Edit Profile (opens in new tab) Perthame, Benoît Compute Distance To: Compute 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: 289 Publications since 1984, including 4 Books 7 Contributions as Editor · 2 Further Contributions Co-Authors: 208 Co-Authors with 263 Joint Publications 4,825 Co-Co-Authors all top 5 Co-Authors 34 single-authored 20 Souganidis, Panagiotis E. 15 Salort, Delphine 14 Lions, Pierre-Louis 13 Golse, François 12 Vauchelet, Nicolas 11 Tang, Min 10 Markowich, Peter Alexander 9 Jabin, Pierre-Emmanuel 9 Mirrahimi, Sepideh 8 Bouchut, François 8 Clairambault, Jean 8 Lorz, Alexander 7 Barles, Guy 7 Calvez, Vincent 7 Mischler, Stéphane 7 Ryzhik, Lenya 6 Bardos, Claude Williams 6 Doumic, Marie 5 Le Tallec, Patrick 5 Nadin, Grégoire 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 Bubba, Federica 3 Cáceres, María-José 3 Chen, Gui-Qiang G. 3 Godlewski, Edwige 3 Katsaounis, Theodoros 3 Laurençot, Philippe 3 Michel, Philippe 3 Pakdaman, Khashayar 3 Pulvirenti, Mario 3 Qiu, Youchun 3 Quirós Gracián, Fernando 3 Rascle, Paul 3 Schmeiser, Christian 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 Bournaveas, Nikolaos 2 Cheddadi, Ibrahim 2 Ciarletta, Pasquale 2 Deslys, Jean-Philippe 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 Gasser, Ingenuin 2 Gerbeau, Jean-Frédéric 2 Gwiazda, Piotr 2 Haskovec, Jan 2 Herrero, Henar 2 James, François 2 Kang, Kyungkeun 2 Lenuzza, Natacha 2 Lucquin-Desreux, Brigitte 2 Makridakis, Charalambos G. 2 Marciniak-Czochra, Anna K. 2 Marrocco, Americo 2 Mellet, Antoine 2 Moussa, Ayman 2 Mouthon, Franck 2 Nordmann, Samuel 2 Pouchol, Camille 2 Poulain, Alexandre 2 Ribes, Edouard 2 Ruan, Xinran 2 Sainte-Marie, Jacques 2 Schmidtchen, Markus 2 Seguin, Nicolas 2 Stoufflet, Bruno 2 Strugarek, Martin 2 Sun, Weiran 2 Torres, Nicolás 2 Tournus, Magali 2 Vasseur, Alexis F. 2 Vazquez, Juan Luis 2 Velázquez, Juan J. L. ...and 127 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 8 Journal of Differential Equations 8 Communications in Partial Differential Equations 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 SIAM Journal on Mathematical Analysis 7 Communications in Mathematical Sciences 6 Communications in Mathematical Physics 6 Journal of Mathematical Biology 6 Nonlinearity 6 SIAM Journal on Numerical Analysis 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Communications on Pure and Applied Mathematics 4 Journal of Functional Analysis 4 Chinese Annals of Mathematics. Series B 4 Mathematical and Computer Modelling 4 Asymptotic Analysis 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 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 Bulletin of Mathematical Biology 2 Numerische Mathematik 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 Bulletin of the Brazilian Mathematical Society. New Series 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 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 Acta Applicandae Mathematicae 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 Discrete and Continuous Dynamical Systems 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 1 Journal of Theoretical Biology ...and 10 more Serials all top 5 Fields 230 Partial differential equations (35-XX) 135 Biology and other natural sciences (92-XX) 80 Fluid mechanics (76-XX) 54 Statistical mechanics, structure of matter (82-XX) 41 Numerical analysis (65-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 20 Integral equations (45-XX) 11 Operator theory (47-XX) 10 Ordinary differential equations (34-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Probability theory and stochastic processes (60-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 258 Publications have been cited 7,884 times in 4,493 Documents Cited by ▼ Year ▼ A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît 349 2004 Transport equations in biology. Zbl 1185.92006Perthame, Benoît 330 2007 Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system. Zbl 0741.35061Lions, P. L.; Perthame, B. 231 1991 Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions. Zbl 1112.35023Blanchet, Adrien; Dolbeault, Jean; Perthame, Benoit 212 2006 Regularity of the moments of the solution of a transport equation. Zbl 0652.47031Golse, François; Lions, Pierre-Louis; Perthame, Benoît; Sentis, Rémi 202 1988 A kinetic formulation of multidimensional scalar conservation laws and related equations. Zbl 0820.35094Lions, P. L.; Perthame, B.; Tadmor, E. 194 1994 Global solutions of some chemotaxis and angiogenesis system in high space dimension. Zbl 1115.35136Corrias, L.; Perthame, Benoît; Zaag, H. 170 2004 Kinetic formulation of the isentropic gas dynamics and \(p\)-systems. Zbl 0799.35151Lions, P. L.; Perthame, B.; Tadmor, E. 158 1994 Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates. Zbl 0853.76077Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 148 1996 Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation. Zbl 0997.76023Gerbeau, J.-F.; Perthame, B. 135 2001 A kinetic scheme for the Saint-Venant system with a source term. Zbl 1008.65066Perthame, B.; Simeoni, C. 130 2001 Kinetic formulation of conservation laws. Zbl 1030.35002Perthame, Benoît 129 2002 The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya 124 2009 Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian 121 2004 General relative entropy inequality: an illustration on growth models. Zbl 1085.35042Michel, Philippe; Mischler, Stéphane; Perthame, Benoît 117 2005 Exit time problems in optimal control and vanishing viscosity method. Zbl 0674.49027Barles, G.; Perthame, B. 98 1988 The dynamics of adaptation: An illuminating example and a Hamilton–Jacobi approach. Zbl 1072.92035Diekmann, Odo; Jabin, Pierre-Emanuel; Mischler, Stéphane; Perthame, Benoît 98 2005 Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\). Zbl 1056.35076Dolbeault, Jean; Perthame, Benoît 97 2004 The Gaussian-BGK model of Boltzmann equation with small Prandtl number. Zbl 0967.76082Andries, Pierre; Le Tallec, Patrick; Perlat, Jean-Philippe; Perthame, Benoît 95 2000 Discontinuous solutions of deterministic optimal stopping time problems. Zbl 0629.49017Barles, G.; Perthame, B. 95 1987 On positivity preserving finite volume schemes for Euler equations. Zbl 0857.76062Perthame, Benoit; Shu, Chi-Wang 89 1996 Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1031.35077Chen, Gui-Qiang; Perthame, Benoît 86 2003 Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014Filbet, Francis; Laurençot, Philippe; Perthame, Benoît 84 2005 Global existence to the BGK model of Boltzmann equation. Zbl 0694.35134Perthame, B. 78 1989 A consistent BGK-type model for gas mixtures. Zbl 1001.82093Andries, Pierre; Aoki, Kazuo; Perthame, Benoit 75 2002 Second-order Boltzmann schemes for compressible Euler equations in one and two space dimensions. Zbl 0744.76088Perthame, B. 74 1992 Relaxation of energy and approximate Riemann solvers for general pressure laws in fluid dynamics. Zbl 0960.76051Coquel, Frédéric; Perthame, Benoît 72 1998 Boltzmann type schemes for gas dynamics and the entropy property. Zbl 0714.76078Perthame, B. 63 1990 Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069Bouchut, F.; Perthame, B. 63 1998 The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis 62 2014 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 0591.45007Golse, François; Perthame, Benoît; Sentis, Rémi 62 1985 Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît 62 2011 The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation. Zbl 0655.35075Bardos, C.; Golse, F.; Perthame, B.; Sentis, R. 60 1988 A Fourier spectral method for homogeneous Boltzmann equations. Zbl 0870.76074Pareschi, Lorenzo; Perthame, Benoit 60 1996 PDE models for chemotactic movements: parabolic, hyperbolic and kinetic. Zbl 1099.35157Perthame, Benoît 59 2004 A kinetic equation with kinetic entropy functions for scalar conservation laws. Zbl 0729.76070Perthame, Benoit; Tadmor, Eitan 59 1991 Dirac concentrations in Lotka-Volterra parabolic PDEs. Zbl 1172.35005Perthame, Benoit; Barles, Guy 59 2008 Exponential decay for the fragmentation or cell-division equation. Zbl 1072.35195Perthame, Benoît; Ryzhik, Lenya 59 2005 A chemotaxis model motivated by angiogenesis. Zbl 1028.35062Corrias, L.; Perthame, B.; Zaag, H. 58 2003 Gelation in coagulation and fragmentation models. Zbl 1016.82027Escobedo, M.; Mischler, S.; Perthame, B. 55 2002 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048Bouchut, François; Golse, François; Pulvirenti, Mario 54 2000 Numerical passage from kinetic to fluid equations. Zbl 0718.76086Coron, F.; Perthame, B. 51 1991 Gelation and mass conservation in coagulation-fragmentation models. Zbl 1133.82316Escobedo, M.; Laurençot, Ph.; Mischler, S.; Perthame, B. 50 2003 On a boundary layer problem for the nonlinear Boltzmann equation. Zbl 0668.76089Golse, Francois; Perthame, Benoit; Sulem, Catherine 50 1988 Morrey-Campanato estimates for Helmholtz equations. Zbl 0932.35048Perthame, Benoit; Vega, Luis 50 1999 Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198Cáceres, María J.; Carrillo, José A.; Perthame, Benoît 50 2011 Time decay, propagation of low moments and dispersive effects for kinetic equations. Zbl 0852.35139Perthame, B. 49 1996 Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration. Zbl 1253.35186Bouin, Emeric; Calvez, Vincent; Meunier, Nicolas; Mirrahimi, Sepideh; Perthame, Benoît; Raoul, Gaël; Voituriez, Raphaël 48 2012 Equilibrium schemes for scalar conservation laws with stiff sources. Zbl 1017.65070Botchorishvili, Ramaz; Perthame, Benoit; Vasseur, Alexis 48 2003 Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors. Zbl 1334.92204Lorz, Alexander; Lorenzi, Tommaso; Clairambault, Jean; Escargueil, Alexandre; Perthame, Benoît 47 2015 Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure. Zbl 0919.35088Perthame, B. 46 1998 Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies. Zbl 1071.35079Audusse, Emmanuel; Perthame, Benoît 46 2005 Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît 45 2013 Weighted \(L^ \infty\) bounds and uniqueness for the Boltzmann BGK model. Zbl 0786.76072Perthame, B.; Pulvirenti, M. 45 1993 A numerical method using upwind schemes for the resolution of two-phase flows. Zbl 0893.76052Coquel, F.; El Amine, K.; Godlewski, E.; Perthame, B.; Rascle, P. 45 1997 A limiting case for velocity averaging. Zbl 0956.45010Perthame, B.; Souganidis, P. E. 43 1998 A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation. Zbl 1290.35194Audusse, Emmanuel; Bristeau, Marie-Odile; Perthame, Benoît; Sainte-Marie, Jacques 43 2011 Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît 42 2009 Mathematical tools for kinetic equations. Zbl 1151.82351Perthame, Benoît 40 2004 Microreversible collisions for polyatomic gases and Boltzmann’s theorem. Zbl 0807.76067Bourgat, J.-F.; Desvillettes, L.; Le Tallec, P.; Perthame, B. 40 1994 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 0743.35048Makino, Tetu; Perthame, Benoît 39 1990 Dynamics of a structured neuron population. Zbl 1267.35239Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 38 2010 A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows. Zbl 1044.35056Bouchut, François; Mangeney-Castelnau, Anne; Perthame, Benoît; Vilotte, Jean-Pierre 37 2003 Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations. Zbl 0691.49028Barles, G.; Perthame, B. 36 1990 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 35 2013 Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases. Zbl 1101.76377Andries, Pierre; Bourgat, Jean-François; le Tallec, Patrick; Perthame, Benoit 35 2002 Parabolic equations in biology. Growth, reaction, movement and diffusion. Zbl 1333.35001Perthame, Benoît 34 2015 Relaxation and self-sustained oscillations in the time elapsed neuron network model. Zbl 1278.82046Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 33 2013 Stability in a nonlinear population maturation model. Zbl 1020.92025Mischler, Stéphane; Perthame, Benoît; Ryzhik, Lenya 33 2002 A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091Bouchut, F.; Bourdarias, Ch.; Perthame, B. 32 1996 General entropy equations for structured population models and scattering. Zbl 1049.35070Michel, Philippe; Mischler, Stéphane; Perthame, Benoît 32 2004 Existence of solutions of the hyperbolic Keller-Segel model. Zbl 1180.35343Perthame, Benoît; Dalibard, Anne-Laure 32 2009 Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038Laurençot, Philippe; Perthame, Benoit 31 2009 Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces. Zbl 1134.92006Corrias, Lucilla; Perthame, Benoît 31 2008 Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038Nadin, Grégoire; Perthame, Benoît; Tang, Min 30 2011 Strichartz’ estimates for kinetic transport equations. (Estimations de Strichartz pour les équations de transport cinétique.) Zbl 0848.35095Castella, François; Perthame, Benoît 30 1996 Regularity and propagation of moments in some nonlinear Vlasov systems. Zbl 0984.35102Gasser, I.; Jabin, P.-E.; Perthame, B. 30 2000 Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya 30 2008 Non-existence of global solutions to Euler-Poisson equations for repulsive forces. Zbl 0717.35049Perthame, Benoît 30 1990 Concentration in the nonlocal Fisher equation: the Hamilton-Jacobi limit. Zbl 1337.35077Perthame, Benoît; Génieys, Stephane 29 2007 Remarks on Hamilton-Jacobi equations with measurable time-dependent Hamiltonians. Zbl 0688.35052Lions, P. L.; Perthame, B. 29 1987 Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation. Zbl 1333.92009Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 28 2014 The Rosseland approximation for the radiative transfer equations. Zbl 0654.65095Bardos, C.; Golse, F.; Perthame, B. 27 1987 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 27 2014 Coupling Boltzmann and Euler equations without overlapping. Zbl 0796.76063Bourgat, J. F.; Le Tallec, P.; Perthame, B.; Qiu, Y. 27 1994 Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics. Zbl 1137.49027Barles, Guy; Perthame, Benoît 26 2007 Some new Godunov and relaxation methods for two-phase flow problems. Zbl 1064.76545Coquel, F.; Godlewski, E.; Perthame, B.; In, A.; Rascle, P. 26 2001 Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B. 26 2013 Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039Calvez, V.; Lenuzza, N.; Doumic, M.; Deslys, J.-P.; Mouthon, F.; Perthame, B. 25 2010 Generalized solutions of the radiative transfer equations in a singular case. Zbl 0614.35084Golse, F.; Perthame, B. 25 1986 A Hele-Shaw problem for tumor growth. Zbl 1377.35245Mellet, Antoine; Perthame, Benoît; Quirós, Fernando 25 2017 An age-and-cyclin-structured cell population model for healthy and tumoral tissues. Zbl 1148.92014Brikci, Fadia Bekkal; Clairambault, Jean; Ribba, Benjamin; Perthame, Benoît 25 2008 A structured population model of cell differentiation. Zbl 1235.35030Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P. 24 2011 Maximum principle on the entropy and second-order kinetic schemes. Zbl 0795.35085Khobalatte, Brahim; Perthame, Benoit 23 1994 Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît 22 2007 Incompressible limit of a mechanical model of tumour growth with viscosity. Zbl 1353.35294Perthame, Benoît; Vauchelet, Nicolas 22 2015 Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience. Zbl 1336.35332Carrillo, José Antonio; Perthame, Benoît; Salort, Delphine; Smets, Didier 22 2015 Asymptotic analysis of a selection model with space. Zbl 1327.35011Mirrahimi, Sepideh; Perthame, Benoît 22 2015 Size distribution dependence of prion aggregates infectivity. Zbl 1161.92033Calvez, Vincent; Lenuzza, Natacha; Oelz, Dietmar; Deslys, Jean-Philippe; Laurent, Pascal; Mouthon, Franck; Perthame, Benoît 22 2009 Travelling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities. Zbl 1223.35102Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas 22 2011 A multiple time renewal equation for neural assemblies with elapsed time model. Zbl 1501.35398Torres, Nicolás; Perthame, Benoît; Salort, Delphine 1 2022 Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model. Zbl 1507.35038Elbar, Charles; Perthame, Benoît; Poulain, Alexandre 1 2022 Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility. Zbl 1507.35300Lorenzi, T.; Perthame, B.; Ruan, X. 1 2022 Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M. 10 2021 Incompressible limit for a two-species model with coupling through Brinkman’s law in any dimension. Zbl 1458.35421Dębiec, Tomasz; Perthame, Benoît; Schmidtchen, Markus; Vauchelet, Nicolas 4 2021 Free boundary limit of a tumor growth model with nutrient. Zbl 1478.35210David, Noemi; Perthame, Benoît 4 2021 Existence of a global weak solution for a reaction-diffusion problem with membrane conditions. Zbl 1470.35179Ciavolella, Giorgia; Perthame, Benoît 3 2021 Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility. Zbl 1504.35076Perthame, Benoît; Poulain, Alexandre 2 2021 Sharp long-time asymptotics for chemotaxis with free boundary. Zbl 1467.35053Li, Hai-Liang; Perthame, Benoít; Wen, Xinmei 1 2021 Dynamics of concentration in a population structured by age and a phenotypic trait with mutations. Convergence of the corrector. Zbl 1466.35018Nordmann, Samuel; Perthame, Benoît 1 2021 Fokker-Plank system for movement of micro-organism population in confined environment. Zbl 1472.35388Fu, Jingyi; Perthame, Benoit; Tang, Min 1 2021 Final size and convergence rate for an epidemic in heterogeneous populations. Zbl 1473.92034Almeida, Luis; Bliman, Pierre-Alexandre; Nadin, Grégoire; Perthame, Benoît; Vauchelet, Nicolas 1 2021 A nonexpanding transport distance for some structured equations. Zbl 1480.35072Fournier, Nicolas; Perthame, Benoît 1 2021 Hele-Shaw limit for a system of two reaction-(Cross-)diffusion equations for living tissues. Zbl 1435.35390Bubba, Federica; Perthame, Benoît; Pouchol, Camille; Schmidtchen, Markus 13 2020 The flux limited Keller-Segel system; properties and derivation from kinetic equations. Zbl 1441.35056Perthame, Benoît; Vauchelet, Nicolas; Wang, Zhian 8 2020 Multiple asymptotics of kinetic equations with internal states. Zbl 1450.35034Perthame, Benoit; Sun, Weiran; Tang, Min; Yasuda, Shugo 4 2020 Transport distances for PDEs: the coupling method. Zbl 1459.35037Fournier, Nicolas; Perthame, Benoît 4 2020 Reaction-diffusion systems with initial data of low regularity. Zbl 1448.35291Laamri, El-Haj; Perthame, Benoît 3 2020 Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations. Zbl 1423.35177Almeida, Luis; Bubba, Federica; Perthame, Benoît; Pouchol, Camille 16 2019 A two-species hyperbolic-parabolic model of tissue growth. Zbl 1425.35198Gwiazda, Piotr; Perthame, Benoît; Świerczewska-Gwiazda, Agnieszka 13 2019 Backward parabolicity, cross-diffusion and Turing instability. Zbl 1411.35165Moussa, Ayman; Perthame, Benoît; Salort, Delphine 6 2019 Derivation of a voltage density equation from a voltage-conductance kinetic model for networks of integrate-and-fire neurons. Zbl 1433.35429Perthame, Benoît; Salort, Delphine 4 2019 Implicit and semi-implicit numerical schemes for the gradient flow of the formation of biological transport networks. Zbl 1437.65095Fang, Di; Jin, Shi; Markowich, Peter; Perthame, Benoît 3 2019 Oscillatory regimes in a mosquito population model with larval feedback on egg hatching. Zbl 1448.92251Strugarek, Martin; Dufour, Laetitia; Vauchelet, Nicolas; Almeida, Luis; Perthame, Benoît; Villela, Daniel A. M. 1 2019 Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller-Segel equation. Zbl 1397.92101Perthame, Benoît; Yasuda, Shugo 14 2018 Traveling wave and aggregation in a flux-limited Keller-Segel model. Zbl 1405.92030Calvez, Vincent; Perthame, Benoît; Yasuda, Shugo 12 2018 Dynamics of concentration in a population model structured by age and a phenotypical trait. Zbl 1398.35251Nordmann, Samuel; Perthame, Benoît; Taing, Cécile 8 2018 The fractional diffusion limit of a kinetic model with biochemical pathway. Zbl 1395.35015Perthame, Benoît; Sun, Weiran; Tang, Min 7 2018 Long-time asymptotics for polymerization models. Zbl 1400.82316Calvo, Juan; Doumic, Marie; Perthame, Benoît 5 2018 Super-linear propagation for a general, local cane toads model. Zbl 1407.35112Henderson, Christopher; Perthame, Benoît; Souganidis, Panagiotis E. 3 2018 Analysis of a system describing proliferative-quiescent cell dynamics. Zbl 1390.37143Clairambault, Jean; Perthame, Benoît; Maran, Andrada Quillas 1 2018 A Hele-Shaw problem for tumor growth. Zbl 1377.35245Mellet, Antoine; Perthame, Benoît; Quirós, Fernando 25 2017 On interfaces between cell populations with different mobilities. Zbl 1359.35204Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît 17 2017 Distributed synaptic weights in a LIF neural network and learning rules. Zbl 1378.92006Perthame, Benoît; Salort, Delphine; Wainrib, Gilles 3 2017 Toward an integrated workforce planning framework using structured equations. Zbl 1403.90462Doumic, Marie; Perthame, Benoît; Ribes, Edouard; Salort, Delphine; Toubiana, Nathan 1 2017 Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway. Zbl 1358.35207Perthame, Benoît; Tang, Min; Vauchelet, Nicolas 19 2016 Notes on a PDE system for biological network formation. Zbl 1334.35101Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias 18 2016 Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027Perthame, Benoit; Souganidis, P. E. 17 2016 Uncertainty propagation; intrusive kinetic formulations of scalar conservation laws. Zbl 1362.35342Despres, Bruno; Perthame, Benoit 15 2016 Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes. Zbl 1345.60069Gess, Benjamin; Perthame, Benoît; Souganidis, Panagiotis E. 8 2016 Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E. 7 2016 Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors. Zbl 1334.92204Lorz, Alexander; Lorenzi, Tommaso; Clairambault, Jean; Escargueil, Alexandre; Perthame, Benoît 47 2015 Parabolic equations in biology. Growth, reaction, movement and diffusion. Zbl 1333.35001Perthame, Benoît 34 2015 Incompressible limit of a mechanical model of tumour growth with viscosity. Zbl 1353.35294Perthame, Benoît; Vauchelet, Nicolas 22 2015 Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience. Zbl 1336.35332Carrillo, José Antonio; Perthame, Benoît; Salort, Delphine; Smets, Didier 22 2015 Asymptotic analysis of a selection model with space. Zbl 1327.35011Mirrahimi, Sepideh; Perthame, Benoît 22 2015 Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120Haskovec, Jan; Markowich, Peter; Perthame, Benoit 21 2015 Time fluctuations in a population model of adaptive dynamics. Zbl 1312.35011Mirrahimi, Sepideh; Perthame, Benoît; Souganidis, Panagiotis E. 9 2015 A simple derivation of BV bounds for inhomogeneous relaxation systems. Zbl 1316.35183Perthame, Benoît; Seguin, Nicolas; Tournus, Magali 4 2015 Data assimilation for hyperbolic conservation laws: a Luenberger observer approach based on a kinetic description. Zbl 1329.35195Boulanger, Anne-Celine; Moireau, Philippe; Perthame, Benoît; Sainte-Marie, Jacques 3 2015 Dynamics of time elapsed inhomogeneous neuron network model. (Dynamique de réseaux de neurones inhomogènes structurés en âge.) Zbl 1337.92014Kang, Moon-Jin; Perthame, Benoît; Salort, Delphine 3 2015 Competition and boundary formation in heterogeneous media: application to neuronal differentiation. Zbl 1325.35237Perthame, Benoît; Quiñinao, Cristóbal; Touboul, Jonathan 1 2015 Transversal instability for the thermodiffusive reaction-diffusion system. Zbl 1328.35097Kowalczyk, Michal; Perthame, Benoît; Vauchelet, Nicolas 1 2015 The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis 62 2014 Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation. Zbl 1333.92009Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 28 2014 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 27 2014 Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient. Zbl 1366.92065Perthame, Benoît; Tang, Min; Vauchelet, Nicolas 20 2014 Derivation of a Hele-Shaw type system from a cell model with active motion. Zbl 1325.35092Perthame, Benoît; Quirós, Fernando; Tang, Min; Vauchelet, Nicholas 17 2014 Beyond blow-up in excitatory integrate and fire neuronal networks: refractory period and spontaneous activity. Zbl 1412.92001Cáceres, María J.; Perthame, Benoît 12 2014 Direct competition results from strong competition for limited resource. Zbl 1293.35346Mirrahimi, Sepideh; Perthame, Benoît; Wakano, Joe Yuichiro 9 2014 Some mathematical aspects of tumor growth and therapy. Zbl 1373.35322Perthame, Benoît 8 2014 Long-term behaviour of phenotypically structured models. Zbl 1371.92087Lorz, Alexander; Perthame, Benoît 4 2014 Composite waves for a cell population system modeling tumor growth and invasion. Zbl 1321.35249Tang, Min; Vauchelet, Nicolas; Cheddadi, Ibrahim; Vignon-Clementel, Irene; Drasdo, Dirk; Perthame, Benoît 2 2014 Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît 45 2013 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 35 2013 Relaxation and self-sustained oscillations in the time elapsed neuron network model. Zbl 1278.82046Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 33 2013 Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B. 26 2013 Optimal regularizing effect for scalar conservation laws. Zbl 1288.35343Golse, François; Perthame, Benoît 19 2013 Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 15 2013 Composite waves for a cell population system modeling tumor growth and invasion. Zbl 1346.92017Tang, Min; Vauchelet, Nicolas; Cheddadi, Ibrahim; Vignon-Clementel, Irene; Drasdo, Dirk; Perthame, Benoît 11 2013 On a voltage-conductance kinetic system for integrate & fire neural networks. Zbl 1284.35103Perthame, Benoît; Salort, Delphine 10 2013 Nonlinear stability of a Vlasov equation for magnetic plasmas. Zbl 1262.35197Charles, Frédérique; Després, Bruno; Perthame, Benoît; Sentis, Rémis 4 2013 Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration. Zbl 1253.35186Bouin, Emeric; Calvez, Vincent; Meunier, Nicolas; Mirrahimi, Sepideh; Perthame, Benoît; Raoul, Gaël; Voituriez, Raphaël 48 2012 Evolution of species trait through resource competition. Zbl 1279.92060Mirrahimi, Sepideh; Perthame, Benoît; Wakano, Joe Yuichiro 18 2012 Regularization in Keller-Segel type systems and the De Giorgi method. Zbl 1288.35146Perthame, Benoît; Vasseur, Alexis 8 2012 A singular Hamilton-Jacobi equation modeling the tail problem. Zbl 1280.35007Mirrahimi, Sepideh; Barles, Guy; Perthame, Benoît; Souganidis, Panagiotis E. 5 2012 Analysis of a simplified model of the urine concentration mechanism. Zbl 1262.35204Tournus, Magali; Edwards, Aurélie; Seguin, Nicolas; Perthame, Benoît 4 2012 Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît 62 2011 Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198Cáceres, María J.; Carrillo, José A.; Perthame, Benoît 50 2011 A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation. Zbl 1290.35194Audusse, Emmanuel; Bristeau, Marie-Odile; Perthame, Benoît; Sainte-Marie, Jacques 43 2011 Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038Nadin, Grégoire; Perthame, Benoît; Tang, Min 30 2011 A structured population model of cell differentiation. Zbl 1235.35030Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P. 24 2011 Travelling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities. Zbl 1223.35102Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas 22 2011 Population formulation of adaptative meso-evolution: theory and numerics. Zbl 1379.92052Mirrahimi, Sepideh; Perthame, Benoît; Bouin, Emeric; Millien, Pierre 9 2011 Waves for a hyperbolic Keller–Segel model and branching instabilities. Zbl 1221.35088Cerreti, Fiammetta; Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas 9 2011 A homogenization approach to flashing ratchets. Zbl 1209.35013Perthame, Benoît; Souganidis, Panagiotis E. 4 2011 Dynamics of a structured neuron population. Zbl 1267.35239Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 38 2010 Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039Calvez, V.; Lenuzza, N.; Doumic, M.; Deslys, J.-P.; Mouthon, F.; Perthame, B. 25 2010 Models of self-organizing bacterial communities and comparisons with experimental observations. Zbl 1184.35158Marrocco, A.; Henry, H.; Holland, I. B.; Plapp, M.; Séror, S. J.; Perthame, B. 5 2010 Survival thresholds and mortality rates in adaptive dynamics: conciliating deterministic and stochastic simulations. Zbl 1196.92031Perthame, Benoît; Gauduchon, Mathias 4 2010 Stability analysis of a simplified yet complete model for chronic myelogenous leukemia. Zbl 1203.92036Doumic-Jauffret, Marie; Kim, Peter S.; Perthame, Benoît 4 2010 The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya 124 2009 Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît 42 2009 Existence of solutions of the hyperbolic Keller-Segel model. Zbl 1180.35343Perthame, Benoît; Dalibard, Anne-Laure 32 2009 Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038Laurençot, Philippe; Perthame, Benoit 31 2009 Size distribution dependence of prion aggregates infectivity. Zbl 1161.92033Calvez, Vincent; Lenuzza, Natacha; Oelz, Dietmar; Deslys, Jean-Philippe; Laurent, Pascal; Mouthon, Franck; Perthame, Benoît 22 2009 Conservative cross diffusions and pattern formation through relaxation. Zbl 1179.35156Bendahmane, Mostafa; Lepoutre, Thomas; Marrocco, Americo; Perthame, Benoît 20 2009 Numerical solution of an inverse problem in size-structured population dynamics. Zbl 1161.92020Doumic, Marie; Perthame, Benoît; Zubelli, Jorge P. 16 2009 Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations. Zbl 1176.35031Chen, Gui-Qiang; Perthame, Benoît 15 2009 Asymmetric potentials and motor effect: a homogenization approach. Zbl 1180.35081Perthame, Benoît; Souganidis, Panagiotis E. 12 2009 ...and 158 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,386 Authors 141 Perthame, Benoît 63 Carrillo de la Plata, José Antonio 38 Winkler, Michael 35 Jabin, Pierre-Emmanuel 35 Zhang, Xianwen 34 Bouchut, François 32 Berthon, Christophe 32 Liu, Jianguo 31 Pareschi, Lorenzo 31 Shu, Chi-Wang 30 Calvez, Vincent 30 Fernández-Nieto, Enrique Domingo 28 Bellomo, Nicola 28 Chen, Gui-Qiang G. 28 Jin, Shi 28 Vauchelet, Nicolas 28 Yun, Seok-Bae 27 Kurganov, Alexander 27 Laurençot, Philippe 27 Lorenzi, Tommaso 26 Degond, Pierre 25 Karlsen, Kenneth Hvistendahl 24 Goudon, Thierry 24 Lu, Yunguang 24 Parés Madroñal, Carlos 24 Souganidis, Panagiotis E. 22 Mischler, Stéphane 22 Yang, Tong 21 Chalons, Christophe 21 Mai Duc Thanh 20 Gess, Benjamin 20 Golse, François 20 Hérard, Jean-Marc 20 Rein, Gerhard 20 Wang, Zhian 20 Zhan, Huashui 19 Ducomet, Bernard 19 Markowich, Peter Alexander 19 Xing, Yulong 18 Castro, Manuel J. 18 Dimarco, Giacomo 18 Doumic, Marie 18 Gosse, Laurent 18 Gwiazda, Piotr 18 Hu, Jingwei 18 Masmoudi, Nader 18 Mirrahimi, Sepideh 18 Tao, Youshan 18 Volpert, Vitaly A. 17 Barles, Guy 17 Coquel, Frédéric 17 Filbet, Francis 17 Huang, Feimin 17 Klingenberg, Christian 17 Lions, Pierre-Louis 17 Mangeney, Anne 17 Mieussens, Luc 17 Morales de Luna, Tomás 17 Natalini, Roberto 17 Soler, Juan S. 16 Desvillettes, Laurent 16 Gabriel, Pierre 16 Nečasová, Šárka 16 Popov, Boyan 16 Tadmor, Eitan 15 Andreianov, Boris 15 Chen, Li 15 Chertock, Alina E. 15 Martínez Gamba, Irene 15 Li, Gang 15 Liu, Hailiang 15 Risebro, Nils Henrik 15 Saint-Raymond, Laure 15 Salort, Delphine 15 Schaeffer, Jack W. 15 Schmeiser, Christian 15 Trofimchuk, Sergei I. 15 Velázquez, Juan J. L. 14 Bisi, Marzia 14 Bresch, Didier 14 Brull, Stephane 14 Castro-Díaz, Manuel Jesús 14 Escobedo Martínez, Miguel 14 Ha, Seung-Yeal 14 Li, Hailiang 14 Puppo, Gabriella 14 Zhang, Xiangxiong 13 Audusse, Emmanuel 13 Bouin, Emeric 13 Clairambault, Jean 13 Colombo, Rinaldo M. 13 Dumbser, Michael 13 Godlewski, Edwige 13 Guermond, Jean-Luc 13 Jüngel, Ansgar 13 Klingenberg, Christian F. 13 Lam, King-Yeung 13 LeFloch, Philippe Gerard 13 Raoul, Gaël 13 Sainte-Marie, Jacques ...and 4,286 more Authors all top 5 Cited in 376 Serials 300 Journal of Computational Physics 233 Journal of Differential Equations 152 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 126 Journal of Mathematical Analysis and Applications 114 Archive for Rational Mechanics and Analysis 109 Communications in Partial Differential Equations 91 SIAM Journal on Mathematical Analysis 89 Journal of Mathematical Biology 86 Journal of Scientific Computing 83 Computers and Fluids 81 Kinetic and Related Models 75 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 67 Journal of Statistical Physics 67 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 65 Journal de Mathématiques Pures et Appliquées. Neuvième Série 64 Communications in Mathematical Physics 61 Comptes Rendus. Mathématique. Académie des Sciences, Paris 54 Journal of Functional Analysis 52 Discrete and Continuous Dynamical Systems 52 Nonlinear Analysis. Real World Applications 52 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 50 Acta Applicandae Mathematicae 49 Mathematics of Computation 49 Discrete and Continuous Dynamical Systems. Series B 47 Applied Mathematics Letters 45 Journal of Mathematical Physics 44 Journal of Hyperbolic Differential Equations 43 SIAM Journal on Scientific Computing 39 Computers & Mathematics with Applications 39 Applied Mathematics and Computation 38 Mathematical Methods in the Applied Sciences 36 ZAMP. Zeitschrift für angewandte Mathematik und Physik 36 Numerische Mathematik 36 Mathematical and Computer Modelling 35 SIAM Journal on Numerical Analysis 33 Transactions of the American Mathematical Society 32 Bulletin of Mathematical Biology 30 Transport Theory and Statistical Physics 30 Physica D 30 European Journal of Mechanics. B. Fluids 30 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 30 Mathematical Biosciences and Engineering 30 Networks and Heterogeneous Media 29 Nonlinearity 28 Journal of Theoretical Biology 27 Journal of Fluid Mechanics 27 SIAM Journal on Applied Mathematics 26 Journal of Evolution Equations 25 NoDEA. Nonlinear Differential Equations and Applications 24 Journal of Computational and Applied Mathematics 24 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 23 Computer Methods in Applied Mechanics and Engineering 23 Quarterly of Applied Mathematics 22 Calculus of Variations and Partial Differential Equations 21 Communications on Pure and Applied Mathematics 21 Applied Mathematics and Optimization 21 Communications in Computational Physics 19 Applied Numerical Mathematics 19 Multiscale Modeling & Simulation 18 Chinese Annals of Mathematics. Series B 18 European Journal of Applied Mathematics 18 Applied Mathematical Modelling 18 Mathematical Modelling of Natural Phenomena 17 International Journal for Numerical Methods in Fluids 17 Mathematical Biosciences 17 Séminaire Laurent Schwartz. EDP et Applications 16 Applicable Analysis 16 Journal of Nonlinear Science 15 Physics of Fluids 14 Communications on Pure and Applied Analysis 14 Boundary Value Problems 13 Stochastic Processes and their Applications 13 Journal of Mathematical Fluid Mechanics 13 Journal of Biological Dynamics 13 Nonlinear Analysis. Theory, Methods & Applications 12 Proceedings of the American Mathematical Society 12 The Annals of Applied Probability 12 Journal of Dynamics and Differential Equations 12 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 12 International Journal on Finite Volumes 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 10 SIAM Journal on Control and Optimization 10 Acta Mathematica Scientia. Series B. (English Edition) 10 Annals of PDE 9 Japan Journal of Industrial and Applied Mathematics 9 Continuum Mechanics and Thermodynamics 9 Advances in Computational Mathematics 9 Science China. Mathematics 9 Stochastic and Partial Differential Equations. Analysis and Computations 9 SMAI Journal of Computational Mathematics 8 Advances in Mathematics 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 The Annals of Probability 8 Mathematische Annalen 8 Bulletin of the American Mathematical Society. New Series 8 International Journal of Computational Fluid Dynamics 8 Abstract and Applied Analysis 8 Bulletin of the Brazilian Mathematical Society. New Series 8 Analysis and Applications (Singapore) ...and 276 more Serials all top 5 Cited in 48 Fields 3,191 Partial differential equations (35-XX) 1,549 Fluid mechanics (76-XX) 1,200 Biology and other natural sciences (92-XX) 1,005 Numerical analysis (65-XX) 779 Statistical mechanics, structure of matter (82-XX) 296 Probability theory and stochastic processes (60-XX) 228 Integral equations (45-XX) 213 Calculus of variations and optimal control; optimization (49-XX) 134 Operator theory (47-XX) 133 Ordinary differential equations (34-XX) 99 Geophysics (86-XX) 96 Dynamical systems and ergodic theory (37-XX) 85 Optics, electromagnetic theory (78-XX) 84 Systems theory; control (93-XX) 72 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 71 Astronomy and astrophysics (85-XX) 70 Classical thermodynamics, heat transfer (80-XX) 68 Mechanics of deformable solids (74-XX) 46 Operations research, mathematical programming (90-XX) 43 Quantum theory (81-XX) 41 Functional analysis (46-XX) 41 Relativity and gravitational theory (83-XX) 34 Mechanics of particles and systems (70-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 26 Statistics (62-XX) 24 Global analysis, analysis on manifolds (58-XX) 21 Real functions (26-XX) 17 Differential geometry (53-XX) 15 Computer science (68-XX) 13 General and overarching topics; collections (00-XX) 11 Measure and integration (28-XX) 10 Integral transforms, operational calculus (44-XX) 7 Approximations and expansions (41-XX) 6 Functions of a complex variable (30-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Special functions (33-XX) 5 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 4 General topology (54-XX) 4 Mathematics education (97-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 1 Potential theory (31-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. Updates and corrections should be made in Wikidata.