ; Fleckenstein, S. :
Simplified modeling of the influence of surfactants on the rise of bubbles in VOF-Simulations.
In: Chem. Eng. Science (102) pp. 514-523.
[Artikel], (2013)

Bothe, D. ; Köhne, M. ; Prüss, J. :
On a Class of Energy Preserving Boundary Conditions for Incompressible Newtonian Flows.
In: SIAM J. Math. Anal. (45) pp. 3768-3822.
[Artikel], (2013)

Bothe, D. ; Pierre, M. :
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.
[Artikel], (2012)

Bothe, D. :
Mathematical Modeling and Direct Numerical Simulation of Transport Processes at Fluidic Interfaces.
In: 1st Int. Symposium on Multiscale Multiphase Process Engineering, Oktober 2011, Kanazawa, Japan.
[Konferenz- oder Workshop-Beitrag], (2012)

Bothe, D. ; Wittbold, P. :
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.
[Artikel], (2012)

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

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

Bothe, D. ; Lojewski, A. ; Warnecke, H.-J. :
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.
[Artikel], (2011)

Bothe, D.
Escher, J. (ed.) :

On the Maxwell-Stefan approach to multicomponent diffusion.
Progress in Nonlinear Differential Equations and their Applications Springer , Basel
[Konferenz- oder Workshop-Beitrag], (2011)

Bothe, D. ; Kröger, M. ; Warnecke, H.-J. :
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.
[Artikel], (2011)

Bothe, D. ; Prüss, J. :
Stability of equilibria for two-phase flows with soluble surfactant.
In: The Quarterly Journal of Mechanics & Applied Mathematics, 63 (2) pp. 177-199.
[Artikel], (2010)

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

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

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

Bothe, D.
Bockhorn, H. ; Warnecke, H.-J. ; Peukert, W. ; Mewes, D. (eds.) :

Evaluating the quality of a mixture: degree of homogeneity and scale of segregation.
In: Heat and Mass Transfer. Micro and Macro Mixing – Analysis, Simulation and Numerical Calculation. Springer , pp. 17-35.
[Buchkapitel], (2010)

Bothe, D. ; Lojewski, A. ; Warnecke, H.-J.
Bockhorn, H. ; Mewes, D. ; Peukert, W. ; Warnecke, H.-J. (eds.) :

Computational Analysis of Reactive Mixing in T-microreactors.
In: Micro and Macro Mixing – Analysis, Simulation and Numerical Calculation. Heat and Mass Transfer. Springer , pp. 265-286.
[Buchkapitel], (2010)

Bothe, D. ; Kröger, M. ; Alke, A. ; Warnecke, H.-J.
Mammoli, A. A. ; Brebbia, C. A. (eds.) :

VOF-based simulation of conjugate mass transfer from freely moving fluid particles.
In: Computational Methods in Multiphase Flow V pp. 157-168.
[Artikel], (2009)

Bothe, D. ; Kröger, M. ; Alke, A. ; Warnecke, H.-J. :
VOF-based simulation of reactive mass transfer across deformable interfaces.
In: Progress in computational fluid dynamics PCFD, 9 (6/7) pp. 325-331.
[Artikel], (2009)

Bothe, D.
Dietrich, T. (ed.) :

Microfluidic Modules: Calculations and Simulations.
In: Microchemical Engineering in Practice. Jon Wiley & Sons
[Buchkapitel], (2009)

Bothe, D. ; Alke, A. :
Direct Numerical Simulation of Bubble Dynamics and Transfer Processes in Pure and Contaminated Systems.
In: 6th Int. Conf. on Computational Fluid Dynamics in the Oil & Gas, Metallurgical and Process Industries, Trondheim/Norway.
[Konferenz- oder Workshop-Beitrag], (2008)

Bothe, D. ; Stemich, C. ; Warnecke, H.-J. :
Computation of Scales and Quality of mixing in a T-shaped microreactor.
In: Comp. & Chem. Eng., 32 pp. 108-114.
[Artikel], (2008)

Bothe, D. :
Perturbed nonlinear evolutions under time-dependent constraints.
In: Evolution Equations – The State of the Art, Universität Ulm. In: Ulmer Seminare 2008 .
[Konferenz- oder Workshop-Beitrag], (2008)

Bothe, D. ; Kröger, M. ; Alke, A. ; Warnecke, H.-J. :
VOF-Based Simulation of Reactive Mass Transfer across Deformable Interfaces.
In: 6th International Conference on CFD in Oil&Gas, Metallurgical and Process Industries, 10.-12. June 2008, Trondheim, Norway.
[Konferenz- oder Workshop-Beitrag], (2008)

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

Bothe, D. ; Shirzadi, H. ; Warnecke, H.-J. :
Evaluations of Euler-Euler Simulations of Bubble Columns by Numerical Tracer Experiments.
In: Trans. IChemE Part A, 85 pp. 1-6.
[Artikel], (2007)

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

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

Bothe, D. ; Schmidtke, M. ; Warnecke, H.-J. :
VOF-Simulation of the lift force for single bubbles in a simple shear flow.
In: Chem. Eng. Tech., 29 (9) pp. 1048-1053.
[Artikel], (2006)

Bothe, D. ; Steinkemper, A. ; Warnecke, H.-J. :
Modeling the dehydration of tert-butyl alcohol and avoidance of the formation of oligomers.
In: Ind. Eng. Chem. Res., 45 pp. 2986-2993.
[Artikel], (2006)

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

Bothe, D. ; Stemich, C. ; Warnecke, H.-J.
Marquardt, W. ; Pantelidis, C. (eds.) :

Mixing in a T-shaped microreactor: scales and quality of mixing.
16th European Symposium on Computer Aided Process Engineering and 9th International Symposium on Process Systems Engineering Elsevier , Garmisch-Partenkirchen (Germany)
[Konferenz- oder Workshop-Beitrag], (2006)

Bothe, D. ; Prüss, J. ; Simonett, G.
Chipot, M. ; Escher, J. (eds.) :

Well-posedness of a two-phase flow with soluble surfactant.
Nonlinear Elliptic and Parabolic Problems Birkhäuser
[Konferenz- oder Workshop-Beitrag], (2005)

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

Bothe, D.
Sommerfeld, M. (ed.) :

VOF-simulations of fluid particle dynamics.
In: Proc. 11th Workshop on Two-Phase Flow Predictions, Merseburg.
[Konferenz- oder Workshop-Beitrag], (2005)

Bothe, D. ; Warnecke, H.-J.
Boyadjiev, C. ; Hristov, J. (eds.) :

VOF-simulation of rising air bubbles with mass transfer to the ambient liquid.
In: 11th Workshop on Transport Phenomena in Two-Phase Flow. Slanchev Bryag, Bulgaria
[Konferenz- oder Workshop-Beitrag], (2005)

Bothe, D. ; Stemich, C. ; Warnecke, H.-J. :
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.
[Artikel], (2004)

Bothe, D. ; Koebe, M. ; Wielage, K. ; Prüss, J. ; Warnecke, H.-J.
Sommerfeld, M. (ed.) :

Direct numerical simulation of mass transfer between rising gas bubbles and water.
In: Bubbly Flows: Analysis, Modelling and Calculation , Heat and Mass Transfer. Springer , pp. 159-174. ISBN 3-540-40791-x
[Buchkapitel], (2004)

Bothe, D. ; Koebe, M. ; Warnecke, H.-J.
Schindler, F.-P. (ed.) :

VOF-simulation of the rise behavior of single air bubbles with oxygen transfer to the ambient liquid.
Proc. 2nd International Berlin Workshop – IBW2 on Transport Phenomena with Moving Boundaries VDI Verlag , Düsseldorf
[Konferenz- oder Workshop-Beitrag], (2004)

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

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

Bothe, D. ; Koebe, M. ; Wielage, K. :
VOF-Simulations of Mass Transfer from single Bubbles and Bubble Chains rising in Aqueous Solutions.
In: FEDSM2003-45154 in Proc. 2003 ASME Joint U.S.-European Fluids Eng. Conf.
[Konferenz- oder Workshop-Beitrag], (2003)

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

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

Bothe, D. ; Gerigk, U. ; Warnecke, H.-J.
The Society of Chemical Engineers (ed.) :

Hydrodynamic macro-mixing in two-phase bubble columns – Euler-Euler simulations validated by integral measurement techniques.
The Society of Chemical Engineers (.) In: 6th Japanese/German Symposium on Bubble Columns. Japan
[Konferenz- oder Workshop-Beitrag], (2003)

Bothe, D. ; Jakobs, D. ; Warnecke, H.-J. :
The effect of adjacent layers like biofilms on mass transport through nanofiltration membranes.
In: Eng. Life Sci., 2 (10) pp. 295-298.
[Artikel], (2002)

Bothe, D. ; Prüss, J.
Bemelmans, J. ; Brighi, B. ; Brillard, A. ; Chipot, M. ; Conrad, F. ; Shafrir, I. ; Valente, V ; Vergara-Caffarelli, G. (eds.) :

Mass transport through charged membranes.
Proc. 4th European Conf. on Elliptic and Parabolic Problems World Sci. Publ.
[Konferenz- oder Workshop-Beitrag], (2002)

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

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

Bothe, D. ; Waatsack, T. ; Warnecke, H.-J. :
Kinetic modeling of simultaneous phosphate precipitation in municipal sewage treatment plants.
In: Chem. and Eng. Tech. (23) pp. 670-674.
[Artikel], (2000)

Bothe, D.
Lumer, G. ; Weis, L. (eds.) :

The instantaneous limit of a reaction-diffusion system Evolution Equations and Their Applications in Physical and Life Sciences.
Physical and Lect. Notes Pure Appl. Math.
[Konferenz- oder Workshop-Beitrag], (2000)

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

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

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

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

Bothe, D. :
Reaction-diffusion systems with discontinuities. A viability approach.
Proc. of the 2nd World Congress of Nonlinear Analysis, Nonlin. Anal.
[Konferenz- oder Workshop-Beitrag], (1997)

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

Bothe, D.
Lakshmikantham, V. (ed.) :

Multivalued differential equations with time-dependent constraints.
Proc. of the First World Congress of Nonlinear Analysis
[Konferenz- oder Workshop-Beitrag], (1996)

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

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

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

C

Chen, X. ; Focke, C. ; Marschall, H. ; Bothe, D.
Fritsching, Udo (ed.) :

Investigation of Elementary Processes of Non-Newtonian Droplets Inside Spray Processes by Means of Direct Numerical Simulation.
In: Process-Spray. Springer , pp. 3-51. ISBN 978-3-319-32368-8
[Buchkapitel], (2016)

Chen, X. ; Schäfer, M. ; Bothe, D. :
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. ISSN 0889-9746
[Artikel], (2015)

Chen, X. ; Schaefer, M. ; Bothe, D. :
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. ISSN 0889-9746
[Artikel], (2015)

Chen, Xingyuan :
Numerical Modeling of Fluid-Structure Interaction with Rheologically Complex Fluids.
[Online-Edition: http://tuprints.ulb.tu-darmstadt.de/4216]
TU Darmstadt
[Dissertation], (2014)

Chen, X. ; Marschall, H. ; Schäfer, M. ; Bothe, D. :
A comparison of different methods for viscoelastic flow simulation.
In: J. of Comp. Fluid Dynamics (27) pp. 229-250.
[Artikel], (2013)

Chen, Xingyuan ; Marschall, Holger ; Schäfer, Michael ; Bothe, Dieter :
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.
[Artikel], (2013)

D

Deising, D. ; Marschall, H. ; Bothe, D. :
A unified single-field model framework for Volume-Of-Fluid simulations of interfacial species transfer applied to bubbly flows.
[Online-Edition: http://dx.doi.org/10.1016/j.ces.2015.06.021]
In: Chemical Engineering Science, 139 pp. 173-195. ISSN 0009-2509
[Artikel], (2016)

Dieter-Kissling, K. ; Marschall, H. ; Bothe, D. :
Direct Numerical Simulation of droplet formation processes under the influence of soluble surfactant mixtures.
In: Computers & Fluids (113) pp. 93-105. ISSN 0045-7930
[Artikel], (2015)

Dieter-Kissling, K. ; Marschall, H. ; Bothe, D. :
Numerical method for coupled interfacial surfactant transport on dynamic surface meshes of general topology.
In: Computers & Fluids (109) pp. 168-184.
[Artikel], (2015)

Dieter-Kissling, K. ; Karabaschi, M. ; Marschall, H. ; Javadi, A. ; Miller, R. ; Bothe, D. :
On the Applicability of Drop Profile Analysis Tensiometry at High Flow Rates Using an Interface Tracking Method.
In: Colloids Surfaces A, 44 pp. 837-845.
[Artikel], (2014)

Dieter-Kissling, K. ; Marschall, H. ; Bothe, D. :
An Object Oriented Model Library for Surfactant Sorption Processes in the Interface-Tracking Framework of OpenFOAM.
In: Euromech Colloquium 555, Bordeaux, France.
[Konferenz- oder Workshop-Beitrag], (2013)

Dieter-Kissling, K. ; Marschall, H. ; Bothe, D. :
Direct Numerical Simulation of droplet formation processes under the influence of multiple surfactants.
In: ICMF2013, Jeju, Korea.
[Konferenz- oder Workshop-Beitrag], (2013)

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

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

F

Falconi, C. ; Lehrenfeld, C. ; Marschall, H. ; Meyer, C. ; Abiev, R. ; Bothe, D. ; Reusken, A. ; Schlüter, M. ; Wörner, M. :
Numerical and experimental analysis of local flow phenomena in laminar Taylor flow in a square mini-channel.
In: Physics of Fluids, 28 012109. ISSN 1070-6631
[Artikel], (2016)

Fath, A. ; Bothe, D. :
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 03019322
[Artikel], (2015)

Fath, Anja ; Horn, T. ; Gambaryan-Roisman, Tatiana ; Stephan, Peter ; Bothe, D. :
Numerical and experimental analysis of short-scale Marangoni convection on heated structured surfaces.
[Online-Edition: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2015.03.034]
In: International Journal of Heat and Mass Transfer, 86 pp. 764-779.
[Artikel], (2015)

Fleckenstein, Stefan ; Bothe, Dieter :
A Volume-of-Fluid-based numerical method for multi-component mass transfer with local volume changes.
[Online-Edition: http://dx.doi.org/10.1016/j.jcp.2015.08.011]
In: Journal of Computational Physics, 301 pp. 35-58. ISSN 0021-9991
[Artikel], (2015)

Fleckenstein, Stefan :
Modeling and direct numerical simulation of mass transfer from rising gas bubbles.
Shaker , Aachen
[Dissertation]

Focke, Christian :
Direkte Numerische Simulation binärer Kollisionen newtonscher und nichtnewtonscher Tropfen.
[Online-Edition: http://tuprints.ulb.tu-darmstadt.de/3668]
TU Darmstadt , Darmstadt
[Dissertation], (2013)

Focke, Christian ; Marschall, H. ; Bothe, D. :
Investigations of elementary spray processes by means of Direct Numerical Simulations: Interaction of viscous and non-Newtonian droplets.
In: ICMF 2013, Jeju, Korea.
[Konferenz- oder Workshop-Beitrag], (2013)

Focke, Christian ; Kuschel, M. ; Sommerfeld, M. ; Bothe, D. :
Computational and Experimental Analysis of Binary Collisions of Non-Isoviscous Liquid Droplets.
In: Int. J. Multiphase Flow (56) pp. 81-92.
[Artikel], (2013)

Focke, Christian ; Bothe, D. ; Kuschel, M. ; Sommerfeld, M. :
Experiments and Direct Numerical Simulations of binary collisions of miscible liquid droplets with different viscosities.
In: 12th Triennial Int. Conf. on Liquid Atomization and Spray Systems (ICLASS2012), Heidelberg, Germany.
[Konferenz- oder Workshop-Beitrag], (2012)

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

Focke, Christian ; Bothe, D. :
Computational analysis of binary collision of non-isoviscous liquid droplets.
In: SPRAY 2012, Berlin.
[Konferenz- oder Workshop-Beitrag], (2012)

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

Focke, Christian ; Bothe, D. :
Direkte Numerische Simulation binärer Kollisionen scherverdünnender Tropfen.
In: Chemie Ingenieur Technik, 84 (1/2) pp. 1-7.
[Artikel], (2012)

Focke, Christian ; Bothe, D. :
Towards a computational analysis of binary collisions of shear-thinning droplets.
In: ILASS – Europe 2011, 24th European Conference on Liquid Atomization and Spray Systems, September 2011, Estoril, Portugal.
[Konferenz- oder Workshop-Beitrag], (2011)

Fleckenstein, S. ; Bothe, D. :
Modeling and 3D simulation of Physical mass transfer at single rising gas bubbles for moderate Schmidt numbers.
In: 8th International Conference on CFD in Oil & Gas, Metallurgical and Process Industries SINTEF/NTNU, 21-23. June 2011, Trondheim NORWAY.
[Konferenz- oder Workshop-Beitrag], (2011)

Focke, Christian ; Bothe, D. :
Towards a computational analysis of binary collisions of shear-thinning droplets.
In: 8th International Conference on CFD in Oil & Gas, Metallurgical and Process Industries, 21.-23. June 2011, Trondheim Norway. In: CFD11-158 .
[Konferenz- oder Workshop-Beitrag], (2011)

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

Focke, Christian ; Bothe, D. :
Computational analysis of binary collisions of shear-thinning droplets.
In: J. Non-Newtonian Fluid Mech., 166 pp. 799-810.
[Artikel], (2011)

G

Gründing, D. ; Bothe, D. :
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.
[Artikel], (2016)

Giga, Y. ; Inui, K. ; Mahalov, A. ; Saal, J. :
Uniform global solvability of the Navier-Stokes equations for nondecaying initial data.
In: Indiana Univ. Math. J., 57 (6) pp. 2775-2792.
[Artikel], (2008)

Giga, Y. ; Inui, K. ; Mahalov, A. ; Saal, J. :
Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets.
In: Adv. Differ. Equ., 12 (7) pp. 721-736.
[Artikel], (2007)

Giga, Y. ; Inui, K. ; Matsui, S. ; Mahalov, A. ; Saal, J. :
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.
[Artikel], (2007)

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

H

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

K

Kissling, K. ; Marschall, H. ; Bothe, D.
Schindler, F.-P. (ed.) :

Direct Numerical Simulation of Multicomponent Surfactant Transport on Fluid Interfaces.
In: 6th International Berlin Workshop – IBW6 on Transport Phenomena with Moving Boundaries, September, 2011. In: VDI Reihe 3 , 929 .
[Konferenz- oder Workshop-Beitrag], (2012)

Kück, U. D. ; Kröger, M. ; Schlüter, M. ; Räbiger, N. ; Bothe, D. ; Warnecke, H.-J. :
Skalenübergreifende Transportprozesse bei Gas –Flüssig Reaktionen.
In: Chemie und Ingenieurtechnik, 83 (7) pp. 1084-1095.
[Artikel], (2011)

Köhne, M. ; Prüss, J ; Wilke, M. :
On quasilinear parabolic evolution equations in Weighted L p-spaces.
In: J. Evol. Equ., 10 pp. 443-463.
[Artikel], (2010)

Kröger, M. ; Bothe, D. ; Warnecke, H.-J. :
A VOF-based conservative method for the simulation of reactive mass transfer from rising bubbles.
In: 7th International Conference on Multiphase Flow, ICMF 2010, 2010, Tampa/Florida.
[Konferenz- oder Workshop-Beitrag], (2010)

Kröger, M. ; Alke, A. ; Bothe, D. ; Warnecke, H.-J.
Schindler, F.-P. (ed.) :

A VOF-based approach for the simulation of reactive mass transfer from rising bubbles.
In: 4thInternational Berlin Workshop – IBW4 on Transport Phenomena with Moving Boundaries, TU Berlin.
[Konferenz- oder Workshop-Beitrag], (2007)

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

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

Koschut, G. ; Bothe, D. ; Prüss, J. ; Warnecke, H.-J. :
Instationary shrinking-core models for heterogeneous ionic reactions.
In: Chem. and Eng. Tech., 24 (8) pp. 809-814.
[Artikel], (2001)

L

Lippert, Anja Charlotte :
Direct Numerical Simulations of Thermocapillary Driven Motions in Two-phase Flows.
[Online-Edition: http://tuprints.ulb.tu-darmstadt.de/5817]
Technische Universität , Darmstadt
[Dissertation], (2016)

Liu, M. ; Bothe, D. :
Numerical study of head-on droplet collisions at high Weber numbers.
[Online-Edition: http://dx.doi.org/10.1017/jfm.2015.725]
In: Journal of Fluid Mechanics, 789 pp. 785-805. ISSN 0022-1120
[Artikel], (2016)

M

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

Marschall, H. ; Boden, S. ; Lehrenfeld, C. ; Falconi Delgado, C. J. ; Wörner, M. ; Reusken, A. ; Bothe, D. :
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.
[Artikel], (2014)

Maric, Tomislav ; Marschall, H. ; Bothe, D. :
An Object Oriented Validation Library for Two-Phase DNS Algorithms.
In: Euromech Colloquium 555, Bordeaux, France.
[Konferenz- oder Workshop-Beitrag], (2013)

Maric, Tomislav ; Marschall, H. ; Bothe, D. :
On Adaptive Mesh Refinement for a 3D Geometrical Volume of Fluid Transport Algorithm on Unstructured Meshes using OpenFOAM.
In: ICMF 2013, Jeju, Korea.
[Konferenz- oder Workshop-Beitrag], (2013)

Ma, C. ; Bothe, D. :
Numerical modeling of thermocapillary two-phase flows using a two-scalar approach for heat transfer.
In: J. Comp. Physics (233) pp. 552-573.
[Artikel], (2013)

Ma, C. ; Bothe, D. :
Direct Numerical Simulation of Thermocapillary Flow Based on the Volume of Fluid Method.
In: International Journal of Multiphase Flow, 37 (9) pp. 1045-1058.
[Artikel], (2011)

Marschall, H. ; Hinrichsen, O. :
Numerical Simulation of Multiscale Two-Phase Flows using a Hybrid Interface-Resolving Two-Fluid Model (HIRES-TFM).
In: 1st International Symposium on Multiscale Multiphase Process Engineering (MMPE), Kanazawa, Japan.
[Konferenz- oder Workshop-Beitrag], (2011)

Motzigemba, M. ; Roth, N. ; Bothe, D. ; Warnecke, H.-J. ; Prüss, J. ; Wielage, K. ; Weigand, B.
Lozano, A. (ed.) :

The Effect of Non-Newtonian Flow Behaviour on Binary Droplet Collisions: VOF-Simulation and Experimental Analysis.
Proc. 18th Annual Conf. Liquid Atomization and Spray Systems ILASS-Europe
[Konferenz- oder Workshop-Beitrag], (2002)

Motzigemba, M. ; Bothe, D. ; Broecker, H.-C. ; Prüss, J. ; Warnecke, H.-J.
van den Akker, H. E. A. ; Derksen, J . J. (eds.) :

A contribution to simulation of mixing in screw extruders employing commercial CFD-software in.
Proc. 10th European Conf. on Mixing Elsevier , Delft
[Konferenz- oder Workshop-Beitrag], (2000)

N

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

P

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

Prüss, J. ; Saal, J. ; Simonett, G. :
Analytic solutions for the classical two-phase Stefan problem.
In: Proceedings of Equadiff-11, International Conference on Differential Equations 2005 pp. 415-425.
[Artikel], (2007)

R

Roth, N. ; Mercadé, C. ; Gomaa, H. ; Focke, Christian ; Bothe, D. ; Roisman, Ilia V. ; Weigand, B. :
Collision of Droplets: Experimental, Analytical and Numerical Approach.
In: ILASS 2013, Chania Crete.
[Konferenz- oder Workshop-Beitrag], (2013)

Räbiger, N. ; Hoffmann, M. ; Schlüter, M. ; Blazy, S. ; Bothe, D. ; Stemich, C. ; Warnecke, H.-J. :
Experimental and numerical investigations of T-shaped micromixers.
In: Proc. 11th European Conf. on Mixing VDI
[Konferenz- oder Workshop-Beitrag], (2003)

Reipschläger, O. ; Bothe, D. ; Monien, B. ; Prüss, J. ; Weigand, B. ; Warnecke, H.-J.
Lozano, A. (ed.) :

Modeling and simulation of the disintegration process in ultrasonic standing wave atomizers.
Proc. 18th Annual Conf. Liquid Atomization and Spray Systems ILASS-Europe
[Konferenz- oder Workshop-Beitrag], (2002)

Reipschläger, O. ; Bothe, D. ; Broecker, H.-C. ; Monien, B. ; Prüss, J. ; Warnecke, H.-J. ; Weigand, B. ; Wielage, K.
Panreck, K. ; Dörrscheidt, F. (eds.) :

Modellierung und Simulation zur Optimierung des Zerstäubungsprozesses in einem Ultraschall-Stehwellenfeld.
Frontiers in Simulation, ASIM Fortschrittsberichte Simulation, 15. Symposium Simulationstechnik, Paderborn 2001 SCS Publishing House Erlangen , Gent
[Konferenz- oder Workshop-Beitrag], (2001)

S

Schlottke, J. ; Rauschenberger, P. ; Weigand, B. ; Ma, C. ; Bothe, D. :
Volume of Fluid Direct Numerical Simulation of Heat and Mass Transfer using Sharp Temperature and Concentration Fields.
In: ILASS – Europe 2011, 24th European Conference on Liquid Atomization and Spray Systems, September 2011, Estoril, Portugal.
[Konferenz- oder Workshop-Beitrag], (2011)

Saal, J. ; Nau, T. :
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], (2011)

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

Saal, J. ; Denk, R. ; Geißert, M. ; Sawada, O. :
The spin-coating process: Analysis of the free boundary value problem.
In: Commun. Partial Differ. Equations, to appear
[Artikel], (2011)

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

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

Seck, O. ; Maxisch, T. ; Bothe, D. ; Warnecke, H.-J. :
Investigation of the Mixing and Devolatilization Behavior in a Continuous Twin-Shaft Kneader.
In: Macromolecular Symposia, 289 (1) pp. 155-164.
[Artikel], (2010)

Seck, O. ; Maxisch, T. ; Bothe, D. ; Warnecke, H.-J.
Guo, L. J. ; Joseph, J. J. ; Matsumoto, Y. (eds.) :

Investigation of the Mixing Behavior and the Generation of Contact-Area in a Continuous Twin-Shaft Kneader.
In: 6th International Symposi-um on Multiphase Flow, Heat Mass Transfer and Energy Conversion . AIP Conf. Proc
[Konferenz- oder Workshop-Beitrag], (2010)

Saal, J. :
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.
[Artikel], (2007)

Saal, J. :
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.
[Artikel], (2007)

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

Saal, J. :
R-Boundedness, HL^\infty-calculus, Maximal (Lp-) Regularity and Applications to Parabolic PDE’s.
The University of Tokyo, Graduate School of Mathematical Sciences
[Vorlesung, Seminar], (2007)

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

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

Schmidtke, M. ; Bothe, D. ; Warnecke, H.-J. :
Migration of single bubbles in linear shear flow.
In: 3rd International Berlin Worshop - IBW3 onn Transport Phenomena with moving Boundaries, 2005, Berlin.
[Konferenz- oder Workshop-Beitrag], (2006)

Saal, J.
Durmortier, F. ; Broer, H. ; Mahwin, J. ; Vanderbauwehde, A. ; Lunel, S. V. (eds.) :

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.
[Artikel], (2005)

Schmidtke, M. ; Bothe, D. ; Warnecke, H.-J.
Kraume, M. (ed.) :

Migration of single bubbles in linear shear flows.
In: 3rd International Berlin Workshop – IBW3 on Transport Phenomena With Moving Boundaries, TU Berlin.
[Konferenz- oder Workshop-Beitrag], (2005)

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

W

Weber, P. ; Marschall, H. ; Bothe, D. :
Highly accurate two-phase species transport using an ALE interface tracking method.
In: International Journal of Heat and Mass Transfer (104) pp. 759-773. ISSN 00179310
[Artikel], (2017)

Weber, P. ; Silge, S. ; Marschall, H. ; Bothe, D. :
An implicit second-order region coupling method for discontinuous values and transport coefficients.
In: 11th OpenFOAM Workshop, Guimaraes, Portugal.
[Konferenz- oder Workshop-Beitrag], (2016)

Weber, Paul ; Bothe, D. :
Applicability of the Linearized Theory of the Maxwell-Stefan Equations.
In: AIChE Journal ISSN 1547-5905
[Artikel], (2016)

Weber, P. ; Marschall, H. ; Bothe, D. :
Eine Interface Tracking Methode für Stofftransport an einer aufsteigenden Blase.
In: Jahrestreffen der ProcessNet-Fachgruppe Computational Fluid Dynamics.
[Konferenz- oder Workshop-Beitrag], (2016)

Weber, P. ; Marschall, H. ; Bothe, D. :
An ALE Interface Tracking Method for Species Transfer of Rising Bubbles.
In: 13th Multiphase Flow Conference, Dresden.
[Konferenz- oder Workshop-Beitrag], (2015)

Weirich, Dominik ; Köhne, M. ; Bothe, D. :
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.
[Artikel], (2014)

Warnecke, H.-J. ; Bothe, D. ; Berth, G. ; Hüsch, K.-P. ; Zrenner, A. :
Modellbasierte Bestimmung lokal gültiger Kinetiken chemischer Reaktionen in Flüssigphase mittels Flachbettmikroreaktor.
In: Chem. Ing. Tech., 82 pp. 251-258.
[Artikel], (2010)

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