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 Documents Indexed: 311 Publications since 1984, including 4 Books and 11 Additional arXiv Preprints 7 Contributions as Editor · 2 Further Contributions Co-Authors: 235 Co-Authors with 285 Joint Publications 5,459 Co-Co-Authors all top 5 Co-Authors 34 single-authored 20 Souganidis, Panagiotis E. 18 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 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 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 Qiu, Youchun 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 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 Dou, Xu’an 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 Pouchol, Camille 2 Poulain, Alexandre 2 Ruan, Xinran ...and 153 more Co-Authors all top 5 Serials 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Comptes Rendus de l’Académie des Sciences. Série I 10 Archive for Rational Mechanics and Analysis 9 Journal of Differential Equations 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 Communications in Mathematical Physics 7 Journal of Mathematical Biology 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 SIAM Journal on Mathematical Analysis 7 Communications in Mathematical Sciences 6 Nonlinearity 6 SIAM Journal on Numerical Analysis 5 Communications on Pure and Applied Mathematics 5 Asymptotic Analysis 4 Journal of Functional Analysis 4 Chinese Annals of Mathematics. Series B 4 Mathematical and Computer Modelling 4 Mathematical Modelling of Natural Phenomena 4 Kinetic and Related Models 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 244 Partial differential equations (35-XX) 143 Biology and other natural sciences (92-XX) 83 Fluid mechanics (76-XX) 55 Statistical mechanics, structure of matter (82-XX) 43 Numerical analysis (65-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 20 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 270 Publications have been cited 8,907 times in 5,039 Documents Cited by ▼ Year ▼ Transport equations in biology. Zbl 1185.92006 Perthame, Benoît 414 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 381 2004 Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system. Zbl 0741.35061 Lions, P. L.; Perthame, B. 265 1991 Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions. Zbl 1112.35023 Blanchet, Adrien; Dolbeault, Jean; Perthame, Benoit 255 2006 A kinetic formulation of multidimensional scalar conservation laws and related equations. Zbl 0820.35094 Lions, P. L.; Perthame, B.; Tadmor, E. 223 1994 Regularity of the moments of the solution of a transport equation. Zbl 0652.47031 Golse, François; Lions, Pierre-Louis; Perthame, Benoît; Sentis, Rémi 219 1988 Global solutions of some chemotaxis and angiogenesis system in high space dimension. Zbl 1115.35136 Corrias, L.; Perthame, Benoît; Zaag, H. 186 2004 Kinetic formulation of the isentropic gas dynamics and \(p\)-systems. Zbl 0799.35151 Lions, P. L.; Perthame, B.; Tadmor, E. 173 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. 163 1996 Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation. Zbl 0997.76023 Gerbeau, J.-F.; Perthame, B. 147 2001 Kinetic formulation of conservation laws. Zbl 1030.35002 Perthame, Benoît 143 2002 The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088 Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya 137 2009 A kinetic scheme for the Saint-Venant system with a source term. Zbl 1008.65066 Perthame, B.; Simeoni, C. 136 2001 Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005 Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian 134 2004 General relative entropy inequality: an illustration on growth models. Zbl 1085.35042 Michel, Philippe; Mischler, Stéphane; Perthame, Benoît 124 2005 Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\). Zbl 1056.35076 Dolbeault, Jean; Perthame, Benoît 119 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 113 2005 Discontinuous solutions of deterministic optimal stopping time problems. Zbl 0629.49017 Barles, G.; Perthame, B. 104 1987 Exit time problems in optimal control and vanishing viscosity method. Zbl 0674.49027 Barles, G.; Perthame, B. 101 1988 Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1031.35077 Chen, Gui-Qiang; Perthame, Benoît 100 2003 The Gaussian-BGK model of Boltzmann equation with small Prandtl number. Zbl 0967.76082 Andries, Pierre; Le Tallec, Patrick; Perlat, Jean-Philippe; Perthame, Benoît 99 2000 On positivity preserving finite volume schemes for Euler equations. Zbl 0857.76062 Perthame, Benoit; Shu, Chi-Wang 99 1996 Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014 Filbet, Francis; Laurençot, Philippe; Perthame, Benoît 90 2005 Global existence to the BGK model of Boltzmann equation. Zbl 0694.35134 Perthame, B. 83 1989 The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347 Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis 82 2014 A consistent BGK-type model for gas mixtures. Zbl 1001.82093 Andries, Pierre; Aoki, Kazuo; Perthame, Benoit 81 2002 Second-order Boltzmann schemes for compressible Euler equations in one and two space dimensions. Zbl 0744.76088 Perthame, B. 78 1992 Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113 Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît 74 2011 Relaxation of energy and approximate Riemann solvers for general pressure laws in fluid dynamics. Zbl 0960.76051 Coquel, Frédéric; Perthame, Benoît 74 1998 Dirac concentrations in Lotka-Volterra parabolic PDEs. Zbl 1172.35005 Perthame, Benoit; Barles, Guy 71 2008 Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069 Bouchut, F.; Perthame, B. 70 1998 A Fourier spectral method for homogeneous Boltzmann equations. Zbl 0870.76074 Pareschi, Lorenzo; Perthame, Benoit 67 1996 The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation. Zbl 0655.35075 Bardos, C.; Golse, F.; Perthame, B.; Sentis, R. 65 1988 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048 Bouchut, François; Golse, François; Pulvirenti, Mario 65 2000 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 65 1985 Exponential decay for the fragmentation or cell-division equation. Zbl 1072.35195 Perthame, Benoît; Ryzhik, Lenya 65 2005 Boltzmann type schemes for gas dynamics and the entropy property. Zbl 0714.76078 Perthame, B. 65 1990 A kinetic equation with kinetic entropy functions for scalar conservation laws. Zbl 0729.76070 Perthame, Benoit; Tadmor, Eitan 63 1991 PDE models for chemotactic movements: parabolic, hyperbolic and kinetic. Zbl 1099.35157 Perthame, Benoît 62 2004 A chemotaxis model motivated by angiogenesis. Zbl 1028.35062 Corrias, L.; Perthame, B.; Zaag, H. 61 2003 Parabolic equations in biology. Growth, reaction, movement and diffusion. Zbl 1333.35001 Perthame, Benoît 61 2015 Gelation in coagulation and fragmentation models. Zbl 1016.82027 Escobedo, M.; Mischler, S.; Perthame, B. 59 2002 Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198 Cáceres, María J.; Carrillo, José A.; Perthame, Benoît 59 2011 Time decay, propagation of low moments and dispersive effects for kinetic equations. Zbl 0852.35139 Perthame, B. 57 1996 Morrey-Campanato estimates for Helmholtz equations. Zbl 0932.35048 Perthame, Benoit; Vega, Luis 56 1999 Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027 Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît 56 2009 Numerical passage from kinetic to fluid equations. Zbl 0718.76086 Coron, F.; Perthame, B. 54 1991 Equilibrium schemes for scalar conservation laws with stiff sources. Zbl 1017.65070 Botchorishvili, Ramaz; Perthame, Benoit; Vasseur, Alexis 53 2003 On a boundary layer problem for the nonlinear Boltzmann equation. Zbl 0668.76089 Golse, Francois; Perthame, Benoit; Sulem, Catherine 52 1988 Gelation and mass conservation in coagulation-fragmentation models. Zbl 1133.82316 Escobedo, M.; Laurençot, Ph.; Mischler, S.; Perthame, B. 52 2003 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 52 2015 A limiting case for velocity averaging. Zbl 0956.45010 Perthame, B.; Souganidis, P. E. 51 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 51 2012 Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies. Zbl 1071.35079 Audusse, Emmanuel; Perthame, Benoît 50 2005 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. 49 1997 Weighted \(L^ \infty\) bounds and uniqueness for the Boltzmann BGK model. Zbl 0786.76072 Perthame, B.; Pulvirenti, M. 49 1993 Microreversible collisions for polyatomic gases and Boltzmann’s theorem. Zbl 0807.76067 Bourgat, J.-F.; Desvillettes, L.; Le Tallec, P.; Perthame, B. 49 1994 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 48 2011 Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure. Zbl 0919.35088 Perthame, B. 47 1998 Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025 Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît 47 2013 Dynamics of a structured neuron population. Zbl 1267.35239 Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 45 2010 Mathematical tools for kinetic equations. Zbl 1151.82351 Perthame, Benoît 45 2004 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 44 1990 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 40 2013 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 40 2003 Existence of solutions of the hyperbolic Keller-Segel model. Zbl 1180.35343 Perthame, Benoît; Dalibard, Anne-Laure 38 2009 Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations. Zbl 0691.49028 Barles, G.; Perthame, B. 37 1990 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 37 2002 Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459 Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya 36 2008 Relaxation and self-sustained oscillations in the time elapsed neuron network model. Zbl 1278.82046 Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 36 2013 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 Stability in a nonlinear population maturation model. Zbl 1020.92025 Mischler, Stéphane; Perthame, Benoît; Ryzhik, Lenya 35 2002 General entropy equations for structured population models and scattering. Zbl 1049.35070 Michel, Philippe; Mischler, Stéphane; Perthame, Benoît 35 2004 Non-existence of global solutions to Euler-Poisson equations for repulsive forces. Zbl 0717.35049 Perthame, Benoît 34 1990 A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091 Bouchut, F.; Bourdarias, Ch.; Perthame, B. 34 1996 Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038 Laurençot, Philippe; Perthame, Benoit 34 2009 A Hele-Shaw problem for tumor growth. Zbl 1377.35245 Mellet, Antoine; Perthame, Benoît; Quirós, Fernando 34 2017 Strichartz’ estimates for kinetic transport equations. (Estimations de Strichartz pour les équations de transport cinétique.) Zbl 0848.35095 Castella, François; Perthame, Benoît 33 1996 Regularity and propagation of moments in some nonlinear Vlasov systems. Zbl 0984.35102 Gasser, I.; Jabin, P.-E.; Perthame, B. 33 2000 Incompressible limit of a mechanical model of tumour growth with viscosity. Zbl 1353.35294 Perthame, Benoît; Vauchelet, Nicolas 32 2015 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 32 2014 Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics. Zbl 1137.49027 Barles, Guy; Perthame, Benoît 31 2007 Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038 Nadin, Grégoire; Perthame, Benoît; Tang, Min 31 2011 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 31 2014 Concentration in the nonlocal Fisher equation: the Hamilton-Jacobi limit. Zbl 1337.35077 Perthame, Benoît; Génieys, Stephane 31 2007 The Rosseland approximation for the radiative transfer equations. Zbl 0654.65095 Bardos, C.; Golse, F.; Perthame, B. 30 1987 Remarks on Hamilton-Jacobi equations with measurable time-dependent Hamiltonians. Zbl 0688.35052 Lions, P. L.; Perthame, B. 29 1987 Coupling Boltzmann and Euler equations without overlapping. Zbl 0796.76063 Bourgat, J. F.; Le Tallec, P.; Perthame, B.; Qiu, Y. 28 1994 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 A structured population model of cell differentiation. Zbl 1235.35030 Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P. 27 2011 Some new Godunov and relaxation methods for two-phase flow problems. Zbl 1064.76545 Coquel, F.; Godlewski, E.; Perthame, B.; In, A.; Rascle, P. 27 2001 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 27 2015 Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066 Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B. 27 2013 Generalized solutions of the radiative transfer equations in a singular case. Zbl 0614.35084 Golse, F.; Perthame, B. 26 1986 Maximum principle on the entropy and second-order kinetic schemes. Zbl 0795.35085 Khobalatte, Brahim; Perthame, Benoit 26 1994 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 26 2008 Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120 Haskovec, Jan; Markowich, Peter; Perthame, Benoit 26 2015 Line-energy Ginzburg-Landau models: zero-energy states. Zbl 1072.35051 Otto, Felix; Jabin, Pierre-Emmanuel; Perthame, Benoît 25 2002 Boltzmann equation with infinite energy: Renormalized solutions and distributional solutions for small initial data and initial data close to a Maxwellian. Zbl 0889.35077 Mischler, S.; Perthame, B. 25 1997 On the inverse problem for a size-structured population model. Zbl 1118.35072 Perthame, Benoît; Zubelli, Jorge P. 24 2007 From Vlasov equation to degenerate nonlocal Cahn-Hilliard equation. Zbl 1522.35506 Elbar, Charles; Mason, Marco; Perthame, Benoît; Skrzeczkowski, Jakub 2 2023 Convergence rate for the incompressible limit of nonlinear diffusion-advection equations. Zbl 1519.35038 David, Noemi; Dębiec, Tomasz; Perthame, Benoît 2 2023 A Hamilton-Jacobi approach to evolution of dispersal. Zbl 1510.35026 Lam, King-Yeung; Lou, Yuan; Perthame, Benoît 2 2023 Fast reaction limit with nonmonotone reaction function. Zbl 1525.35017 Perthame, Benoît; Skrzeczkowski, Jakub 1 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 1 2023 The Aronson-Bénilan estimate in Lebesgue spaces. Zbl 1518.35157 Bevilacqua, Giulia; Perthame, Benoît; Schmidtchen, Markus 1 2023 Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model. Zbl 1507.35038 Elbar, Charles; Perthame, Benoît; Poulain, Alexandre 3 2022 A multiple time renewal equation for neural assemblies with elapsed time model. Zbl 1501.35398 Torres, Nicolás; Perthame, Benoît; Salort, Delphine 3 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. 2 2022 Motility switching and front-back synchronisation in polarised cells. Zbl 1496.37091 Estrada-Rodriguez, Gissell; Perthame, Benoit 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 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 Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189 Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M. 18 2021 Free boundary limit of a tumor growth model with nutrient. Zbl 1478.35210 David, Noemi; Perthame, Benoît 17 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 11 2021 Existence of a global weak solution for a reaction-diffusion problem with membrane conditions. Zbl 1470.35179 Ciavolella, Giorgia; Perthame, Benoît 6 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 4 2021 Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility. Zbl 1504.35076 Perthame, Benoît; Poulain, Alexandre 4 2021 A nonexpanding transport distance for some structured equations. Zbl 1480.35072 Fournier, Nicolas; Perthame, Benoît 3 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 2 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 2 2021 Fast voltage dynamics of voltage-conductance models for neural networks. Zbl 1466.35350 Kim, Jeongho; Perthame, Benoît; Salort, Delphine 1 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 23 2020 The flux limited Keller-Segel system; properties and derivation from kinetic equations. Zbl 1441.35056 Perthame, Benoît; Vauchelet, Nicolas; Wang, Zhian 15 2020 Transport distances for PDEs: the coupling method. Zbl 1459.35037 Fournier, Nicolas; Perthame, Benoît 8 2020 Multiple asymptotics of kinetic equations with internal states. Zbl 1450.35034 Perthame, Benoit; Sun, Weiran; Tang, Min; Yasuda, Shugo 5 2020 Reaction-diffusion systems with initial data of low regularity. Zbl 1448.35291 Laamri, El-Haj; Perthame, Benoît 5 2020 A two-species hyperbolic-parabolic model of tissue growth. Zbl 1425.35198 Gwiazda, Piotr; Perthame, Benoît; Świerczewska-Gwiazda, Agnieszka 24 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 18 2019 Backward parabolicity, cross-diffusion and Turing instability. Zbl 1411.35165 Moussa, Ayman; Perthame, Benoît; Salort, Delphine 7 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 6 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 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 19 2018 Traveling wave and aggregation in a flux-limited Keller-Segel model. Zbl 1405.92030 Calvez, Vincent; Perthame, Benoît; Yasuda, Shugo 16 2018 Dynamics of concentration in a population model structured by age and a phenotypical trait. Zbl 1398.35251 Nordmann, Samuel; Perthame, Benoît; Taing, Cécile 9 2018 The fractional diffusion limit of a kinetic model with biochemical pathway. Zbl 1395.35015 Perthame, Benoît; Sun, Weiran; Tang, Min 9 2018 Long-time asymptotics for polymerization models. Zbl 1400.82316 Calvo, Juan; Doumic, Marie; Perthame, Benoît 8 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 34 2017 On interfaces between cell populations with different mobilities. Zbl 1359.35204 Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît 20 2017 Distributed synaptic weights in a LIF neural network and learning rules. Zbl 1378.92006 Perthame, Benoît; Salort, Delphine; Wainrib, Gilles 5 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 23 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. 20 2016 Uncertainty propagation; intrusive kinetic formulations of scalar conservation laws. Zbl 1362.35342 Despres, Bruno; Perthame, Benoit 18 2016 Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360 Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E. 10 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 61 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 52 2015 Incompressible limit of a mechanical model of tumour growth with viscosity. Zbl 1353.35294 Perthame, Benoît; Vauchelet, Nicolas 32 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 27 2015 Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120 Haskovec, Jan; Markowich, Peter; Perthame, Benoit 26 2015 Asymptotic analysis of a selection model with space. Zbl 1327.35011 Mirrahimi, Sepideh; Perthame, Benoît 23 2015 Time fluctuations in a population model of adaptive dynamics. Zbl 1312.35011 Mirrahimi, Sepideh; Perthame, Benoît; Souganidis, Panagiotis E. 10 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 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 4 2015 Transversal instability for the thermodiffusive reaction-diffusion system. Zbl 1328.35097 Kowalczyk, Michal; Perthame, Benoît; Vauchelet, Nicolas 1 2015 Competition and boundary formation in heterogeneous media: application to neuronal differentiation. Zbl 1325.35237 Perthame, Benoît; Quiñinao, Cristóbal; Touboul, Jonathan 1 2015 The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347 Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis 82 2014 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 32 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 31 2014 Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient. Zbl 1366.92065 Perthame, Benoît; Tang, Min; Vauchelet, Nicolas 24 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 21 2014 Beyond blow-up in excitatory integrate and fire neuronal networks: refractory period and spontaneous activity. Zbl 1412.92001 Cáceres, María J.; Perthame, Benoît 17 2014 Direct competition results from strong competition for limited resource. Zbl 1293.35346 Mirrahimi, Sepideh; Perthame, Benoît; Wakano, Joe Yuichiro 10 2014 Some mathematical aspects of tumor growth and therapy. Zbl 1373.35322 Perthame, Benoît 9 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 47 2013 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 40 2013 Relaxation and self-sustained oscillations in the time elapsed neuron network model. Zbl 1278.82046 Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 36 2013 Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066 Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B. 27 2013 Optimal regularizing effect for scalar conservation laws. Zbl 1288.35343 Golse, François; Perthame, Benoît 23 2013 Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234 Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 17 2013 On a voltage-conductance kinetic system for integrate & fire neural networks. Zbl 1284.35103 Perthame, Benoît; Salort, Delphine 14 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 11 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 51 2012 Evolution of species trait through resource competition. Zbl 1279.92060 Mirrahimi, Sepideh; Perthame, Benoît; Wakano, Joe Yuichiro 19 2012 Regularization in Keller-Segel type systems and the De Giorgi method. Zbl 1288.35146 Perthame, Benoît; Vasseur, Alexis 10 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 74 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 59 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 48 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 31 2011 A structured population model of cell differentiation. Zbl 1235.35030 Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P. 27 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 23 2011 Population formulation of adaptative meso-evolution: theory and numerics. Zbl 1379.92052 Mirrahimi, Sepideh; Perthame, Benoît; Bouin, Emeric; Millien, Pierre 11 2011 Waves for a hyperbolic Keller–Segel model and branching instabilities. Zbl 1221.35088 Cerreti, Fiammetta; Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas 10 2011 A homogenization approach to flashing ratchets. Zbl 1209.35013 Perthame, Benoît; Souganidis, Panagiotis E. 4 2011 Dynamics of a structured neuron population. Zbl 1267.35239 Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 45 2010 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 Models of self-organizing bacterial communities and comparisons with experimental observations. Zbl 1184.35158 Marrocco, A.; Henry, H.; Holland, I. B.; Plapp, M.; Séror, S. J.; Perthame, B. 6 2010 ...and 170 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,855 Authors 152 Perthame, Benoît 69 Carrillo de la Plata, José Antonio 44 Winkler, Michael 40 Jabin, Pierre-Emmanuel 40 Zhang, Xianwen 37 Calvez, Vincent 34 Bouchut, François 34 Fernández-Nieto, Enrique Domingo 34 Liu, Jianguo 34 Pareschi, Lorenzo 33 Berthon, Christophe 32 Bellomo, Nicola 32 Shu, Chi-Wang 31 Chen, Gui-Qiang G. 31 Kurganov, Alexander 31 Vauchelet, Nicolas 30 Lu, Yunguang 29 Jin, Shi 29 Yun, Seok-Bae 28 Laurençot, Philippe 27 Lorenzi, Tommaso 26 Degond, Pierre 26 Karlsen, Kenneth Hvistendahl 25 Goudon, Thierry 25 Souganidis, Panagiotis E. 24 Parés Madroñal, Carlos 24 Wang, Zhian 23 Chalons, Christophe 23 Gess, Benjamin 23 Mai Duc Thanh 22 Mischler, Stéphane 22 Yang, Tong 22 Zhan, Huashui 21 Golse, François 21 Masmoudi, Nader 21 Mirrahimi, Sepideh 21 Rein, Gerhard 21 Xing, Yulong 20 Filbet, Francis 20 Hérard, Jean-Marc 20 Hu, Jingwei 20 Klingenberg, Christian 20 Markowich, Peter Alexander 20 Morales de Luna, Tomás 19 Ducomet, Bernard 19 Gwiazda, Piotr 19 Huang, Feimin 19 Mangeney, Anne 19 Tao, Youshan 18 Castro, Manuel J. 18 Dimarco, Giacomo 18 Doumic, Marie 18 Gosse, Laurent 18 Lions, Pierre-Louis 18 Soler, Juan S. 18 Volpert, Vitaly A. 17 Barles, Guy 17 Bresch, Didier 17 Castro-Díaz, Manuel Jesús 17 Desvillettes, Laurent 17 Gabriel, Pierre 17 Martínez Gamba, Irene 17 Henderson, Christopher 17 Jüngel, Ansgar 17 Li, Hailiang 17 Liu, Hailiang 17 Mieussens, Luc 17 Natalini, Roberto 17 Popov, Boyan 17 Salort, Delphine 17 Schmeiser, Christian 17 Tadmor, Eitan 16 Andreianov, Boris 16 Bisi, Marzia 16 Bouin, Emeric 16 Chen, Li 16 Coquel, Frédéric 16 Li, Gang 16 Nečasová, Šárka 16 Velázquez, Juan J. L. 15 Chertock, Alina E. 15 Frid, Hermano 15 Ha, Seung-Yeal 15 Kim, Inwon Christina 15 Puppo, Gabriella 15 Risebro, Nils Henrik 15 Saint-Raymond, Laure 15 Schaeffer, Jack W. 15 Surulescu, Christina 15 Tang, Min 15 Trofimchuk, Sergei I. 14 Audusse, Emmanuel 14 Brull, Stephane 14 Choi, Young-Pil 14 Clairambault, Jean 14 Colombo, Rinaldo M. 14 Escobedo Martínez, Miguel 14 Guermond, Jean-Luc 14 Klar, Axel 14 Zhang, Xiangxiong ...and 4,755 more Authors all top 5 Cited in 409 Serials 318 Journal of Computational Physics 251 Journal of Differential Equations 168 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 136 Journal of Mathematical Analysis and Applications 123 Archive for Rational Mechanics and Analysis 115 SIAM Journal on Mathematical Analysis 113 Communications in Partial Differential Equations 99 Journal of Mathematical Biology 97 Journal of Scientific Computing 94 Kinetic and Related Models 87 Computers and Fluids 83 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 73 Journal of Statistical Physics 71 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 69 Journal de Mathématiques Pures et Appliquées. Neuvième Série 67 Communications in Mathematical Physics 65 Comptes Rendus. Mathématique. Académie des Sciences, Paris 60 Journal of Functional Analysis 60 Discrete and Continuous Dynamical Systems 60 Nonlinear Analysis. Real World Applications 59 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 57 Discrete and Continuous Dynamical Systems. Series B 55 Acta Applicandae Mathematicae 50 Mathematical Methods in the Applied Sciences 49 Mathematics of Computation 49 Applied Mathematics Letters 49 Journal of Hyperbolic Differential Equations 47 Journal of Mathematical Physics 46 Nonlinearity 46 ZAMP. Zeitschrift für angewandte Mathematik und Physik 46 SIAM Journal on Scientific Computing 45 Computers & Mathematics with Applications 40 Applied Mathematics and Computation 38 Numerische Mathematik 38 SIAM Journal on Numerical Analysis 37 Bulletin of Mathematical Biology 36 Mathematical and Computer Modelling 35 Transactions of the American Mathematical Society 35 Mathematical Biosciences and Engineering 33 SIAM Journal on Applied Mathematics 32 Physica D 32 Networks and Heterogeneous Media 30 Transport Theory and Statistical Physics 30 European Journal of Mechanics. B. Fluids 30 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 29 Journal of Evolution Equations 29 Journal of Theoretical Biology 28 Journal of Fluid Mechanics 27 Quarterly of Applied Mathematics 27 NoDEA. Nonlinear Differential Equations and Applications 26 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 25 Communications on Pure and Applied Mathematics 25 Journal of Computational and Applied Mathematics 24 Computer Methods in Applied Mechanics and Engineering 24 Communications in Computational Physics 22 Applied Mathematics and Optimization 22 Calculus of Variations and Partial Differential Equations 22 Multiscale Modeling & Simulation 20 Applied Numerical Mathematics 20 Mathematical Modelling of Natural Phenomena 19 Applicable Analysis 19 Journal of Nonlinear Science 18 Mathematical Biosciences 18 Chinese Annals of Mathematics. Series B 18 European Journal of Applied Mathematics 18 Applied Mathematical Modelling 17 International Journal for Numerical Methods in Fluids 17 Séminaire Laurent Schwartz. EDP et Applications 16 Journal of Dynamics and Differential Equations 16 Communications on Pure and Applied Analysis 15 Stochastic Processes and their Applications 15 Physics of Fluids 15 Journal of Biological Dynamics 14 The Annals of Applied Probability 14 Boundary Value Problems 13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 13 Journal of Mathematical Fluid Mechanics 13 Nonlinear Analysis. Theory, Methods & Applications 12 Proceedings of the American Mathematical Society 12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 12 Acta Mathematica Scientia. Series B. (English Edition) 12 Oberwolfach Reports 12 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 12 International Journal on Finite Volumes 11 Mathematische Annalen 11 SIAM Journal on Control and Optimization 11 Advances in Applied Mathematics and Mechanics 11 Stochastic and Partial Differential Equations. Analysis and Computations 10 Indiana University Mathematics Journal 10 Numerical Methods for Partial Differential Equations 10 Asymptotic Analysis 10 Continuum Mechanics and Thermodynamics 10 Discrete and Continuous Dynamical Systems. Series S 10 Annals of PDE 9 Advances in Mathematics 9 Japan Journal of Industrial and Applied Mathematics 9 Advances in Computational Mathematics 9 Analysis & PDE 9 Science China. Mathematics 9 SMAI Journal of Computational Mathematics ...and 309 more Serials all top 5 Cited in 49 Fields 3,623 Partial differential equations (35-XX) 1,696 Fluid mechanics (76-XX) 1,387 Biology and other natural sciences (92-XX) 1,110 Numerical analysis (65-XX) 863 Statistical mechanics, structure of matter (82-XX) 348 Probability theory and stochastic processes (60-XX) 244 Integral equations (45-XX) 228 Calculus of variations and optimal control; optimization (49-XX) 159 Operator theory (47-XX) 155 Ordinary differential equations (34-XX) 119 Dynamical systems and ergodic theory (37-XX) 113 Geophysics (86-XX) 104 Optics, electromagnetic theory (78-XX) 95 Systems theory; control (93-XX) 88 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 81 Classical thermodynamics, heat transfer (80-XX) 77 Mechanics of deformable solids (74-XX) 76 Astronomy and astrophysics (85-XX) 52 Operations research, mathematical programming (90-XX) 51 Quantum theory (81-XX) 46 Functional analysis (46-XX) 46 Relativity and gravitational theory (83-XX) 41 Mechanics of particles and systems (70-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 30 Statistics (62-XX) 27 Real functions (26-XX) 26 Global analysis, analysis on manifolds (58-XX) 23 Differential geometry (53-XX) 22 Computer science (68-XX) 18 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) 6 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 6 Information and communication theory, circuits (94-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Difference and functional equations (39-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 General topology (54-XX) 4 Mathematics education (97-XX) 3 Number theory (11-XX) 3 Topological groups, Lie groups (22-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.