Edit Profile (opens in new tab) Bothe, Dieter Co-Author Distance Author ID: bothe.dieter Published as: Bothe, Dieter; Bothe, D.; Bothe, Diether more...less Homepage: https://www.mma.tu-darmstadt.de/index/mitarbeiter_3/mitarbeiter_details_mma_4307... External Links: ORCID Documents Indexed: 86 Publications since 1991, including 1 Book and 9 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 70 Co-Authors with 70 Joint Publications 1,059 Co-Co-Authors all top 5 Co-Authors 18 single-authored 13 Marschall, Holger 10 Marić, Tomislav 10 Prüß, Jan Wilhelm 6 Fricke, Mathis 6 Köhne, Matthias 6 Kromer, Johannes 5 Pierre, Michel 4 Druet, Pierre-Étienne 4 Rolland, Guillaume 3 Augner, Björn 3 Niethammer, Matthias 3 Tolle, Tobias 2 Brenn, Günter 2 Chen, Xingyuan 2 Deising, D. 2 Dieter-Kissling, Kathrin 2 Dreyer, Wolfgang 2 Gründing, Dirk 2 Pesci, Chiara 2 Reusken, Arnold 2 Saal, Jürgen 2 Schäfer, Michael 2 Simonett, Gieri 2 Soga, Kohei 2 Weiner, Andre 1 Abiev, Rufat 1 Acher, T. 1 Antritter, T. 1 Asghar, Muhammad Hassan 1 Chen, Hao 1 De Coninck, Joël 1 Denk, Robert 1 Falconi, Carlos J. 1 Fleckenstein, Stefan 1 Focke, Christian 1 Hieber, Matthias 1 Hilhorst, Danielle 1 Kairaliyeva, Talmira 1 Kashiwabara, Takahito 1 Kothe, Douglas B. 1 Kummer, Florian 1 Lehrenfeld, Christoph 1 Leotta, Fabio 1 Liu, Muyuan 1 Maier, Siegfried 1 Málek, Josef 1 Miller, Reinhard 1 Orava, Vít 1 Ouro-Koura, El Assad 1 Pilz, Christian 1 Potyka, Johanna 1 Raju, Suraj 1 Rettenmaier, D. 1 Robertson, Anne M. 1 Roisman, Ilia V. 1 Schnaubelt, Roland 1 Schulte, Kathrin 1 Smuda, Martin 1 Souček, Ondřej 1 Stephan, Peter 1 Tezuka, Akira 1 Ulaganathan, Vamseekrishna 1 von Klitzing, Regine 1 Vučković, Aleksandar 1 Weirich, David E. 1 Wilke, Mathias 1 Wittbold, Petra 1 Wörner, Martin 1 Yang, Yiren 1 Zacher, Rico all top 5 Serials 12 Journal of Computational Physics 7 Computers and Fluids 7 Journal of Evolution Equations 3 International Journal of Engineering Science 3 Journal of Fluid Mechanics 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Mathematical Analysis 3 Discrete and Continuous Dynamical Systems. Series S 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Physica D 2 Differential and Integral Equations 2 Communications in Partial Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications 1 Acta Mechanica 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Israel Journal of Mathematics 1 Nonlinearity 1 Quarterly Journal of Mechanics and Applied Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Differential Equations 1 Acta Applicandae Mathematicae 1 Applied Mathematical Modelling 1 Journal of Non-Newtonian Fluid Mechanics 1 International Journal of Computational Fluid Dynamics 1 Abstract and Applied Analysis 1 Journal of Mathematical Fluid Mechanics 1 Communications on Pure and Applied Analysis 1 Advances in Mathematical Fluid Mechanics all top 5 Fields 52 Fluid mechanics (76-XX) 36 Partial differential equations (35-XX) 12 Ordinary differential equations (34-XX) 12 Numerical analysis (65-XX) 10 Biology and other natural sciences (92-XX) 9 Operator theory (47-XX) 9 Classical thermodynamics, heat transfer (80-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 71 Publications have been cited 829 times in 585 Documents Cited by ▼ Year ▼ Multivalued perturbations of \(m\)-accretive differential inclusions. Zbl 0922.47048 Bothe, Dieter 160 1998 \(L_p\)-theory for a class of non-Newtonian fluids. Zbl 1172.35052 Bothe, Dieter; Prüss, Jan 54 2007 On the Maxwell-Stefan approach to multicomponent diffusion. Zbl 1250.35127 Bothe, Dieter 52 2011 Continuum thermodynamics of chemically reacting fluid mixtures. Zbl 1317.76082 Bothe, Dieter; Dreyer, Wolfgang 51 2015 A reaction-diffusion system with fast reversible reaction. Zbl 1039.35013 Bothe, D.; Hilhorst, D. 37 2003 Global well-posedness and stability of electrokinetic flows. Zbl 1354.76064 Bothe, Dieter; Fischer, André; Saal, Jürgen 33 2014 Quasi-steady-state approximation for a reaction-diffusion system with fast intermediate. Zbl 1191.35149 Bothe, Dieter; Pierre, Michel 25 2010 Unstructured un-split geometrical volume-of-fluid methods - a review. Zbl 07506620 Marić, Tomislav; Kothe, Douglas B.; Bothe, Dieter 25 2020 Well-posedness of a two-phase flow with soluble surfactant. Zbl 1095.35022 Bothe, Dieter; Prüss, Jan; Simonett, Gieri 21 2005 Flow invariance for perturbed nonlinear evolution equations. Zbl 0954.34054 Bothe, Dieter 17 1996 Multivalued differential equations on graphs. Zbl 0759.34011 Bothe, Dieter 16 1992 On a class of energy preserving boundary conditions for incompressible Newtonian flows. Zbl 1286.35191 Bothe, Dieter; Köhne, Matthias; Prüss, Jan 16 2013 Cross-diffusion limit for a reaction-diffusion system with fast reversible reaction. Zbl 1263.35130 Bothe, Dieter; Pierre, Michel; Rolland, Guillaume 16 2012 On the two-phase Navier-Stokes equations with Boussinesq-Scriven surface fluid. Zbl 1261.35100 Bothe, Dieter; Prüss, Jan 16 2010 The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction. Zbl 1259.35015 Bothe, Dieter; Pierre, Michel 15 2012 An enhanced un-split face-vertex flux-based VoF method. Zbl 1415.76501 Marić, Tomislav; Marschall, Holger; Bothe, Dieter 15 2018 Multivalued differential equations on graphs and applications. Zbl 0789.34013 Bothe, Dieter 13 1992 Instantaneous limits of reversible chemical reactions in presence of macroscopic convection. Zbl 1036.34059 Bothe, Dieter 13 2003 Global existence for a class of reaction-diffusion systems with mass action kinetics and concentration-dependent diffusivities. Zbl 1323.35079 Bothe, Dieter; Rolland, Guillaume 11 2015 Modeling and analysis of reactive multi-component two-phase flows with mass transfer and phase transition – the isothermal incompressible case. Zbl 1390.35258 Bothe, Dieter; Prüss, Jan 11 2017 Stability of equilibria for two-phase flows with soluble surfactant. Zbl 1273.76111 Bothe, Dieter; Prüss, Jan 10 2010 The instantaneous limit of a reaction-diffusion system. Zbl 0973.35103 Bothe, Dieter 10 2001 A volume-of-fluid-based numerical method for multi-component mass transfer with local volume changes. Zbl 1349.76843 Fleckenstein, Stefan; Bothe, Dieter 9 2015 A continuum model of heterogeneous catalysis: thermodynamic framework for multicomponent bulk and surface phenomena coupled by sorption. Zbl 1425.74186 Souček, Ondřej; Orava, Vít; Málek, Josef; Bothe, Dieter 9 2019 Global strong solutions for a class of heterogeneous catalysis models. Zbl 1355.35092 Bothe, Dieter; Köhne, Matthias; Maier, Siegfried; Saal, Jürgen 9 2017 Direct numerical simulation of droplet formation processes under the influence of soluble surfactant mixtures. Zbl 1390.76144 Dieter-Kissling, Kathrin; Marschall, Holger; Bothe, Dieter 9 2015 Global existence for diffusion-electromigration systems in space dimension three and higher. Zbl 1284.35214 Bothe, Dieter; Fischer, André; Pierre, Michel; Rolland, Guillaume 8 2014 Numerical method for coupled interfacial surfactant transport on dynamic surface meshes of general topology. Zbl 1390.76052 Dieter-Kissling, Kathrin; Marschall, Holger; Bothe, Dieter 8 2015 A kinematic evolution equation for the dynamic contact angle and some consequences. Zbl 1451.76128 Fricke, Mathis; Köhne, Matthias; Bothe, Dieter 7 2019 Lentfoam – a hybrid level set/front tracking method on unstructured meshes. Zbl 1390.76192 Marić, Tomislav; Marschall, Holger; Bothe, Dieter 7 2015 Nonlinear evolutions with Carathéodory forcing. Zbl 1044.47050 Bothe, Dieter 6 2003 Periodic solutions of non-smooth friction oscillators. Zbl 0981.34027 Bothe, Dieter 6 1999 Advanced subgrid-scale modeling for convection-dominated species transport at fluid interfaces with application to mass transfer from rising bubbles. Zbl 1380.76072 Weiner, Andre; Bothe, Dieter 6 2017 Dynamic behaviour of buoyant high viscosity droplets rising in a quiescent liquid. Zbl 1382.76255 Albert, C.; Kromer, J.; Robertson, A. M.; Bothe, D. 6 2015 Global wellposedness for a class of reaction-advection-anisotropic-diffusion systems. Zbl 1362.92093 Bothe, Dieter; Fischer, André; Pierre, Michel; Rolland, Guillaume 6 2017 On the interface formation model for dynamic triple lines. Zbl 1366.76089 Bothe, Dieter; Prüss, Jan 6 2016 Mass transport in multicomponent compressible fluids: local and global well-posedness in classes of strong solutions for general class-one models. Zbl 1470.35253 Bothe, Dieter; Druet, Pierre-Etienne 6 2021 Flow invariance for nonlinear accretive evolutions under range conditions. Zbl 1095.47050 Bothe, Dieter 4 2005 Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent. Zbl 1338.35351 Bothe, Dieter; Soga, Kohei 4 2016 Mass transport through charged membranes. Zbl 1033.35048 Bothe, Diether; Prüss, Jan 4 2002 Periodic solutions of a nonlinear evolution problem from heterogeneous catalysis. Zbl 1032.34061 Bothe, Dieter 4 2001 Direct numerical simulation of mass transfer in bubbly flows. Zbl 1410.76438 Deising, D.; Bothe, D.; Marschall, H. 4 2018 An extended volume of fluid method and its application to single bubbles rising in a viscoelastic liquid. Zbl 1452.76128 Niethammer, Matthias; Brenn, Günter; Marschall, Holger; Bothe, Dieter 4 2019 Highly accurate computation of volume fractions using differential geometry. Zbl 1452.65040 Kromer, Johannes; Bothe, Dieter 4 2019 A comparison of stabilisation approaches for finite-volume simulation of viscoelastic fluid flow. Zbl 07510432 Chen, Xingyuan; Marschall, Holger; Schäfer, Michael; Bothe, Dieter 4 2013 Face-based volume-of-fluid interface positioning in arbitrary polyhedra. Zbl 07524774 Kromer, Johannes; Bothe, Dieter 4 2022 SAAMPLE: a segregated accuracy-driven algorithm for multiphase pressure-linked equations. Zbl 1519.76324 Tolle, Tobias; Bothe, Dieter; Marić, Tomislav 4 2020 Direct numerical simulations of Taylor bubbles in a square mini-channel: detailed shape and flow analysis with experimental validation. Zbl 1391.76781 Marschall, Holger; Falconi, Carlos; Lehrenfeld, Christoph; Abiev, Rufat; Wörner, Martin; Reusken, Arnold; Bothe, Dieter 3 2017 Strong well-posedness for a class of dynamic outflow boundary conditions for incompressible Newtonian flows. Zbl 1362.76021 Bothe, Dieter; Kashiwabara, Takahito; Köhne, Matthias 3 2017 Sharp-interface continuum thermodynamics of multicomponent fluid systems with interfacial mass. Zbl 07575015 Bothe, Dieter 3 2022 A comparative study of transient capillary rise using direct numerical simulations. Zbl 1481.76087 Gründing, D.; Smuda, M.; Antritter, T.; Fricke, M.; Rettenmaier, D.; Kummer, F.; Stephan, P.; Marschall, H.; Bothe, D. 3 2020 The fast-sorption and fast-surface-reaction limit of a heterogeneous catalysis model. Zbl 1459.35243 Augner, Björn; Bothe, Dieter 3 2021 Experimental and computational analysis of fluid interfaces influenced by soluble surfactant. Zbl 1391.76783 Pesci, Chiara; Marschall, Holger; Kairaliyeva, Talmira; Ulaganathan, Vamseekrishna; Miller, Reinhard; Bothe, Dieter 2 2017 Computational analysis of binary collisions of shear-thinning droplets. Zbl 1282.76178 Focke, Christian; Bothe, Dieter 2 2011 Analysis of some heterogeneous catalysis models with fast sorption and fast surface chemistry. Zbl 1486.35263 Augner, Björn; Bothe, Dieter 2 2021 Well-posedness analysis of multicomponent incompressible flow models. Zbl 1504.35293 Bothe, Dieter; Druet, Pierre-Etienne 2 2021 On moving hypersurfaces and the discontinuous ODE-system associated with two-phase flows. Zbl 1455.34019 Bothe, Dieter 2 2020 Third-order accurate initialization of volume fractions on unstructured meshes with arbitrary polyhedral cells. Zbl 07649263 Kromer, Johannes; Bothe, Dieter 2 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. Zbl 07653138 Bothe, Dieter; Druet, Pierre-Étienne 2 2023 Contact line advection using the geometrical volume-of-fluid method. Zbl 07504697 Fricke, Mathis; Marić, Tomislav; Bothe, Dieter 2 2020 Computational analysis of single rising bubbles influenced by soluble surfactant. Zbl 1415.76658 Pesci, Chiara; Weiner, Andre; Marschall, Holger; Bothe, Dieter 2 2018 triSurfaceImmersion: computing volume fractions and signed distances from triangulated surfaces immersed in unstructured meshes. Zbl 07699232 Tolle, Tobias; Gründing, Dirk; Bothe, Dieter; Marić, Tomislav 2 2022 Upper semicontinuous perturbations of \(m\)-accretive operators and differential inclusions with dissipative right-hand side. Zbl 0882.47028 Bothe, Dieter 1 1996 Reaction-diffusion systems with discontinuities. A viability approach. Zbl 0892.35074 Bothe, Dieter 1 1997 Dynamics of a core-shell reaction-diffusion system. Zbl 0920.35074 Bothe, Dieter; Prüss, Jan 1 1999 Minimal solutions of multivalued differential equations. Zbl 0733.34024 Bothe, Dieter 1 1991 Global linear stability analysis of falling films with inlet and outlet. Zbl 1327.76072 Albert, C.; Tezuka, A.; Bothe, D. 1 2014 Boundedness-preserving implicit correction of mesh-induced errors for VOF based heat and mass transfer. Zbl 1375.76100 Hill, S.; Deising, D.; Acher, T.; Klein, H.; Bothe, D.; Marschall, H. 1 2018 Transport processes at fluidic interfaces. Zbl 1378.76006 1 2017 Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday. Zbl 1362.01009 1 2017 Abstract reaction-diffusion systems with \(m\)-completely accretive diffusion operators and measurable reaction rates. Zbl 1270.35291 Bothe, Dieter; Wittbold, Petra 1 2012 Third-order accurate initialization of volume fractions on unstructured meshes with arbitrary polyhedral cells. Zbl 07649263 Kromer, Johannes; Bothe, Dieter 2 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. Zbl 07653138 Bothe, Dieter; Druet, Pierre-Étienne 2 2023 Face-based volume-of-fluid interface positioning in arbitrary polyhedra. Zbl 07524774 Kromer, Johannes; Bothe, Dieter 4 2022 Sharp-interface continuum thermodynamics of multicomponent fluid systems with interfacial mass. Zbl 07575015 Bothe, Dieter 3 2022 triSurfaceImmersion: computing volume fractions and signed distances from triangulated surfaces immersed in unstructured meshes. Zbl 07699232 Tolle, Tobias; Gründing, Dirk; Bothe, Dieter; Marić, Tomislav 2 2022 Mass transport in multicomponent compressible fluids: local and global well-posedness in classes of strong solutions for general class-one models. Zbl 1470.35253 Bothe, Dieter; Druet, Pierre-Etienne 6 2021 The fast-sorption and fast-surface-reaction limit of a heterogeneous catalysis model. Zbl 1459.35243 Augner, Björn; Bothe, Dieter 3 2021 Analysis of some heterogeneous catalysis models with fast sorption and fast surface chemistry. Zbl 1486.35263 Augner, Björn; Bothe, Dieter 2 2021 Well-posedness analysis of multicomponent incompressible flow models. Zbl 1504.35293 Bothe, Dieter; Druet, Pierre-Etienne 2 2021 Unstructured un-split geometrical volume-of-fluid methods - a review. Zbl 07506620 Marić, Tomislav; Kothe, Douglas B.; Bothe, Dieter 25 2020 SAAMPLE: a segregated accuracy-driven algorithm for multiphase pressure-linked equations. Zbl 1519.76324 Tolle, Tobias; Bothe, Dieter; Marić, Tomislav 4 2020 A comparative study of transient capillary rise using direct numerical simulations. Zbl 1481.76087 Gründing, D.; Smuda, M.; Antritter, T.; Fricke, M.; Rettenmaier, D.; Kummer, F.; Stephan, P.; Marschall, H.; Bothe, D. 3 2020 On moving hypersurfaces and the discontinuous ODE-system associated with two-phase flows. Zbl 1455.34019 Bothe, Dieter 2 2020 Contact line advection using the geometrical volume-of-fluid method. Zbl 07504697 Fricke, Mathis; Marić, Tomislav; Bothe, Dieter 2 2020 A continuum model of heterogeneous catalysis: thermodynamic framework for multicomponent bulk and surface phenomena coupled by sorption. Zbl 1425.74186 Souček, Ondřej; Orava, Vít; Málek, Josef; Bothe, Dieter 9 2019 A kinematic evolution equation for the dynamic contact angle and some consequences. Zbl 1451.76128 Fricke, Mathis; Köhne, Matthias; Bothe, Dieter 7 2019 An extended volume of fluid method and its application to single bubbles rising in a viscoelastic liquid. Zbl 1452.76128 Niethammer, Matthias; Brenn, Günter; Marschall, Holger; Bothe, Dieter 4 2019 Highly accurate computation of volume fractions using differential geometry. Zbl 1452.65040 Kromer, Johannes; Bothe, Dieter 4 2019 An enhanced un-split face-vertex flux-based VoF method. Zbl 1415.76501 Marić, Tomislav; Marschall, Holger; Bothe, Dieter 15 2018 Direct numerical simulation of mass transfer in bubbly flows. Zbl 1410.76438 Deising, D.; Bothe, D.; Marschall, H. 4 2018 Computational analysis of single rising bubbles influenced by soluble surfactant. Zbl 1415.76658 Pesci, Chiara; Weiner, Andre; Marschall, Holger; Bothe, Dieter 2 2018 Boundedness-preserving implicit correction of mesh-induced errors for VOF based heat and mass transfer. Zbl 1375.76100 Hill, S.; Deising, D.; Acher, T.; Klein, H.; Bothe, D.; Marschall, H. 1 2018 Modeling and analysis of reactive multi-component two-phase flows with mass transfer and phase transition – the isothermal incompressible case. Zbl 1390.35258 Bothe, Dieter; Prüss, Jan 11 2017 Global strong solutions for a class of heterogeneous catalysis models. Zbl 1355.35092 Bothe, Dieter; Köhne, Matthias; Maier, Siegfried; Saal, Jürgen 9 2017 Advanced subgrid-scale modeling for convection-dominated species transport at fluid interfaces with application to mass transfer from rising bubbles. Zbl 1380.76072 Weiner, Andre; Bothe, Dieter 6 2017 Global wellposedness for a class of reaction-advection-anisotropic-diffusion systems. Zbl 1362.92093 Bothe, Dieter; Fischer, André; Pierre, Michel; Rolland, Guillaume 6 2017 Direct numerical simulations of Taylor bubbles in a square mini-channel: detailed shape and flow analysis with experimental validation. Zbl 1391.76781 Marschall, Holger; Falconi, Carlos; Lehrenfeld, Christoph; Abiev, Rufat; Wörner, Martin; Reusken, Arnold; Bothe, Dieter 3 2017 Strong well-posedness for a class of dynamic outflow boundary conditions for incompressible Newtonian flows. Zbl 1362.76021 Bothe, Dieter; Kashiwabara, Takahito; Köhne, Matthias 3 2017 Experimental and computational analysis of fluid interfaces influenced by soluble surfactant. Zbl 1391.76783 Pesci, Chiara; Marschall, Holger; Kairaliyeva, Talmira; Ulaganathan, Vamseekrishna; Miller, Reinhard; Bothe, Dieter 2 2017 Transport processes at fluidic interfaces. Zbl 1378.76006 1 2017 Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday. Zbl 1362.01009 1 2017 On the interface formation model for dynamic triple lines. Zbl 1366.76089 Bothe, Dieter; Prüss, Jan 6 2016 Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent. Zbl 1338.35351 Bothe, Dieter; Soga, Kohei 4 2016 Continuum thermodynamics of chemically reacting fluid mixtures. Zbl 1317.76082 Bothe, Dieter; Dreyer, Wolfgang 51 2015 Global existence for a class of reaction-diffusion systems with mass action kinetics and concentration-dependent diffusivities. Zbl 1323.35079 Bothe, Dieter; Rolland, Guillaume 11 2015 A volume-of-fluid-based numerical method for multi-component mass transfer with local volume changes. Zbl 1349.76843 Fleckenstein, Stefan; Bothe, Dieter 9 2015 Direct numerical simulation of droplet formation processes under the influence of soluble surfactant mixtures. Zbl 1390.76144 Dieter-Kissling, Kathrin; Marschall, Holger; Bothe, Dieter 9 2015 Numerical method for coupled interfacial surfactant transport on dynamic surface meshes of general topology. Zbl 1390.76052 Dieter-Kissling, Kathrin; Marschall, Holger; Bothe, Dieter 8 2015 Lentfoam – a hybrid level set/front tracking method on unstructured meshes. Zbl 1390.76192 Marić, Tomislav; Marschall, Holger; Bothe, Dieter 7 2015 Dynamic behaviour of buoyant high viscosity droplets rising in a quiescent liquid. Zbl 1382.76255 Albert, C.; Kromer, J.; Robertson, A. M.; Bothe, D. 6 2015 Global well-posedness and stability of electrokinetic flows. Zbl 1354.76064 Bothe, Dieter; Fischer, André; Saal, Jürgen 33 2014 Global existence for diffusion-electromigration systems in space dimension three and higher. Zbl 1284.35214 Bothe, Dieter; Fischer, André; Pierre, Michel; Rolland, Guillaume 8 2014 Global linear stability analysis of falling films with inlet and outlet. Zbl 1327.76072 Albert, C.; Tezuka, A.; Bothe, D. 1 2014 On a class of energy preserving boundary conditions for incompressible Newtonian flows. Zbl 1286.35191 Bothe, Dieter; Köhne, Matthias; Prüss, Jan 16 2013 A comparison of stabilisation approaches for finite-volume simulation of viscoelastic fluid flow. Zbl 07510432 Chen, Xingyuan; Marschall, Holger; Schäfer, Michael; Bothe, Dieter 4 2013 Cross-diffusion limit for a reaction-diffusion system with fast reversible reaction. Zbl 1263.35130 Bothe, Dieter; Pierre, Michel; Rolland, Guillaume 16 2012 The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction. Zbl 1259.35015 Bothe, Dieter; Pierre, Michel 15 2012 Abstract reaction-diffusion systems with \(m\)-completely accretive diffusion operators and measurable reaction rates. Zbl 1270.35291 Bothe, Dieter; Wittbold, Petra 1 2012 On the Maxwell-Stefan approach to multicomponent diffusion. Zbl 1250.35127 Bothe, Dieter 52 2011 Computational analysis of binary collisions of shear-thinning droplets. Zbl 1282.76178 Focke, Christian; Bothe, Dieter 2 2011 Quasi-steady-state approximation for a reaction-diffusion system with fast intermediate. Zbl 1191.35149 Bothe, Dieter; Pierre, Michel 25 2010 On the two-phase Navier-Stokes equations with Boussinesq-Scriven surface fluid. Zbl 1261.35100 Bothe, Dieter; Prüss, Jan 16 2010 Stability of equilibria for two-phase flows with soluble surfactant. Zbl 1273.76111 Bothe, Dieter; Prüss, Jan 10 2010 \(L_p\)-theory for a class of non-Newtonian fluids. Zbl 1172.35052 Bothe, Dieter; Prüss, Jan 54 2007 Well-posedness of a two-phase flow with soluble surfactant. Zbl 1095.35022 Bothe, Dieter; Prüss, Jan; Simonett, Gieri 21 2005 Flow invariance for nonlinear accretive evolutions under range conditions. Zbl 1095.47050 Bothe, Dieter 4 2005 A reaction-diffusion system with fast reversible reaction. Zbl 1039.35013 Bothe, D.; Hilhorst, D. 37 2003 Instantaneous limits of reversible chemical reactions in presence of macroscopic convection. Zbl 1036.34059 Bothe, Dieter 13 2003 Nonlinear evolutions with Carathéodory forcing. Zbl 1044.47050 Bothe, Dieter 6 2003 Mass transport through charged membranes. Zbl 1033.35048 Bothe, Diether; Prüss, Jan 4 2002 The instantaneous limit of a reaction-diffusion system. Zbl 0973.35103 Bothe, Dieter 10 2001 Periodic solutions of a nonlinear evolution problem from heterogeneous catalysis. Zbl 1032.34061 Bothe, Dieter 4 2001 Periodic solutions of non-smooth friction oscillators. Zbl 0981.34027 Bothe, Dieter 6 1999 Dynamics of a core-shell reaction-diffusion system. Zbl 0920.35074 Bothe, Dieter; Prüss, Jan 1 1999 Multivalued perturbations of \(m\)-accretive differential inclusions. Zbl 0922.47048 Bothe, Dieter 160 1998 Reaction-diffusion systems with discontinuities. A viability approach. Zbl 0892.35074 Bothe, Dieter 1 1997 Flow invariance for perturbed nonlinear evolution equations. Zbl 0954.34054 Bothe, Dieter 17 1996 Upper semicontinuous perturbations of \(m\)-accretive operators and differential inclusions with dissipative right-hand side. Zbl 0882.47028 Bothe, Dieter 1 1996 Multivalued differential equations on graphs. Zbl 0759.34011 Bothe, Dieter 16 1992 Multivalued differential equations on graphs and applications. Zbl 0789.34013 Bothe, Dieter 13 1992 Minimal solutions of multivalued differential equations. Zbl 0733.34024 Bothe, Dieter 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 857 Authors 48 Bothe, Dieter 16 Benchohra, Mouffak 15 Prüß, Jan Wilhelm 13 Jüngel, Ansgar 10 Donchev, Tzanko Donchev 10 Wilke, Mathias 10 Zhou, Yong 9 Druet, Pierre-Étienne 8 Cârjă, Ovidiu 8 Hieber, Matthias 8 Marschall, Holger 8 Pierre, Michel 7 Abbas, Said 7 Abels, Helmut 7 Ibrahim, Ahmed Gamal 7 Vrabie, Ioan I. 6 Desvillettes, Laurent 6 Ignatova, Mihaela 6 Li, Gang 6 Ma, Zhong-Xin 6 Marić, Tomislav 6 Necula, Mihai 6 Salvarani, Francesco 6 Zatorska, Ewelina 5 Disser, Karoline 5 Dreyer, Wolfgang 5 Fellner, Klemens 5 Grec, Bérénice 5 Hilhorst, Danielle 5 Ke, Tran Dinh 5 Lan, Do 5 Mielke, Alexander 5 Ninomiya, Hirokazu 5 Pandey, Dwijendra Narain 5 Rolland, Guillaume 5 Simonett, Gieri 5 Tang, Bao Quoc 5 Wang, Jinrong 5 Wang, Rongnian 4 Ahmad, Bashir 4 Alsarori, Nawal A. 4 Boudin, Laurent 4 Chaudhary, Renu 4 Constantin, Peter 4 Ćwiszewski, Aleksander 4 Derbazi, Choukri 4 Ezzinbi, Khalil 4 Feireisl, Eduard 4 Fricke, Mathis 4 Gabor, Grzegorz 4 Garcke, Harald 4 Ghadle, Kirtiwant P. 4 Guhlke, Clemens 4 Jiang, Yirong 4 Koba, Hajime 4 Köhne, Matthias 4 Kromer, Johannes 4 Kryszewski, Wojciech 4 Lazu, Alina Ilinca 4 Lee, Fizay-Noah 4 Lizama, Carlos 4 Mucha, Piotr Bogusław 4 Murakawa, Hideki 4 O’Regan, Donal 4 Pokorný, Milan 4 Růžička, Michael 4 Shibata, Yoshihiro 4 Simic, Srboljub S. 4 Tzavaras, Athanasios E. 4 Vilches, Emilio 4 Wang, Yong 4 Yu, Yangyang 4 Zamponi, Nicola 4 Zhang, Lu 4 Zhu, Lanping 4 Zhu, Pengxian 3 Anh, Nguyen Thi Van 3 Augner, Björn 3 Bae, Hyeong-Ohk 3 Baitiche, Zidane 3 Briant, Marc 3 Bulíček, Miroslav 3 Eymard, Robert 3 Giesselmann, Jan 3 Henderson, Johnny Lee 3 Huo, Xiaokai 3 Iida, Masato 3 Kang, Kyungkeun 3 Klika, Václav 3 Kotschote, Matthias 3 Kühn, Christian 3 Li, Fang 3 Linke, Alexander 3 Liu, Chun 3 Lorenz, Thomas 3 Ma, Qinghua 3 Málek, Josef 3 Maniar, Lahcen 3 Migórski, Stanisław 3 Mimura, Masayasu ...and 757 more Authors all top 5 Cited in 188 Serials 36 Journal of Computational Physics 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Journal of Mathematical Analysis and Applications 20 Computers and Fluids 16 Journal of Differential Equations 16 Journal of Evolution Equations 15 SIAM Journal on Mathematical Analysis 15 Journal of Mathematical Fluid Mechanics 12 Advances in Difference Equations 11 Nonlinear Analysis. Real World Applications 10 Mathematical Methods in the Applied Sciences 9 International Journal of Engineering Science 9 Journal of Fluid Mechanics 9 Nonlinearity 8 Archive for Rational Mechanics and Analysis 7 Quarterly of Applied Mathematics 7 Discrete and Continuous Dynamical Systems. Series S 6 Applied Mathematics and Computation 6 Acta Applicandae Mathematicae 6 Physica D 6 Discrete and Continuous Dynamical Systems. Series B 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Mathematische Annalen 5 NoDEA. Nonlinear Differential Equations and Applications 5 Discrete and Continuous Dynamical Systems 5 Fractional Calculus & Applied Analysis 5 Communications on Pure and Applied Analysis 5 Evolution Equations and Control Theory 4 Applicable Analysis 4 Computer Methods in Applied Mechanics and Engineering 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Applied Mathematical Modelling 4 Communications in Partial Differential Equations 4 Topological Methods in Nonlinear Analysis 4 Random Operators and Stochastic Equations 4 Abstract and Applied Analysis 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Computers & Mathematics with Applications 3 Journal of Mathematical Physics 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Applied Mathematics Letters 3 Asymptotic Analysis 3 Journal of Scientific Computing 3 Journal of Integral Equations and Applications 3 Journal of Dynamics and Differential Equations 3 Journal of Nonlinear Science 3 Bulletin des Sciences Mathématiques 3 Differential Equations and Dynamical Systems 3 Central European Journal of Mathematics 3 Boundary Value Problems 3 Set-Valued and Variational Analysis 3 SN Partial Differential Equations and Applications 2 Acta Mechanica 2 Communications in Mathematical Physics 2 Computer Physics Communications 2 Journal of Mathematical Biology 2 Journal of Optimization Theory and Applications 2 Mathematische Nachrichten 2 Ricerche di Matematica 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 Zeitschrift für Analysis und ihre Anwendungen 2 Bulletin of the Iranian Mathematical Society 2 European Journal of Applied Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Continuum Mechanics and Thermodynamics 2 Set-Valued Analysis 2 Journal of Mathematical Chemistry 2 Nonlinear Dynamics 2 Taiwanese Journal of Mathematics 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 Journal of Function Spaces and Applications 2 Mediterranean Journal of Mathematics 2 Journal of Fixed Point Theory and Applications 2 Kinetic and Related Models 2 International Journal of Differential Equations 2 Science China. Mathematics 2 S\(\vec{\text{e}}\)MA Journal 2 Journal of Function Spaces 2 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Elliptic and Parabolic Equations 2 AIMS Mathematics 2 Journal of Computational Physics: X 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Wave Motion 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization ...and 88 more Serials all top 5 Cited in 37 Fields 310 Partial differential equations (35-XX) 237 Fluid mechanics (76-XX) 160 Ordinary differential equations (34-XX) 121 Operator theory (47-XX) 66 Numerical analysis (65-XX) 63 Biology and other natural sciences (92-XX) 44 Classical thermodynamics, heat transfer (80-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 28 Integral equations (45-XX) 23 Real functions (26-XX) 23 Statistical mechanics, structure of matter (82-XX) 19 Systems theory; control (93-XX) 17 Dynamical systems and ergodic theory (37-XX) 17 Mechanics of deformable solids (74-XX) 15 Probability theory and stochastic processes (60-XX) 14 Optics, electromagnetic theory (78-XX) 7 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of particles and systems (70-XX) 5 Geophysics (86-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Citations by Year