Edit Profile (opens in new tab) Perthame, Benoît Co-Author Distance Author ID: perthame.benoit Published as: Perthame, Benoît; Perthame, B.; Perthame, Benoit; Perthame, Ben{ôı}t; Perthame, Benoít more...less External Links: MGP · Wikidata · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 313 Publications since 1984, including 4 Books and 9 Additional arXiv Preprints 7 Contributions as Editor · 2 Further Contributions Co-Authors: 237 Co-Authors with 287 Joint Publications 5,617 Co-Co-Authors all top 5 Co-Authors 34 single-authored 20 Souganidis, Panagiotis E. 19 Salort, Delphine 14 Lions, Pierre-Louis 13 Golse, François 12 Tang, Min 12 Vauchelet, Nicolas 10 Jabin, Pierre-Emmanuel 10 Markowich, Peter Alexander 9 Calvez, Vincent 9 Clairambault, Jean 9 Mirrahimi, Sepideh 8 Bouchut, François 8 Lorz, Alexander 7 Barles, Guy 7 Doumic, Marie 7 Mischler, Stéphane 7 Ryzhik, Lenya 6 Bardos, Claude Williams 5 Elbar, Charles 5 Le Tallec, Patrick 5 Nadin, Grégoire 5 Skrzeczkowski, Jakub 5 Tadmor, Eitan 5 Zubelli, Jorge P. 4 Bristeau, Marie-Odile 4 Carrillo de la Plata, José Antonio 4 Castella, François 4 Coquel, Frédéric 4 Corrias, Lucilla 4 Lorenzi, Tommaso 4 Qiu, Youchun 4 Sentis, Remi 4 Stevens, Angela 4 Vega, Luis 3 Andries, Pierre 3 Audusse, Emmanuel 3 Bourgat, Jean-François 3 Bournaveas, Nikolaos 3 Bubba, Federica 3 Cáceres, María-José 3 Chen, Gui-Qiang G. 3 Deslys, Jean-Philippe 3 Dou, Xu’an 3 Godlewski, Edwige 3 Katsaounis, Theodoros 3 Laurençot, Philippe 3 Lenuzza, Natacha 3 Li, Hailiang 3 Michel, Philippe 3 Mouthon, Franck 3 Pakdaman, Khashayar 3 Pulvirenti, Mario 3 Quirós Gracián, Fernando 3 Rascle, Paul 3 Ribes, Edouard 3 Schmeiser, Christian 3 Schmidtchen, Markus 3 Simeoni, Chiara 3 Taing, Cécile 3 Yasuda, Shugo 3 Zhou, Zhennan 2 Bardi, Martino 2 Bekkal-Brikci, Fadia 2 Benamou, Jean-David 2 Berestycki, Henri 2 Bouin, Emeric 2 Bourdarias, Christian 2 Cheddadi, Ibrahim 2 Ciarletta, Pasquale 2 Ciavolella, Giorgia 2 David, Noemi 2 Dębiec, Tomasz 2 Després, Bruno 2 Desvillettes, Laurent 2 DiBenedetto, Emmanuele 2 Dolbeault, Jean 2 Drasdo, Dirk 2 El Amine, Khalid 2 Escobedo Martínez, Miguel 2 Esteban, Maria J. 2 Fournier, Nicolas 2 Fu, Jingyi 2 Gasser, Ingenuin 2 Gerbeau, Jean-Frédéric 2 Gwiazda, Piotr 2 Haskovec, Jan 2 He, Qingyou 2 Herrero, Henar 2 James, François 2 Kang, Kyungkeun 2 Laurent, Pascal 2 Lucquin-Desreux, Brigitte 2 Makridakis, Charalambos G. 2 Marciniak-Czochra, Anna K. 2 Marrocco, Americo 2 Mellet, Antoine 2 Moussa, Ayman 2 Nordmann, Samuel 2 Öelz, Dietmar B. 2 Pouchol, Camille ...and 156 more Co-Authors all top 5 Serials 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Archive for Rational Mechanics and Analysis 11 Comptes Rendus de l’Académie des Sciences. Série I 9 Journal of Differential Equations 8 Communications in Mathematical Physics 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Communications in Partial Differential Equations 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Journal of Mathematical Biology 7 Nonlinearity 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 SIAM Journal on Mathematical Analysis 7 Communications in Mathematical Sciences 6 SIAM Journal on Numerical Analysis 5 Communications on Pure and Applied Mathematics 5 Asymptotic Analysis 5 Kinetic and Related Models 4 Journal of Functional Analysis 4 Chinese Annals of Mathematics. Series B 4 Mathematical and Computer Modelling 4 Mathematical Modelling of Natural Phenomena 3 Journal of Computational Physics 3 Journal of Statistical Physics 3 Mathematics of Computation 3 Bulletin of Mathematical Biology 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Transactions of the American Mathematical Society 3 Revista Matemática Iberoamericana 3 SIAM Journal on Applied Mathematics 3 Interfaces and Free Boundaries 3 Oberwolfach Reports 2 Computers & Mathematics with Applications 2 Inverse Problems 2 Mathematical Biosciences 2 Mathematical Methods in the Applied Sciences 2 Transport Theory and Statistical Physics 2 Numerische Mathematik 2 Acta Applicandae Mathematicae 2 Physica D 2 Japan Journal of Applied Mathematics 2 European Journal of Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Nonlinear Science 2 Séminaire Équations aux Dérivées Partielles 2 Methods and Applications of Analysis 2 Discrete and Continuous Dynamical Systems 2 Bulletin of the Brazilian Mathematical Society. New Series 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Series in Applied Mathematics (Paris) 2 Journal of Biological Dynamics 2 Networks and Heterogeneous Media 2 The Journal of Mathematical Neuroscience 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Analysis and Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Optimization 1 BIT 1 Calcolo 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Theoretical Population Biology 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 European Journal of Mechanics. B. Fluids 1 Applications of Mathematics 1 Geometric and Functional Analysis. GAFA 1 European Journal of Operational Research 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Advances in Mathematical Sciences and Applications 1 SIAM Journal on Scientific Computing 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of the Egyptian Mathematical Society 1 NoDEA. Nonlinear Differential Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Markov Processes and Related Fields 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Milan Journal of Mathematics 1 Mathematical Medicine and Biology 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mathematical Biosciences and Engineering 1 Lecture Notes in Mathematics 1 Oxford Lecture Series in Mathematics and its Applications 1 Series on Advances in Mathematics for Applied Sciences 1 Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore 1 Discrete and Continuous Dynamical Systems. Series S ...and 11 more Serials all top 5 Fields 246 Partial differential equations (35-XX) 145 Biology and other natural sciences (92-XX) 83 Fluid mechanics (76-XX) 57 Statistical mechanics, structure of matter (82-XX) 43 Numerical analysis (65-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 21 Integral equations (45-XX) 11 Operator theory (47-XX) 11 Probability theory and stochastic processes (60-XX) 10 Ordinary differential equations (34-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 General and overarching topics; collections (00-XX) 8 Mechanics of deformable solids (74-XX) 7 Astronomy and astrophysics (85-XX) 6 Quantum theory (81-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 4 Systems theory; control (93-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 278 Publications have been cited 9,717 times in 5,515 Documents Cited by ▼ Year ▼ Transport equations in biology. Zbl 1185.92006 Perthame, Benoît 498 2007 A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308 Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît 420 2004 Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions. Zbl 1112.35023 Blanchet, Adrien; Dolbeault, Jean; Perthame, Benoit 319 2006 Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system. Zbl 0741.35061 Lions, P. L.; Perthame, B. 282 1991 A kinetic formulation of multidimensional scalar conservation laws and related equations. Zbl 0820.35094 Lions, P. L.; Perthame, B.; Tadmor, E. 238 1994 Regularity of the moments of the solution of a transport equation. Zbl 0652.47031 Golse, François; Lions, Pierre-Louis; Perthame, Benoît; Sentis, Rémi 221 1988 Global solutions of some chemotaxis and angiogenesis system in high space dimension. Zbl 1115.35136 Corrias, L.; Perthame, Benoît; Zaag, H. 195 2004 Kinetic formulation of the isentropic gas dynamics and \(p\)-systems. Zbl 0799.35151 Lions, P. L.; Perthame, B.; Tadmor, E. 182 1994 Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates. Zbl 0853.76077 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 171 1996 Kinetic formulation of conservation laws. Zbl 1030.35002 Perthame, Benoît 164 2002 Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation. Zbl 0997.76023 Gerbeau, J.-F.; Perthame, B. 164 2001 The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088 Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya 154 2009 A kinetic scheme for the Saint-Venant system with a source term. Zbl 1008.65066 Perthame, B.; Simeoni, C. 137 2001 Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\). Zbl 1056.35076 Dolbeault, Jean; Perthame, Benoît 132 2004 General relative entropy inequality: an illustration on growth models. Zbl 1085.35042 Michel, Philippe; Mischler, Stéphane; Perthame, Benoît 130 2005 Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005 Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian 127 2004 The dynamics of adaptation: An illuminating example and a Hamilton–Jacobi approach. Zbl 1072.92035 Diekmann, Odo; Jabin, Pierre-Emanuel; Mischler, Stéphane; Perthame, Benoît 117 2005 The Gaussian-BGK model of Boltzmann equation with small Prandtl number. Zbl 0967.76082 Andries, Pierre; Le Tallec, Patrick; Perlat, Jean-Philippe; Perthame, Benoît 114 2000 On positivity preserving finite volume schemes for Euler equations. Zbl 0857.76062 Perthame, Benoit; Shu, Chi-Wang 111 1996 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048 Bouchut, François; Golse, François; Pulvirenti, Mario 108 2000 Discontinuous solutions of deterministic optimal stopping time problems. Zbl 0629.49017 Barles, G.; Perthame, B. 107 1987 Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1031.35077 Chen, Gui-Qiang; Perthame, Benoît 106 2003 Exit time problems in optimal control and vanishing viscosity method. Zbl 0674.49027 Barles, G.; Perthame, B. 105 1988 The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347 Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis 96 2014 A consistent BGK-type model for gas mixtures. Zbl 1001.82093 Andries, Pierre; Aoki, Kazuo; Perthame, Benoit 96 2002 Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014 Filbet, Francis; Laurençot, Philippe; Perthame, Benoît 92 2005 Parabolic equations in biology. Growth, reaction, movement and diffusion. Zbl 1333.35001 Perthame, Benoît 91 2015 Global existence to the BGK model of Boltzmann equation. Zbl 0694.35134 Perthame, B. 90 1989 Second-order Boltzmann schemes for compressible Euler equations in one and two space dimensions. Zbl 0744.76088 Perthame, B. 81 1992 Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113 Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît 78 2011 Dirac concentrations in Lotka-Volterra parabolic PDEs. Zbl 1172.35005 Perthame, Benoit; Barles, Guy 74 2008 Relaxation of energy and approximate Riemann solvers for general pressure laws in fluid dynamics. Zbl 0960.76051 Coquel, Frédéric; Perthame, Benoît 72 1998 A Fourier spectral method for homogeneous Boltzmann equations. Zbl 0870.76074 Pareschi, Lorenzo; Perthame, Benoit 71 1996 Un résultat de compacité pour les équations de transport et application au calcul de la limite de la valeur propre principale d’un opérateur de transport. (A compactness result for transport equations and application to the calculus of the limit of the principal eigenvalue of a transport operator). Zbl 0591.45007 Golse, François; Perthame, Benoît; Sentis, Rémi 71 1985 Exponential decay for the fragmentation or cell-division equation. Zbl 1072.35195 Perthame, Benoît; Ryzhik, Lenya 71 2005 Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069 Bouchut, F.; Perthame, B. 69 1998 Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198 Cáceres, María J.; Carrillo, José A.; Perthame, Benoît 69 2011 PDE models for chemotactic movements: parabolic, hyperbolic and kinetic. Zbl 1099.35157 Perthame, Benoît 67 2004 The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation. Zbl 0655.35075 Bardos, C.; Golse, F.; Perthame, B.; Sentis, R. 67 1988 A chemotaxis model motivated by angiogenesis. Zbl 1028.35062 Corrias, L.; Perthame, B.; Zaag, H. 66 2003 Boltzmann type schemes for gas dynamics and the entropy property. Zbl 0714.76078 Perthame, B. 64 1990 Gelation in coagulation and fragmentation models. Zbl 1016.82027 Escobedo, M.; Mischler, S.; Perthame, B. 63 2002 Microreversible collisions for polyatomic gases and Boltzmann’s theorem. Zbl 0807.76067 Bourgat, J.-F.; Desvillettes, L.; Le Tallec, P.; Perthame, B. 62 1994 A kinetic equation with kinetic entropy functions for scalar conservation laws. Zbl 0729.76070 Perthame, Benoit; Tadmor, Eitan 62 1991 Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027 Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît 61 2009 Time decay, propagation of low moments and dispersive effects for kinetic equations. Zbl 0852.35139 Perthame, B. 59 1996 Numerical passage from kinetic to fluid equations. Zbl 0718.76086 Coron, F.; Perthame, B. 59 1991 Morrey-Campanato estimates for Helmholtz equations. Zbl 0932.35048 Perthame, Benoit; Vega, Luis 58 1999 Equilibrium schemes for scalar conservation laws with stiff sources. Zbl 1017.65070 Botchorishvili, Ramaz; Perthame, Benoit; Vasseur, Alexis 58 2003 On a boundary layer problem for the nonlinear Boltzmann equation. Zbl 0668.76089 Golse, Francois; Perthame, Benoit; Sulem, Catherine 57 1988 Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies. Zbl 1071.35079 Audusse, Emmanuel; Perthame, Benoît 56 2005 A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation. Zbl 1290.35194 Audusse, Emmanuel; Bristeau, Marie-Odile; Perthame, Benoît; Sainte-Marie, Jacques 55 2011 Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors. Zbl 1334.92204 Lorz, Alexander; Lorenzi, Tommaso; Clairambault, Jean; Escargueil, Alexandre; Perthame, Benoît 54 2015 A limiting case for velocity averaging. Zbl 0956.45010 Perthame, B.; Souganidis, P. E. 53 1998 Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration. Zbl 1253.35186 Bouin, Emeric; Calvez, Vincent; Meunier, Nicolas; Mirrahimi, Sepideh; Perthame, Benoît; Raoul, Gaël; Voituriez, Raphaël 53 2012 Gelation and mass conservation in coagulation-fragmentation models. Zbl 1133.82316 Escobedo, M.; Laurençot, Ph.; Mischler, S.; Perthame, B. 53 2003 Weighted \(L^ \infty\) bounds and uniqueness for the Boltzmann BGK model. Zbl 0786.76072 Perthame, B.; Pulvirenti, M. 53 1993 Dynamics of a structured neuron population. Zbl 1267.35239 Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 51 2010 Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025 Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît 51 2013 On spherical symmetry solutions of the Euler-Poisson equation for the evolution of gaseous stars. (Sur les solutions à symmétrie sphérique de l’équation d’Euler-Poisson pour l’évolution d’étoiles gazeuses.) Zbl 0743.35048 Makino, Tetu; Perthame, Benoît 50 1990 A numerical method using upwind schemes for the resolution of two-phase flows. Zbl 0893.76052 Coquel, F.; El Amine, K.; Godlewski, E.; Perthame, B.; Rascle, P. 50 1997 Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure. Zbl 0919.35088 Perthame, B. 49 1998 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 45 2013 Mathematical tools for kinetic equations. Zbl 1151.82351 Perthame, Benoît 44 2004 Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases. Zbl 1101.76377 Andries, Pierre; Bourgat, Jean-François; le Tallec, Patrick; Perthame, Benoit 42 2002 Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations. Zbl 0691.49028 Barles, G.; Perthame, B. 40 1990 Existence of solutions of the hyperbolic Keller-Segel model. Zbl 1180.35343 Perthame, Benoît; Dalibard, Anne-Laure 40 2009 General entropy equations for structured population models and scattering. Zbl 1049.35070 Michel, Philippe; Mischler, Stéphane; Perthame, Benoît 40 2004 A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows. Zbl 1044.35056 Bouchut, François; Mangeney-Castelnau, Anne; Perthame, Benoît; Vilotte, Jean-Pierre 39 2003 Relaxation and self-sustained oscillations in the time elapsed neuron network model. Zbl 1278.82046 Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 38 2013 A Hele-Shaw problem for tumor growth. Zbl 1377.35245 Mellet, Antoine; Perthame, Benoît; Quirós, Fernando 38 2017 A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091 Bouchut, F.; Bourdarias, Ch.; Perthame, B. 38 1996 Strichartz’ estimates for kinetic transport equations. (Estimations de Strichartz pour les équations de transport cinétique.) Zbl 0848.35095 Castella, François; Perthame, Benoît 37 1996 Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459 Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya 37 2008 Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces. Zbl 1134.92006 Corrias, Lucilla; Perthame, Benoît 35 2008 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 35 2014 Non-existence of global solutions to Euler-Poisson equations for repulsive forces. Zbl 0717.35049 Perthame, Benoît 35 1990 Incompressible limit of a mechanical model of tumour growth with viscosity. Zbl 1353.35294 Perthame, Benoît; Vauchelet, Nicolas 35 2015 Regularity and propagation of moments in some nonlinear Vlasov systems. Zbl 0984.35102 Gasser, I.; Jabin, P.-E.; Perthame, B. 34 2000 Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038 Nadin, Grégoire; Perthame, Benoît; Tang, Min 34 2011 Concentration in the nonlocal Fisher equation: the Hamilton-Jacobi limit. Zbl 1337.35077 Perthame, Benoît; Génieys, Stephane 34 2007 Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038 Laurençot, Philippe; Perthame, Benoit 34 2009 Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics. Zbl 1137.49027 Barles, Guy; Perthame, Benoît 33 2007 Stability in a nonlinear population maturation model. Zbl 1020.92025 Mischler, Stéphane; Perthame, Benoît; Ryzhik, Lenya 33 2002 Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience. Zbl 1336.35332 Carrillo, José Antonio; Perthame, Benoît; Salort, Delphine; Smets, Didier 32 2015 The Rosseland approximation for the radiative transfer equations. Zbl 0654.65095 Bardos, C.; Golse, F.; Perthame, B. 32 1987 Some new Godunov and relaxation methods for two-phase flow problems. Zbl 1064.76545 Coquel, F.; Godlewski, E.; Perthame, B.; In, A.; Rascle, P. 31 2001 Remarks on Hamilton-Jacobi equations with measurable time-dependent Hamiltonians. Zbl 0688.35052 Lions, P. L.; Perthame, B. 31 1987 Line-energy Ginzburg-Landau models: zero-energy states. Zbl 1072.35051 Otto, Felix; Jabin, Pierre-Emmanuel; Perthame, Benoît 30 2002 Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation. Zbl 1333.92009 Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 30 2014 An age-and-cyclin-structured cell population model for healthy and tumoral tissues. Zbl 1148.92014 Brikci, Fadia Bekkal; Clairambault, Jean; Ribba, Benjamin; Perthame, Benoît 30 2008 A structured population model of cell differentiation. Zbl 1235.35030 Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P. 30 2011 Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189 Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M. 30 2021 Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066 Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B. 29 2013 Coupling Boltzmann and Euler equations without overlapping. Zbl 0796.76063 Bourgat, J. F.; Le Tallec, P.; Perthame, B.; Qiu, Y. 29 1994 Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120 Haskovec, Jan; Markowich, Peter; Perthame, Benoit 29 2015 Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039 Calvez, V.; Lenuzza, N.; Doumic, M.; Deslys, J.-P.; Mouthon, F.; Perthame, B. 28 2010 Optimal regularizing effect for scalar conservation laws. Zbl 1288.35343 Golse, François; Perthame, Benoît 27 2013 Maximum principle on the entropy and second-order kinetic schemes. Zbl 0795.35085 Khobalatte, Brahim; Perthame, Benoit 27 1994 Generalized solutions of the radiative transfer equations in a singular case. Zbl 0614.35084 Golse, F.; Perthame, B. 27 1986 Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion. Zbl 1534.35405 Doumic, Marie; Hecht, Sophie; Perthame, Benoît; Peurichard, Diane 1 2024 From Vlasov equation to degenerate nonlocal Cahn-Hilliard equation. Zbl 1522.35506 Elbar, Charles; Mason, Marco; Perthame, Benoît; Skrzeczkowski, Jakub 5 2023 Incompressible limits of the Patlak-Keller-Segel model and its stationary state. Zbl 1530.35081 He, Qingyou; Li, Hai-Liang; Perthame, Benoît 4 2023 Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience. Zbl 1518.35161 Dou, Xu’an; Perthame, Benoît; Salort, Delphine; Zhou, Zhennan 4 2023 Convergence rate for the incompressible limit of nonlinear diffusion-advection equations. Zbl 1519.35038 David, Noemi; Dębiec, Tomasz; Perthame, Benoît 4 2023 A Hamilton-Jacobi approach to evolution of dispersal. Zbl 1510.35026 Lam, King-Yeung; Lou, Yuan; Perthame, Benoît 3 2023 Fast reaction limit with nonmonotone reaction function. Zbl 1525.35017 Perthame, Benoît; Skrzeczkowski, Jakub 3 2023 Confined run-and-tumble model with boundary aggregation: long-time behavior and convergence to the confined Fokker-Planck model. Zbl 1529.35532 Fu, Jingyi; Liang, Jiuyang; Perthame, Benoit; Tang, Min; Zhong, Chuhan 1 2023 The Aronson-Bénilan estimate in Lebesgue spaces. Zbl 1518.35157 Bevilacqua, Giulia; Perthame, Benoît; Schmidtchen, Markus 1 2023 A multiple time renewal equation for neural assemblies with elapsed time model. Zbl 1501.35398 Torres, Nicolás; Perthame, Benoît; Salort, Delphine 5 2022 Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model. Zbl 1507.35038 Elbar, Charles; Perthame, Benoît; Poulain, Alexandre 4 2022 Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility. Zbl 1507.35300 Lorenzi, T.; Perthame, B.; Ruan, X. 3 2022 Motility switching and front-back synchronisation in polarised cells. Zbl 1496.37091 Estrada-Rodriguez, Gissell; Perthame, Benoit 1 2022 A coupled 3D-1D multiscale Keller-Segel model of chemotaxis and its application to cancer invasion. Zbl 1501.92006 Bubba, Federica; Perthame, Benoit; Cerroni, Daniele; Ciarletta, Pasquale; Zunino, Paolo 1 2022 An asymptotic preserving scheme for capturing concentrations in age-structured models arising in adaptive dynamics. Zbl 07540368 Almeida, Luis; Perthame, Benoît; Ruan, Xinran 1 2022 Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189 Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M. 30 2021 Free boundary limit of a tumor growth model with nutrient. Zbl 1478.35210 David, Noemi; Perthame, Benoît 22 2021 Incompressible limit for a two-species model with coupling through Brinkman’s law in any dimension. Zbl 1458.35421 Dębiec, Tomasz; Perthame, Benoît; Schmidtchen, Markus; Vauchelet, Nicolas 14 2021 Existence of a global weak solution for a reaction-diffusion problem with membrane conditions. Zbl 1470.35179 Ciavolella, Giorgia; Perthame, Benoît 9 2021 Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility. Zbl 1504.35076 Perthame, Benoît; Poulain, Alexandre 7 2021 Final size and convergence rate for an epidemic in heterogeneous populations. Zbl 1473.92034 Almeida, Luis; Bliman, Pierre-Alexandre; Nadin, Grégoire; Perthame, Benoît; Vauchelet, Nicolas 6 2021 An elapsed time model for strongly coupled inhibitory and excitatory neural networks. Zbl 1484.35274 Torres, Nicolás; Cáceres, María J.; Perthame, Benoît; Salort, Delphine 4 2021 A nonexpanding transport distance for some structured equations. Zbl 1480.35072 Fournier, Nicolas; Perthame, Benoît 4 2021 Fokker-Plank system for movement of micro-organism population in confined environment. Zbl 1472.35388 Fu, Jingyi; Perthame, Benoit; Tang, Min 3 2021 Sharp long-time asymptotics for chemotaxis with free boundary. Zbl 1467.35053 Li, Hai-Liang; Perthame, Benoít; Wen, Xinmei 3 2021 Fast voltage dynamics of voltage-conductance models for neural networks. Zbl 1466.35350 Kim, Jeongho; Perthame, Benoît; Salort, Delphine 2 2021 Dynamics of concentration in a population structured by age and a phenotypic trait with mutations. Convergence of the corrector. Zbl 1466.35018 Nordmann, Samuel; Perthame, Benoît 1 2021 Hele-Shaw limit for a system of two reaction-(Cross-)diffusion equations for living tissues. Zbl 1435.35390 Bubba, Federica; Perthame, Benoît; Pouchol, Camille; Schmidtchen, Markus 25 2020 The flux limited Keller-Segel system; properties and derivation from kinetic equations. Zbl 1441.35056 Perthame, Benoît; Vauchelet, Nicolas; Wang, Zhian 17 2020 Transport distances for PDEs: the coupling method. Zbl 1459.35037 Fournier, Nicolas; Perthame, Benoît 9 2020 Multiple asymptotics of kinetic equations with internal states. Zbl 1450.35034 Perthame, Benoit; Sun, Weiran; Tang, Min; Yasuda, Shugo 7 2020 Reaction-diffusion systems with initial data of low regularity. Zbl 1448.35291 Laamri, El-Haj; Perthame, Benoît 6 2020 A two-species hyperbolic-parabolic model of tissue growth. Zbl 1425.35198 Gwiazda, Piotr; Perthame, Benoît; Świerczewska-Gwiazda, Agnieszka 26 2019 Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations. Zbl 1423.35177 Almeida, Luis; Bubba, Federica; Perthame, Benoît; Pouchol, Camille 19 2019 Backward parabolicity, cross-diffusion and Turing instability. Zbl 1411.35165 Moussa, Ayman; Perthame, Benoît; Salort, Delphine 9 2019 Derivation of a voltage density equation from a voltage-conductance kinetic model for networks of integrate-and-fire neurons. Zbl 1433.35429 Perthame, Benoît; Salort, Delphine 7 2019 Implicit and semi-implicit numerical schemes for the gradient flow of the formation of biological transport networks. Zbl 1437.65095 Fang, Di; Jin, Shi; Markowich, Peter; Perthame, Benoît 6 2019 Adaptive dynamics of hematopoietic stem cells and their supporting stroma: a model and mathematical analysis. Zbl 1497.92082 Nguyen, Thanh Nam; Clairambault, Jean; Jaffredo, Thierry; Perthame, Benoît; Salort, Delphine 3 2019 Oscillatory regimes in a mosquito population model with larval feedback on egg hatching. Zbl 1448.92251 Strugarek, Martin; Dufour, Laetitia; Vauchelet, Nicolas; Almeida, Luis; Perthame, Benoît; Villela, Daniel A. M. 2 2019 Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller-Segel equation. Zbl 1397.92101 Perthame, Benoît; Yasuda, Shugo 20 2018 Traveling wave and aggregation in a flux-limited Keller-Segel model. Zbl 1405.92030 Calvez, Vincent; Perthame, Benoît; Yasuda, Shugo 18 2018 Dynamics of concentration in a population model structured by age and a phenotypical trait. Zbl 1398.35251 Nordmann, Samuel; Perthame, Benoît; Taing, Cécile 11 2018 The fractional diffusion limit of a kinetic model with biochemical pathway. Zbl 1395.35015 Perthame, Benoît; Sun, Weiran; Tang, Min 11 2018 Long-time asymptotics for polymerization models. Zbl 1400.82316 Calvo, Juan; Doumic, Marie; Perthame, Benoît 10 2018 Super-linear propagation for a general, local cane toads model. Zbl 1407.35112 Henderson, Christopher; Perthame, Benoît; Souganidis, Panagiotis E. 4 2018 Analysis of a system describing proliferative-quiescent cell dynamics. Zbl 1390.37143 Clairambault, Jean; Perthame, Benoît; Maran, Andrada Quillas 1 2018 A Hele-Shaw problem for tumor growth. Zbl 1377.35245 Mellet, Antoine; Perthame, Benoît; Quirós, Fernando 38 2017 On interfaces between cell populations with different mobilities. Zbl 1359.35204 Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît 21 2017 Distributed synaptic weights in a LIF neural network and learning rules. Zbl 1378.92006 Perthame, Benoît; Salort, Delphine; Wainrib, Gilles 6 2017 Toward an integrated workforce planning framework using structured equations. Zbl 1403.90462 Doumic, Marie; Perthame, Benoît; Ribes, Edouard; Salort, Delphine; Toubiana, Nathan 1 2017 Notes on a PDE system for biological network formation. Zbl 1334.35101 Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias 25 2016 Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway. Zbl 1358.35207 Perthame, Benoît; Tang, Min; Vauchelet, Nicolas 21 2016 Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027 Perthame, Benoit; Souganidis, P. E. 21 2016 Uncertainty propagation; intrusive kinetic formulations of scalar conservation laws. Zbl 1362.35342 Despres, Bruno; Perthame, Benoit 19 2016 Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360 Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E. 11 2016 Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes. Zbl 1345.60069 Gess, Benjamin; Perthame, Benoît; Souganidis, Panagiotis E. 9 2016 Parabolic equations in biology. Growth, reaction, movement and diffusion. Zbl 1333.35001 Perthame, Benoît 91 2015 Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors. Zbl 1334.92204 Lorz, Alexander; Lorenzi, Tommaso; Clairambault, Jean; Escargueil, Alexandre; Perthame, Benoît 54 2015 Incompressible limit of a mechanical model of tumour growth with viscosity. Zbl 1353.35294 Perthame, Benoît; Vauchelet, Nicolas 35 2015 Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience. Zbl 1336.35332 Carrillo, José Antonio; Perthame, Benoît; Salort, Delphine; Smets, Didier 32 2015 Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120 Haskovec, Jan; Markowich, Peter; Perthame, Benoit 29 2015 Asymptotic analysis of a selection model with space. Zbl 1327.35011 Mirrahimi, Sepideh; Perthame, Benoît 25 2015 Time fluctuations in a population model of adaptive dynamics. Zbl 1312.35011 Mirrahimi, Sepideh; Perthame, Benoît; Souganidis, Panagiotis E. 10 2015 Data assimilation for hyperbolic conservation laws: a Luenberger observer approach based on a kinetic description. Zbl 1329.35195 Boulanger, Anne-Celine; Moireau, Philippe; Perthame, Benoît; Sainte-Marie, Jacques 8 2015 Dynamics of time elapsed inhomogeneous neuron network model. (Dynamique de réseaux de neurones inhomogènes structurés en âge.) Zbl 1337.92014 Kang, Moon-Jin; Perthame, Benoît; Salort, Delphine 4 2015 A simple derivation of BV bounds for inhomogeneous relaxation systems. Zbl 1316.35183 Perthame, Benoît; Seguin, Nicolas; Tournus, Magali 4 2015 Competition and boundary formation in heterogeneous media: application to neuronal differentiation. Zbl 1325.35237 Perthame, Benoît; Quiñinao, Cristóbal; Touboul, Jonathan 2 2015 Transversal instability for the thermodiffusive reaction-diffusion system. Zbl 1328.35097 Kowalczyk, Michal; Perthame, Benoît; Vauchelet, Nicolas 1 2015 The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347 Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis 96 2014 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 35 2014 Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation. Zbl 1333.92009 Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 30 2014 Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient. Zbl 1366.92065 Perthame, Benoît; Tang, Min; Vauchelet, Nicolas 26 2014 Derivation of a Hele-Shaw type system from a cell model with active motion. Zbl 1325.35092 Perthame, Benoît; Quirós, Fernando; Tang, Min; Vauchelet, Nicholas 23 2014 Beyond blow-up in excitatory integrate and fire neuronal networks: refractory period and spontaneous activity. Zbl 1412.92001 Cáceres, María J.; Perthame, Benoît 19 2014 Direct competition results from strong competition for limited resource. Zbl 1293.35346 Mirrahimi, Sepideh; Perthame, Benoît; Wakano, Joe Yuichiro 11 2014 Some mathematical aspects of tumor growth and therapy. Zbl 1373.35322 Perthame, Benoît 8 2014 Long-term behaviour of phenotypically structured models. Zbl 1371.92087 Lorz, Alexander; Perthame, Benoît 5 2014 Composite waves for a cell population system modeling tumor growth and invasion. Zbl 1321.35249 Tang, Min; Vauchelet, Nicolas; Cheddadi, Ibrahim; Vignon-Clementel, Irene; Drasdo, Dirk; Perthame, Benoît 5 2014 Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025 Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît 51 2013 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 45 2013 Relaxation and self-sustained oscillations in the time elapsed neuron network model. Zbl 1278.82046 Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 38 2013 Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066 Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B. 29 2013 Optimal regularizing effect for scalar conservation laws. Zbl 1288.35343 Golse, François; Perthame, Benoît 27 2013 Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 19 2013 On a voltage-conductance kinetic system for integrate & fire neural networks. Zbl 1284.35103 Perthame, Benoît; Salort, Delphine 18 2013 Composite waves for a cell population system modeling tumor growth and invasion. Zbl 1346.92017 Tang, Min; Vauchelet, Nicolas; Cheddadi, Ibrahim; Vignon-Clementel, Irene; Drasdo, Dirk; Perthame, Benoît 10 2013 Nonlinear stability of a Vlasov equation for magnetic plasmas. Zbl 1262.35197 Charles, Frédérique; Després, Bruno; Perthame, Benoît; Sentis, Rémis 4 2013 Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration. Zbl 1253.35186 Bouin, Emeric; Calvez, Vincent; Meunier, Nicolas; Mirrahimi, Sepideh; Perthame, Benoît; Raoul, Gaël; Voituriez, Raphaël 53 2012 Evolution of species trait through resource competition. Zbl 1279.92060 Mirrahimi, Sepideh; Perthame, Benoît; Wakano, Joe Yuichiro 20 2012 Regularization in Keller-Segel type systems and the De Giorgi method. Zbl 1288.35146 Perthame, Benoît; Vasseur, Alexis 12 2012 A singular Hamilton-Jacobi equation modeling the tail problem. Zbl 1280.35007 Mirrahimi, Sepideh; Barles, Guy; Perthame, Benoît; Souganidis, Panagiotis E. 6 2012 Analysis of a simplified model of the urine concentration mechanism. Zbl 1262.35204 Tournus, Magali; Edwards, Aurélie; Seguin, Nicolas; Perthame, Benoît 4 2012 Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113 Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît 78 2011 Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198 Cáceres, María J.; Carrillo, José A.; Perthame, Benoît 69 2011 A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation. Zbl 1290.35194 Audusse, Emmanuel; Bristeau, Marie-Odile; Perthame, Benoît; Sainte-Marie, Jacques 55 2011 Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038 Nadin, Grégoire; Perthame, Benoît; Tang, Min 34 2011 A structured population model of cell differentiation. Zbl 1235.35030 Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P. 30 2011 Travelling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities. Zbl 1223.35102 Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas 21 2011 Population formulation of adaptative meso-evolution: theory and numerics. Zbl 1379.92052 Mirrahimi, Sepideh; Perthame, Benoît; Bouin, Emeric; Millien, Pierre 10 2011 Waves for a hyperbolic Keller–Segel model and branching instabilities. Zbl 1221.35088 Cerreti, Fiammetta; Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas 9 2011 ...and 178 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,263 Authors 157 Perthame, Benoît 75 Carrillo de la Plata, José Antonio 48 Winkler, Michael 42 Zhang, Xianwen 38 Calvez, Vincent 38 Jabin, Pierre-Emmanuel 36 Pareschi, Lorenzo 35 Bouchut, François 35 Fernández-Nieto, Enrique Domingo 35 Liu, Jianguo 34 Berthon, Christophe 33 Chen, Gui-Qiang G. 33 Shu, Chi-Wang 33 Vauchelet, Nicolas 32 Lu, Yunguang 32 Yun, Seok-Bae 31 Jin, Shi 31 Kurganov, Alexander 31 Lorenzi, Tommaso 30 Goudon, Thierry 29 Bellomo, Nicola 28 Degond, Pierre 28 Karlsen, Kenneth Hvistendahl 28 Laurençot, Philippe 27 Wang, Zhian 26 Souganidis, Panagiotis E. 25 Mai Duc Thanh 24 Gess, Benjamin 24 Parés Madroñal, Carlos 23 Huang, Feimin 23 Masmoudi, Nader 23 Mischler, Stéphane 22 Chalons, Christophe 22 Klingenberg, Christian 22 Mirrahimi, Sepideh 22 Zhan, Huashui 21 Filbet, Francis 21 Golse, François 21 Gwiazda, Piotr 21 Morales de Luna, Tomás 21 Rein, Gerhard 21 Tao, Youshan 21 Xing, Yulong 21 Yang, Tong 20 Brull, Stephane 20 Dimarco, Giacomo 20 Ducomet, Bernard 20 Hu, Jingwei 20 Mangeney, Anne 20 Markowich, Peter Alexander 20 Ruggeri, Tommaso 20 Velázquez, Juan J. L. 20 Volpert, Vitaly A. 19 Bisi, Marzia 19 Doumic, Marie 19 Martínez Gamba, Irene 19 Hérard, Jean-Marc 19 Lions, Pierre-Louis 19 Popov, Boyan 18 Colombo, Rinaldo M. 18 Kim, Inwon Christina 18 Liu, Hailiang 18 Natalini, Roberto 18 Salort, Delphine 17 Barles, Guy 17 Bresch, Didier 17 Castro-Díaz, Manuel Jesús 17 Chen, Li 17 Choi, Young-Pil 17 Desvillettes, Laurent 17 Gabriel, Pierre 17 Gosse, Laurent 17 Henderson, Christopher 17 Jüngel, Ansgar 17 Li, Hailiang 17 Mieussens, Luc 17 Schmeiser, Christian 17 Tadmor, Eitan 17 Tang, Min 17 Vougalter, Vitali 16 Andreianov, Boris 16 Bouin, Emeric 16 Castro, Manuel J. 16 Delitala, Marcello Edoardo 16 Guermond, Jean-Luc 16 Ha, Seung-Yeal 16 Lam, King-Yeung 16 Li, Gang 16 Nečasová, Šárka 16 Schaeffer, Jack W. 16 Soler, Juan S. 15 Audusse, Emmanuel 15 Chertock, Alina E. 15 Clairambault, Jean 15 Dong, Jian 15 Escobedo Martínez, Miguel 15 Frid, Hermano 15 Puppo, Gabriella 15 Risebro, Nils Henrik 15 Saint-Raymond, Laure ...and 5,163 more Authors all top 5 Cited in 435 Serials 347 Journal of Computational Physics 267 Journal of Differential Equations 160 M\(^3\)AS. 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Analysis and Computations 10 Advances in Mathematics 10 Mathematische Nachrichten 10 Continuum Mechanics and Thermodynamics 10 Advances in Computational Mathematics 10 Analysis & PDE ...and 335 more Serials all top 5 Cited in 51 Fields 3,984 Partial differential equations (35-XX) 1,846 Fluid mechanics (76-XX) 1,551 Biology and other natural sciences (92-XX) 1,206 Numerical analysis (65-XX) 934 Statistical mechanics, structure of matter (82-XX) 376 Probability theory and stochastic processes (60-XX) 263 Integral equations (45-XX) 252 Calculus of variations and optimal control; optimization (49-XX) 182 Operator theory (47-XX) 172 Ordinary differential equations (34-XX) 134 Dynamical systems and ergodic theory (37-XX) 119 Geophysics (86-XX) 114 Optics, electromagnetic theory (78-XX) 110 Systems theory; control (93-XX) 96 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 90 Classical thermodynamics, heat transfer (80-XX) 85 Mechanics of deformable solids (74-XX) 79 Astronomy and astrophysics (85-XX) 58 Quantum theory (81-XX) 54 Operations research, mathematical programming (90-XX) 50 Functional analysis (46-XX) 49 Relativity and gravitational theory (83-XX) 45 Mechanics of particles and systems (70-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 34 Statistics (62-XX) 28 Real functions (26-XX) 27 Global analysis, analysis on manifolds (58-XX) 26 Computer science (68-XX) 23 Differential geometry (53-XX) 19 General and overarching topics; collections (00-XX) 16 Measure and integration (28-XX) 13 Approximations and expansions (41-XX) 11 Integral transforms, operational calculus (44-XX) 7 Functions of a complex variable (30-XX) 7 Information and communication theory, circuits (94-XX) 6 Combinatorics (05-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Special functions (33-XX) 5 Difference and functional equations (39-XX) 5 General topology (54-XX) 5 Mathematics education (97-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Potential theory (31-XX) 2 Topological groups, Lie groups (22-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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