Edit Profile (opens in new tab) Markowich, Peter Alexander Compute Distance To: Compute Author ID: markowich.peter-alexander Published as: Markowich, Peter A.; Markowich, Peter; Markowich, P. A.; Markowich, P.; Markowich, Peter Alexander; Markovich, P. more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 209 Publications since 1980, including 4 Books 5 Contributions as Editor Biographic References: 1 Publication Co-Authors: 147 Co-Authors with 196 Joint Publications 4,764 Co-Co-Authors all top 5 Co-Authors 18 single-authored 24 Schmeiser, Christian 22 Sparber, Christof 13 Degond, Pierre 12 Haskovec, Jan 12 Jin, Shi 11 Arnold, Anton 11 Burger, Martin 11 Ringhofer, Christian A. 9 Gasser, Ingenuin 9 Perthame, Benoît 9 Wolfram, Marie-Therese 8 Bao, Weizhu 8 Dolbeault, Jean 8 Hajaiej, Hichem 8 Unterreiter, Andreas 7 Huang, Zhongyi 7 Mauser, Norbert Julius 7 Pietra, Paola 7 Toscani, Giuseppe 6 Caffarelli, Luis Ángel 6 Jüngel, Ansgar 6 Poupaud, Frédéric 6 Renardy, Michael 5 Carrillo de la Plata, José Antonio 5 Cordier, Stéphane 5 Di Francesco, Marco 5 Pietschmann, Jan-Frederik 5 Trabelsi, Saber 5 Wang, Shu 4 Brezzi, Franco 4 Kreusser, Lisa Maria 4 Li, Hailiang 4 Lorz, Alexander 4 Paul, Thierry 4 Sierra, Jesús 4 Zubelli, Jorge P. 3 Antonelli, Paolo 3 Ben Abdallah, Naoufel 3 Engl, Heinz W. 3 Fellner, Klemens 3 Klein, Christian 3 Lederman, Claudia B. 3 Leitão, Antonio 3 Pohl, Carsten 3 Weishäupl, Rada-Maria 2 Alhomedan, Suad 2 Aoki, Kazuo 2 Ascher, Uri M. 2 Athanassoulis, Agisillaos 2 Bardos, Claude Williams 2 Biler, Piotr 2 Brinkman, Daniel 2 Carles, Rémi 2 Chalub, Fabio A. C. C. 2 Chen, Huyuan 2 Düring, Bertram 2 Golse, François 2 Jaksch, Dieter 2 Matevosyan, Norayr 2 Mei, Ming 2 Mielke, Alexander 2 Ölz, Dietmar 2 Pareschi, Lorenzo 2 Pilli, Giulia 2 Schönlieb, Carola-Bibiane 2 Steinrück, Herbert 2 Villani, Cédric 2 Weiss, Richard 2 Zheng, Chunxiong 1 Abdelhedi, Wael 1 Aki, Gonca L. 1 Albi, Giacomo 1 Alhemedan, Suad 1 Artina, Marco 1 Bod’ová, Katarína 1 Bonilla, Luis Lopez 1 Borgna, Juan Pablo 1 Chai, Lihui 1 Chertock, Alina E. 1 Cho, Yonggeun 1 Chtioui, Hichem 1 Chu, Shun-Yin 1 Ciepliński, Krzysztof 1 de Hoop, Maarten V. 1 Desvillettes, Laurent 1 Dolak-Struss, Yasmin 1 Duan, Renjun 1 Esteban, Maria J. 1 Fall, Mouhamed Moustapha 1 Fang, Di 1 Figalli, Alessio 1 Foransier, Massimo 1 Gabetta, Ester 1 Gangbo, Wilfrid 1 Ge, Yunyi 1 Gerard, Patrick 1 Giga, Yoshikazu 1 Gosse, Laurent 1 Hao, Wu 1 Heitzinger, Clemens ...and 48 more Co-Authors all top 5 Serials 13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 SIAM Journal on Mathematical Analysis 8 Communications in Mathematical Sciences 6 Archive for Rational Mechanics and Analysis 6 Journal of Computational Physics 6 Monatshefte für Mathematik 5 Journal of Mathematical Physics 5 Journal of Differential Equations 5 Applied Mathematics Letters 5 Communications in Partial Differential Equations 4 Nonlinearity 4 Transport Theory and Statistical Physics 4 SIAM Journal on Numerical Analysis 4 SIAM Journal on Applied Mathematics 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Kinetic and Related Models 3 IMA Journal of Applied Mathematics 3 Journal of Statistical Physics 3 Mathematical Methods in the Applied Sciences 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Asymptotic Analysis 3 Milan Journal of Mathematics 3 Multiscale Modeling & Simulation 2 Communications on Pure and Applied Mathematics 2 Inverse Problems 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematics of Computation 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Numerische Mathematik 2 Mathematical and Computer Modelling 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Bollettino della Unione Matemàtica Italiana. Serie VII. B 2 Journal of Nonlinear Science 2 SIAM Journal on Scientific Computing 2 Electronic Journal of Differential Equations (EJDE) 2 Discrete and Continuous Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis and Applications (Singapore) 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Wave Motion 1 Calcolo 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Physica D 1 Revista Matemática Iberoamericana 1 COMPEL 1 Forum Mathematicum 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 Journal of Non-Newtonian Fluid Mechanics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Journal of Mathematical Sciences (New York) 1 Matemática Contemporânea 1 Taiwanese Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Interfaces and Free Boundaries 1 Acta Numerica 1 Complex Variables and Elliptic Equations 1 Communications in Computational Physics 1 Mathematics and Mechanics of Complex Systems 1 Nonlinear Analysis. Theory, Methods & Applications 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SMAI Journal of Computational Mathematics all top 5 Fields 155 Partial differential equations (35-XX) 56 Statistical mechanics, structure of matter (82-XX) 53 Numerical analysis (65-XX) 40 Quantum theory (81-XX) 35 Fluid mechanics (76-XX) 25 Biology and other natural sciences (92-XX) 23 Optics, electromagnetic theory (78-XX) 21 Ordinary differential equations (34-XX) 13 Integral equations (45-XX) 9 Mechanics of deformable solids (74-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 General and overarching topics; collections (00-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 2 Real functions (26-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 185 Publications have been cited 4,413 times in 2,725 Documents Cited by ▼ Year ▼ Semiconductor equations. Zbl 0765.35001Markowich, Peter A.; Ringhofer, Christian A.; Schmeiser, Christian 447 1990 Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005Duan, Renjun; Lorz, Alexander; Markowich, Peter 214 2010 Homogenization limits and Wigner transforms. Zbl 0881.35099Gérard, Patrick; Markowich, Peter A.; Mauser, Norbert J.; Poupaud, Frédéric 200 1997 On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Zbl 0982.35113Arnold, Anton; Markowich, Peter; Toscani, Giuseppe; Unterreiter, Andreas 173 2001 On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. Zbl 1006.65112Bao, Weizhu; Jin, Shi; Markowich, Peter A. 169 2002 Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities. Zbl 0984.35027Carrillo, J. A.; Jüngel, A.; Markowich, P. A.; Toscani, G.; Unterreiter, A. 136 2001 Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior. Zbl 1276.35103Di Francesco, Marco; Lorz, Alexander; Markowich, Peter A. 136 2010 Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation. Zbl 1028.82501Bao, Weizhu; Jaksch, Dieter; Markowich, Peter A. 133 2003 Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian 121 2004 On a one-dimensional steady-state hydrodynamic model for semiconductors. Zbl 0736.35129Degond, P.; Markowich, P. A. 100 1990 Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. Zbl 1038.65099Bao, Weizhu; Jin, Shi; Markowich, Peter A. 85 2003 Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A. 65 2012 Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber 63 2016 Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders. Zbl 1195.91127Düring, Bertram; Markowich, Peter; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese 62 2009 Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071Jin, Shi; Markowich, Peter; Sparber, Christof 58 2011 A steady state potential flow model for semiconductors. Zbl 0808.35150Degond, Pierre; Markowich, Peter A. 56 1993 The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Zbl 0739.35080Brezzi, Franco; Markowich, Peter A. 55 1991 Quantum hydrodynamics, Wigner transforms and the classical limit. Zbl 0877.76087Gasser, Ingenuin; Markowich, Peter A. 55 1997 Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004Bao, Weizhu; Wang, Hanquan; Markowich, Peter A. 54 2005 The classical limit of a self-consistent quantum-Vlasov equation in 3D. Zbl 0772.35061Markowich, Peter A.; Mauser, Norbert J. 53 1993 Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit. Zbl 0928.65109Markowich, Peter A.; Pietra, Paola; Pohl, Carsten 51 1999 On the trend to equilibrium for the Fokker-Planck equation: an interplay between physics and functional analysis. Zbl 1139.82326Markowich, P. A.; Villani, C. 49 2000 Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors. Zbl 1119.35310Li, Hailiang; Markowich, Peter; Mei, Ming 49 2002 The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors. Zbl 1045.35088Hsiao, Ling; Markowich, Peter A.; Wang, Shu 49 2003 On the Gross-Pitaevskii equation for trapped dipolar quantum gases. Zbl 1157.35102Carles, Rémi; Markowich, Peter A.; Sparber, Christof 47 2008 Model hierarchies for cell aggregation by chemotaxis. Zbl 1094.92009Chalub, Fabio; Dolak-Struss, Yasmin; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian; Soreff, Alexander 47 2006 A time-splitting spectral scheme for the Maxwell-Dirac system. Zbl 1070.81040Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong 43 2005 A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential. Zbl 0805.35106Markowich, P. A.; Mauser, N. J.; Poupaud, F. 41 1994 On the equivalence of the Schrödinger and the quantum Liouville equations. Zbl 0696.47042Markowich, Peter A. 40 1989 Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese 39 2014 On a one-dimensional Schrödinger-Poisson scattering model. Zbl 0885.34067Ben Abdallah, Naoufel; Degond, Pierre; Markowich, Peter A. 35 1997 Numerical study of fractional nonlinear Schrödinger equations. Zbl 1372.65284Klein, Christian; Sparber, Christof; Markowich, Peter 35 2014 On the Hughes’ model for pedestrian flow: the one-dimensional case. Zbl 1229.35139Di Francesco, Marco; Markowich, Peter A.; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese 34 2011 On generalized Csiszár-Kullback inequalities. Zbl 1015.94003Unterreiter, Andreas; Arnold, Anton; Markowich, Peter; Toscani, Giuseppe 34 2000 Numerical simulation of a generalized Zakharov system. Zbl 1079.65101Jin, Shi; Markowich, Peter A.; Zheng, Chunxiong 33 2004 The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model. Zbl 1018.82024Gasser, Ingenuin; Levermore, C. David; Markowich, Peter A.; Schmeiser, Christian 32 2001 Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C. 31 2004 A phase plane analysis of transonic solutions for the hydrodynamic semiconductor model. Zbl 0800.76032Ascher, Uri M.; Markowich, Peter A.; Pietra, Paola; Schmeiser, Christian 31 1991 Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043Klein, Christian; Sparber, Christof; Markowich, Peter 29 2007 An analysis of quantum Fokker-Planck models: a Wigner function approach. Zbl 1062.35097Arnold, Anton; López, José L.; Markowich, Peter A.; Soler, Juan 28 2004 Wigner functions versus WKB-methods in multivalued geometrical optics. Zbl 1069.81552Sparber, Christof; Markowich, Peter A.; Mauser, Norbert J. 27 2003 On steady state Euler-Poisson models for semiconductors. Zbl 0755.35138Markowich, Peter A. 27 1991 On uniform decay of the entropy for reaction-diffusion systems. Zbl 1338.35245Mielke, Alexander; Haskovec, Jan; Markowich, Peter A. 26 2015 On large time asymptotics for drift-diffusion-Poisson systems. Zbl 1017.82041Arnold, Anton; Markowich, Peter; Toscani, Giuseppe 24 2000 A Wigner-measure analysis of the Dufort–Frankel scheme for the Schrödinger equation. Zbl 1029.65098Markowich, Peter A.; Pietra, Paola; Pohl, Carsten; Stimming, Hans Peter 24 2002 Closure conditions for classical and quantum moment hierarchies in the small-temperature limit. Zbl 0871.76078Gasser, Ingenuin; Markowich, Peter A.; Ringhofer, Christian A. 23 1996 Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels. Zbl 1148.76047Dolbeault, Jean; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian 21 2007 An analysis of the quantum Liouville equation. Zbl 0682.46047Markowich, P. A.; Ringhofer, C. A. 21 1989 Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120Haskovec, Jan; Markowich, Peter; Perthame, Benoit 21 2015 Quasi-neutral limit of the drift diffusion models for semiconductors: the case of general sign-changing doping profile. Zbl 1103.76070Wang, Shu; Xin, Zhouping; Markowich, Peter A. 21 2006 Quasi-neutral limit of a nonlinear drift diffusion model for semiconductors. Zbl 1016.82034Gasser, Ingenuin; Hsiao, Ling; Markowich, Peter A.; Wang, Shu 21 2002 Uniform asymptotic representation of solutions of the basic semiconductor-device equations. Zbl 0614.34013Markowich, Peter A.; Schmeiser, Christian 19 1986 Optimal bilinear control of Gross-Pitaevskii equations. Zbl 1277.49005Hintermüller, Michael; Marahrens, Daniel; Markowich, Peter A.; Sparber, Christof 18 2013 Notes on a PDE system for biological network formation. Zbl 1334.35101Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias 18 2016 A system of convection-diffusion equations with small diffusion coefficient arising in semiconductor physics. Zbl 0709.35058Markowich, Peter A.; Szmolyan, Peter 17 1989 Biological transportation networks: modeling and simulation. Zbl 1329.35313Albi, Giacomo; Artina, Marco; Foransier, Massimo; Markowich, Peter A. 17 2016 Poincaré inequalities for linearizations of very fast diffusion equations. Zbl 1011.35025Carrillo, J. A.; Lederman, C.; Markowich, P. A.; Toscani, G. 17 2002 A singularly perturbed boundary value problem modelling a semiconductor device. Zbl 0559.34058Markowich, Peter A.; Ringhofer, Christian A. 17 1984 On a Boltzmann-type price formation model. Zbl 1372.91039Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese 17 2013 Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik 16 2011 On singular limits of mean-field equations. Zbl 1054.76086Dolbeault, Jean; Markowich, Peter A.; Unterreiter, Andreas 16 2001 Semiclassical asymptotics for the Maxwell-Dirac system. Zbl 1062.81059Sparber, C.; Markowich, P. 16 2003 A convergent 2D finite-difference scheme for the Dirac-Poisson system and the simulation of graphene. Zbl 1349.65271Brinkman, D.; Heitzinger, C.; Markowich, P. A. 16 2014 A review of dispersive limits of (non)linear Schrödinger-type equations. Zbl 0972.35112Gasser, Ingenuin; Lin, Chi-Kun; Markowich, Peter A. 15 2000 Existence and nonlinear stability of stationary states of the Schrödinger-Poisson system. Zbl 1001.82107Markowich, Peter A.; Rein, Gerhard; Wolansky, Gershon 15 2002 A Bloch decomposition – based split-step pseudospectral method for quantum dynamics with periodic potentials. Zbl 1136.65093Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof 15 2007 On fast-diffusion equations with infinite equilibrium entropy and finite equilibrium mass. Zbl 1024.35040Lederman, Claudia; Markowich, Peter A. 15 2003 Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension. Zbl 0829.35127Brezzi, F.; Gasser, I.; Markowich, P. A.; Schmeiser, C. 15 1995 Semiclassical, \(t\to \infty\) asymptotics and dispersive effects for Hartree-Fock systems. Zbl 0924.35125Gasser, I.; Illner, R.; Markowich, P. A.; Schmeiser, C. 15 1998 On a parabolic free boundary equation modeling price formation. Zbl 1183.35278Markowich, P. A.; Matevosyan, N.; Pietschmann, J.-F.; Wolfram, M.-T. 14 2009 Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049Carles, Rémi; Markowich, Peter A.; Sparber, Christof 14 2004 Asymptotic behavior of subsonic entropy solutions of the isentropic Euler-Poisson equations. Zbl 1031.35100Li, Hailiang; Markowich, Peter; Mei, Ming 14 2002 Decay to equilibrium for energy-reaction-diffusion systems. Zbl 1387.35352Haskovec, Jan; Hittmeir, Sabine; Markowich, Peter; Mielke, Alexander 14 2018 Partial differential equation models in the socio-economic sciences. Zbl 1353.00004 14 2014 A theory for the approximation of solutions of boundary value problems on infinite intervals. Zbl 0498.34007Markowich, Peter A. 13 1982 Fast conservative and entropic numerical methods for the boson Boltzmann equation. Zbl 1204.82031Markowich, Peter A.; Pareschi, Lorenzo 13 2005 On a price formation free boundary model by Lasry and Lions. Zbl 1216.91012Caffarelli, Luis A.; Markowich, Peter A.; Pietschmann, Jan-F. 13 2011 A singular perturbation analysis of the fundamental semiconductor device equations. Zbl 0568.35007Markowich, Peter A. 13 1984 On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging. Zbl 1294.35129Antonelli, Paolo; Athanassoulis, Agisillaos; Hajaiej, Hichem; Markowich, Peter 13 2014 Analysis of boundary value problems on infinite intervals. Zbl 0528.34017Markowich, Peter A. 12 1983 A nonlinear Volterra integrodifferential equation describing the stretching of polymeric liquids. Zbl 0507.45013Markowich, Peter A.; Renardy, M. 12 1983 Global existence and asymptotic behavior for a semiconductor drift-diffusion-Poisson model. Zbl 1157.35013Hao, Wu; Markowich, Peter A.; Zheng, Songmu 12 2008 Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. I: Homogeneous problems. Zbl 1079.81026Gosse, Laurent; Markowich, Peter A. 12 2004 A drift-diffusion-reaction model for excitonic photovoltaic bilayers: asymptotic analysis and a 2D HDG finite element scheme. Zbl 1264.35118Brinkman, Daniel; Fellner, Klemens; Markowich, Peter A.; Wolfram, Marie-Therese 12 2013 The entropy dissipation method for spatially inhomogeneous reaction-diffusion-type systems. Zbl 1186.35101Di Francesco, Marco; Fellner, Klemens; Markowich, Peter A. 12 2008 High field approximations of the spherical harmonics expansion model for semiconductors. Zbl 1174.82345Ben Abdallah, N.; Degond, P.; Markowich, P.; Schmeiser, C. 11 2001 Identification of doping profiles in semiconductor devices. Zbl 0989.35139Burger, Martin; Engl, Heinz W.; Markowich, Peter A.; Pietra, Paola 11 2001 Travelling wave analysis of an isothermal Euler-Poisson model. Zbl 0884.35126Cordier, S.; Degond, P.; Markowich, P.; Schmeiser, C. 11 1996 Numerical simulation of the nonlinear Schrödinger equation with multidimensional periodic potentials. Zbl 1173.65341Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof 10 2008 On the long-time behavior of the quantum Fokker-Planck equation. Zbl 1061.35095Sparber, C.; Carrillo, J. A.; Dolbeault, J.; Markowich, P. A. 10 2004 Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. Zbl 1061.35070Imaikin, Valery; Komech, Alexander; Markowich, Peter A. 10 2003 An asymptotic analysis of one-dimensional models of semiconductur devices. Zbl 0639.34016Markowich, P. A.; Ringhofer, C. A.; Schmeiser, C. 10 1986 Rigorous continuum limit for the discrete network formation problem. Zbl 1428.35652Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter 10 2019 Conditioning of the steady state semiconductor device problem. Zbl 0699.35046Ascher, U.; Markowich, P. A.; Schmeiser, C.; Steinrück, Herbert; Weiss, R. 9 1989 Bohmian measures and their classical limit. Zbl 1195.81060Markowich, Peter; Paul, Thierry; Sparber, Christof 9 2010 On Maxwellian equilibria of insulated semiconductors. Zbl 0961.35158Caffarelli, Luis; Dolbeault, Jean; Markowich, Peter A.; Schmeiser, Christian 9 2000 The drift-diffusion limit for electron-phonon interaction in semiconductors. Zbl 0884.45006Markowich, Peter A.; Schmeiser, Christian 9 1997 ODE- and PDE-based modeling of biological transportation networks. Zbl 1433.35421Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter 9 2019 On the asymptotic behavior of a Boltzmann-type price formation model. Zbl 1307.35302Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese 8 2014 Collocation methods for boundary value problems on ’long’ intervals. Zbl 0532.65060Markowich, Peter A.; Ringhofer, Christian A. 8 1983 Rigorous continuum limit for the discrete network formation problem. Zbl 1428.35652Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter 10 2019 ODE- and PDE-based modeling of biological transportation networks. Zbl 1433.35421Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter 9 2019 A mesoscopic model of biological transportation networks. Zbl 1433.35416Burger, Martin; Haskovec, Jan; Markowich, Peter; Ranetbauer, Helene 7 2019 Auxin transport model for leaf venation. Zbl 1472.92147Haskovec, Jan; Jönsson, Henrik; Kreusser, Lisa Maria; Markowich, Peter 3 2019 Implicit and semi-implicit numerical schemes for the gradient flow of the formation of biological transport networks. Zbl 1437.65095Fang, Di; Jin, Shi; Markowich, Peter; Perthame, Benoît 3 2019 Non-uniqueness of weak solutions of the quantum-hydrodynamic system. Zbl 1421.35004Markowich, Peter; Sierra, Jesús 2 2019 Murray’s law for discrete and continuum models of biological networks. Zbl 1428.92029Haskovec, Jan; Markowich, Peter; Pilli, Giulia 2 2019 Decay to equilibrium for energy-reaction-diffusion systems. Zbl 1387.35352Haskovec, Jan; Hittmeir, Sabine; Markowich, Peter; Mielke, Alexander 14 2018 Pattern formation of a nonlocal, anisotropic interaction model. Zbl 1383.35024Burger, Martin; Düring, Bertram; Kreusser, Lisa Maria; Markowich, Peter A.; Schönlieb, Carola-Bibiane 7 2018 Fundamental solutions for Schrödinger operators with general inverse square potentials. Zbl 1395.35002Chen, Huyuan; Alhomedan, Suad; Hajaiej, Hichem; Markowich, Peter 3 2018 Well posedness and maximum entropy approximation for the dynamics of quantitative traits. Zbl 1398.35245Boďová, Katarína; Haskovec, Jan; Markowich, Peter 1 2018 Complete study of the existence and uniqueness of solutions for semilinear elliptic equations involving measures concentrated on boundary. Zbl 1387.35603Chen, Huyuan; Alhomedan, Suad; Hajaiej, Hichem; Markowich, Peter 4 2017 Orbital stability of standing waves of a class of fractional Schrödinger equations with Hartree-type nonlinearity. Zbl 1375.35480Cho, Yonggeun; Fall, Mouhamed M.; Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber 3 2017 Existence of solutions to perturbed fractional Nirenberg problems. Zbl 1359.35210Abdelhedi, Wael; Alhemedan, Suad; Chtioui, Hichem; Hajaiej, Hichem; Markowich, Peter A. 1 2017 Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber 63 2016 Notes on a PDE system for biological network formation. Zbl 1334.35101Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias 18 2016 Biological transportation networks: modeling and simulation. Zbl 1329.35313Albi, Giacomo; Artina, Marco; Foransier, Massimo; Markowich, Peter A. 17 2016 Parabolic free boundary price formation models under market size fluctuations. Zbl 1355.35184Markowich, Peter; Teichmann, Josef; Wolfram, Marie-Therese 4 2016 On uniform decay of the entropy for reaction-diffusion systems. Zbl 1338.35245Mielke, Alexander; Haskovec, Jan; Markowich, Peter A. 26 2015 Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120Haskovec, Jan; Markowich, Peter; Perthame, Benoit 21 2015 On the Gross-Pitaevskii equation with pumping and decay: stationary states and their stability. Zbl 1318.35109Sierra, Jesús; Kasimov, Aslan; Markowich, Peter; Weishäupl, Rada-Maria 4 2015 Hamiltonian evolution of monokinetic measures with rough momentum profile. Zbl 1329.35259Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry 3 2015 On the classical limit of the Schrödinger equation. Zbl 1332.35312Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry 2 2015 Stationary solutions of Keller-Segel-type crowd motion and herding models: multiplicity and dynamical stability. Zbl 1336.35337Dolbeault, Jean; Jankowiak, Gaspard; Markowich, Peter 1 2015 Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese 39 2014 Numerical study of fractional nonlinear Schrödinger equations. Zbl 1372.65284Klein, Christian; Sparber, Christof; Markowich, Peter 35 2014 A convergent 2D finite-difference scheme for the Dirac-Poisson system and the simulation of graphene. Zbl 1349.65271Brinkman, D.; Heitzinger, C.; Markowich, P. A. 16 2014 Partial differential equation models in the socio-economic sciences. Zbl 1353.00004 14 2014 On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging. Zbl 1294.35129Antonelli, Paolo; Athanassoulis, Agisillaos; Hajaiej, Hichem; Markowich, Peter 13 2014 On the asymptotic behavior of a Boltzmann-type price formation model. Zbl 1307.35302Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese 8 2014 Numerical simulations of X-ray free electron lasers (XFEL). Zbl 1319.78015Antonelli, Paolo; Athanassoulis, Agissilaos; Huang, Zhongyi; Markowich, Peter A. 7 2014 Multiconfiguration Hartree-Fock theory for pseudorelativistic systems: the time-dependent case. Zbl 1291.35256Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber 4 2014 WKB analysis of Bohmian dynamics. Zbl 1341.35139Figalli, A.; Klein, C.; Markowich, P.; Sparber, C. 3 2014 Variational approach to the orbital stability of standing waves of the Gross-Pitaevskii equation. Zbl 1304.35655Selem, Fouad Hadj; Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber 3 2014 Minimizers of a class of constrained vectorial variational problems. I. Zbl 1307.49012Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber 3 2014 Optimal bilinear control of Gross-Pitaevskii equations. Zbl 1277.49005Hintermüller, Michael; Marahrens, Daniel; Markowich, Peter A.; Sparber, Christof 18 2013 On a Boltzmann-type price formation model. Zbl 1372.91039Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese 17 2013 A drift-diffusion-reaction model for excitonic photovoltaic bilayers: asymptotic analysis and a 2D HDG finite element scheme. Zbl 1264.35118Brinkman, Daniel; Fellner, Klemens; Markowich, Peter A.; Wolfram, Marie-Therese 12 2013 Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A. 65 2012 On the dynamics of Bohmian measures. Zbl 1256.35171Markowich, Peter; Paul, Thierry; Sparber, Christof 5 2012 Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071Jin, Shi; Markowich, Peter; Sparber, Christof 58 2011 On the Hughes’ model for pedestrian flow: the one-dimensional case. Zbl 1229.35139Di Francesco, Marco; Markowich, Peter A.; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese 34 2011 Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik 16 2011 On a price formation free boundary model by Lasry and Lions. Zbl 1216.91012Caffarelli, Luis A.; Markowich, Peter A.; Pietschmann, Jan-F. 13 2011 On a price formation free boundary model by Lasry and Lions: the Neumann problem. Zbl 1233.91336Caffarelli, Luis A.; Markowich, Peter A.; Wolfram, Marie-Therese 7 2011 Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005Duan, Renjun; Lorz, Alexander; Markowich, Peter 214 2010 Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior. Zbl 1276.35103Di Francesco, Marco; Lorz, Alexander; Markowich, Peter A. 136 2010 Bohmian measures and their classical limit. Zbl 1195.81060Markowich, Peter; Paul, Thierry; Sparber, Christof 9 2010 Numerical simulation of trapped dipolar quantum gases: collapse studies and vortex dynamics. Zbl 1188.81064Huang, Zhongyi; Markowich, Peter A.; Sparber, Christof 3 2010 Decomposition-based method for high frequency waves in periodic media. Zbl 1227.35022Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof 1 2010 Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders. Zbl 1195.91127Düring, Bertram; Markowich, Peter; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese 62 2009 On a parabolic free boundary equation modeling price formation. Zbl 1183.35278Markowich, P. A.; Matevosyan, N.; Pietschmann, J.-F.; Wolfram, M.-T. 14 2009 On the Bloch decomposition based spectral method for wave propagation in periodic media. Zbl 1231.78019Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof 3 2009 On the Gross-Pitaevskii equation for trapped dipolar quantum gases. Zbl 1157.35102Carles, Rémi; Markowich, Peter A.; Sparber, Christof 47 2008 Global existence and asymptotic behavior for a semiconductor drift-diffusion-Poisson model. Zbl 1157.35013Hao, Wu; Markowich, Peter A.; Zheng, Songmu 12 2008 The entropy dissipation method for spatially inhomogeneous reaction-diffusion-type systems. Zbl 1186.35101Di Francesco, Marco; Fellner, Klemens; Markowich, Peter A. 12 2008 Numerical simulation of the nonlinear Schrödinger equation with multidimensional periodic potentials. Zbl 1173.65341Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof 10 2008 Classical limit for semirelativistic Hartree systems. Zbl 1152.81307Aki, Gonca L.; Markowich, Peter A.; Sparber, Christof 8 2008 The Willmore functional and instabilities in the Cahn-Hilliard equation. Zbl 1154.35009Burger, Martin; Chu, Shun-Yin; Markowich, Peter A.; Schönlieb, Carola-Bibiane 3 2008 Mathematical methods and modeling of biophysical phenomena. Zbl 1155.92302Perthame, Benoit; Markowich, Peter; Zubelli, Jorge P. 2 2008 Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043Klein, Christian; Sparber, Christof; Markowich, Peter 29 2007 Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels. Zbl 1148.76047Dolbeault, Jean; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian 21 2007 A Bloch decomposition – based split-step pseudospectral method for quantum dynamics with periodic potentials. Zbl 1136.65093Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof 15 2007 Applied partial differential equations: a visual approach. Zbl 1109.35001Markowich, Peter A. 4 2007 Convergence rate of dimension reduction in Bose-Einstein condensates. Zbl 1196.82065Bao, Weizhu; Ge, Yunyi; Jaksch, Dieter; Markowich, Peter A.; Weishäupl, Rada M. 3 2007 A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations. Zbl 1151.35087Weishäuptl, Rada M.; Schmeiser, Christian; Markowich, Peter A.; Borgna, Juan Pablo 3 2007 Inverse problems for semiconductors: models and methods. Zbl 1115.82039Leitão, A.; Markowich, P. A.; Zubelli, J. P. 1 2007 Model hierarchies for cell aggregation by chemotaxis. Zbl 1094.92009Chalub, Fabio; Dolak-Struss, Yasmin; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian; Soreff, Alexander 47 2006 Quasi-neutral limit of the drift diffusion models for semiconductors: the case of general sign-changing doping profile. Zbl 1103.76070Wang, Shu; Xin, Zhouping; Markowich, Peter A. 21 2006 On inverse doping profile problems for the stationary voltage-current map. Zbl 1099.35173Leitão, A.; Markowich, P. A.; Zubelli, J. P. 6 2006 Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004Bao, Weizhu; Wang, Hanquan; Markowich, Peter A. 54 2005 A time-splitting spectral scheme for the Maxwell-Dirac system. Zbl 1070.81040Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong 43 2005 Fast conservative and entropic numerical methods for the boson Boltzmann equation. Zbl 1204.82031Markowich, Peter A.; Pareschi, Lorenzo 13 2005 On the Gross-Pitaevskii equation with strongly anisotropic confinement: formal asymptotics and numerical experiments. Zbl 1075.35073Bao, Weizhu; Markowich, Peter A.; Schmeiser, Christian; Weishäupl, Rada M. 7 2005 Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian 121 2004 Numerical simulation of a generalized Zakharov system. Zbl 1079.65101Jin, Shi; Markowich, Peter A.; Zheng, Chunxiong 33 2004 Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C. 31 2004 An analysis of quantum Fokker-Planck models: a Wigner function approach. Zbl 1062.35097Arnold, Anton; López, José L.; Markowich, Peter A.; Soler, Juan 28 2004 Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049Carles, Rémi; Markowich, Peter A.; Sparber, Christof 14 2004 Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. I: Homogeneous problems. Zbl 1079.81026Gosse, Laurent; Markowich, Peter A. 12 2004 On the long-time behavior of the quantum Fokker-Planck equation. Zbl 1061.35095Sparber, C.; Carrillo, J. A.; Dolbeault, J.; Markowich, P. A. 10 2004 Steady states for Streater’s energy-transport models of self-gravitating particles. Zbl 1044.82013Biler, Piotr; Dolbeault, Jean; Esteban, Maria J.; Markowich, Peter A.; Nadzieja, Tadeusz 8 2004 On inverse problems for semiconductor equations. Zbl 1214.82122Burger, M.; Engl, H. W.; Leitao, A.; Markowich, P. A. 6 2004 Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation. Zbl 1106.82344Bao, Weizhu; Pareschi, Lorenzo; Markowich, Peter A. 4 2004 Entropy dissipation and Wasserstein metric methods for the viscous Burgers’ equation: Convergence to diffusive waves. Zbl 1062.35111Di Francesco, Marco; Markowich, Peter A. 1 2004 Erratum: “Semiclassical asymptotics for the Maxwell-Dirac system”. Zbl 1064.81508Sparber, C.; Markowich, P. 1 2004 Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations. Zbl 1064.35215Matevosyan, Norayr; Markowich, Peter A. 1 2004 Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation. Zbl 1028.82501Bao, Weizhu; Jaksch, Dieter; Markowich, Peter A. 133 2003 Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. Zbl 1038.65099Bao, Weizhu; Jin, Shi; Markowich, Peter A. 85 2003 The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors. Zbl 1045.35088Hsiao, Ling; Markowich, Peter A.; Wang, Shu 49 2003 Wigner functions versus WKB-methods in multivalued geometrical optics. Zbl 1069.81552Sparber, Christof; Markowich, Peter A.; Mauser, Norbert J. 27 2003 Semiclassical asymptotics for the Maxwell-Dirac system. Zbl 1062.81059Sparber, C.; Markowich, P. 16 2003 On fast-diffusion equations with infinite equilibrium entropy and finite equilibrium mass. Zbl 1024.35040Lederman, Claudia; Markowich, Peter A. 15 2003 Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. Zbl 1061.35070Imaikin, Valery; Komech, Alexander; Markowich, Peter A. 10 2003 Recent progress on quantum hydrodynamic models for semiconductors. Zbl 1134.82338Jüngel, Ansgar; Li, Hailiang; Markowich, Peter A.; Wang, Shu 2 2003 On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. Zbl 1006.65112Bao, Weizhu; Jin, Shi; Markowich, Peter A. 169 2002 Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors. Zbl 1119.35310Li, Hailiang; Markowich, Peter; Mei, Ming 49 2002 A Wigner-measure analysis of the Dufort–Frankel scheme for the Schrödinger equation. Zbl 1029.65098Markowich, Peter A.; Pietra, Paola; Pohl, Carsten; Stimming, Hans Peter 24 2002 Quasi-neutral limit of a nonlinear drift diffusion model for semiconductors. Zbl 1016.82034Gasser, Ingenuin; Hsiao, Ling; Markowich, Peter A.; Wang, Shu 21 2002 Poincaré inequalities for linearizations of very fast diffusion equations. Zbl 1011.35025Carrillo, J. A.; Lederman, C.; Markowich, P. A.; Toscani, G. 17 2002 ...and 85 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,881 Authors 69 Markowich, Peter Alexander 46 Carrillo de la Plata, José Antonio 44 Bao, Weizhu 43 Winkler, Michael 39 Jüngel, Ansgar 38 Dolbeault, Jean 38 Wang, Shu 34 Jin, Shi 28 Toscani, Giuseppe 25 Bellomo, Nicola 25 Degond, Pierre 23 Arnold, Anton 23 Zhang, Kaijun 22 Sparber, Christof 21 Peng, Yuejun 21 Soler, Juan S. 21 Zheng, Jiashan 20 Cai, Yongyong 20 Perthame, Benoît 19 Li, Hailiang 19 Li, Yeping 19 Liu, Hailiang 19 Méhats, Florian 19 Xiang, Zhaoyin 17 Bal, Guillaume 17 Carles, Rémi 17 Schmeiser, Christian 16 Ben Abdallah, Naoufel 16 Feng, Binhua 16 Martínez Gamba, Irene 16 Guo, Boling 16 Klein, Christian 16 López, José Luis 16 Paul, Thierry 16 Ryzhik, Lenya 16 Tan, Zhong 16 Wolfram, Marie-Therese 15 Burger, Martin 15 Gosse, Laurent 15 Hsiao, Ling 15 Mauser, Norbert Julius 15 Mei, Ming 15 Pareschi, Lorenzo 15 Wang, Tingchun 14 Chainais-Hillairet, Claire 14 Kang, Kyungkeun 14 Marcati, Pierangelo 13 Fermanian-Kammerer, Clotilde 13 Pinaud, Olivier 13 Tang, Qinglin 13 Tao, Youshan 13 Wang, Hanquan 13 Xu, Jiang 13 Yang, Xu 13 Zhang, Qian 12 Calvez, Vincent 12 Fellner, Klemens 12 Goudon, Thierry 12 Ha, Seung-Yeal 12 Lu, Jianfeng 12 Vauchelet, Nicolas 12 Wang, Yulan 12 Yu, Huimin 11 Chen, Li 11 Di Francesco, Marco 11 Klar, Axel 11 Li, Xianggui 11 Mielke, Alexander 11 Nieto, Juanjo 11 Romano, Vittorio 11 Tang, Xianhua 11 Vazquez, Juan Luis 11 Yang, Jianwei 11 Zhou, Zhennan 11 Zweifel, Paul F. 10 Antoine, Xavier 10 Antonelli, Paolo 10 Lange, Horst 10 Liu, Chun 10 Masmoudi, Nader 10 Poupaud, Frédéric 10 Ringhofer, Christian A. 10 Sacco, Riccardo 10 Su, Chunmei 10 Titi, Edriss Saleh 10 Zhang, Guojing 9 Albi, Giacomo 9 Barletti, Luigi 9 Bellouquid, Abdelghani 9 Blanchet, Adrien 9 Chien, Cheng-Sheng 9 Duan, Renjun 9 Haskovec, Jan 9 Ju, Qiangchang 9 Lin, Chikun 9 Liu, Jianguo 9 McCann, Robert J. 9 Mohan, Manil Thankamani 9 Nier, Francis 9 Pinnau, René ...and 2,781 more Authors all top 5 Cited in 317 Serials 166 Journal of Differential Equations 146 Journal of Computational Physics 137 M\(^3\)AS. 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