Edit Profile Perthame, Benoît Compute Distance To: Compute Author ID: perthame.benoit Published as: Perthame, B.; Perthame, Benoit; Perthame, Benoît; Perthame, Benôıt External Links: MGP · Wikidata · GND Documents Indexed: 272 Publications since 1984, including 5 Books all top 5 Co-Authors 34 single-authored 20 Souganidis, Panagiotis E. 14 Lions, Pierre-Louis 12 Golse, François 11 Salort, Delphine 10 Tang, Min 10 Vauchelet, Nicolas 9 Jabin, Pierre-Emmanuel 9 Markowich, Peter Alexander 9 Mirrahimi, Sepideh 8 Lorz, Alexander 7 Barles, Guy 7 Bouchut, François 7 Calvez, Vincent 7 Clairambault, Jean 7 Mischler, Stéphane 7 Ryzhik, Lenya 6 Bardos, Claude Williams 5 Doumic, Marie 5 Le Tallec, Patrick 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 Nadin, Grégoire 4 Sentis, Remi 4 Stevens, Angela 4 Tadmor, Eitan 4 Vega, Luis 3 Andries, Pierre 3 Audusse, Emmanuel 3 Bourgat, Jean-François 3 Chen, Gui-Qiang G. 3 Godlewski, Edwige 3 Katsaounis, Theodoros 3 Laurençot, Philippe 3 Lorenzi, Tommaso 3 Michel, Philippe 3 Pakdaman, Khashayar 3 Qiu, Youchun 3 Quirós Gracián, Fernando 3 Rascle, Paul 3 Schmeiser, Christian 3 Simeoni, Chiara 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 Bubba, Federica 2 Cáceres, María-José 2 Cheddadi, Ibrahim 2 Deslys, Jean-Philippe 2 Després, Bruno 2 DiBenedetto, Emmanuele 2 Dolbeault, Jean 2 Drasdo, Dirk 2 El Amine, Khalid 2 Escobedo Martínez, Miguel 2 Esteban, Maria J. 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 Pouchol, Camille 2 Pulvirenti, Mario 2 Ribes, Edouard 2 Sainte-Marie, Jacques 2 Seguin, Nicolas 2 Stoufflet, Bruno 2 Sun, Weiran 2 Taing, Cécile 2 Tournus, Magali 2 Vasseur, Alexis F. 2 Vazquez, Juan Luis 2 Velázquez, Juan J. L. 2 Vignon-Clementel, Irene E. 2 Wakano, Joe Yuichiro 2 Zaag, Hatem 1 Almeida, Luis A. F. 1 Almeida, Luis Tadeu 1 Aoki, Kazuo 1 Batt, Jürgen 1 Belhadj, Mohamed 1 Bellomo, Nicola ...and 93 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 7 Journal of Differential Equations 7 Communications in Partial Differential Equations 6 Communications in Mathematical Physics 6 SIAM Journal on Numerical Analysis 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Communications in Mathematical Sciences 5 Journal of Mathematical Biology 5 Nonlinearity 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 SIAM Journal on Mathematical Analysis 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 Mathematics of Computation 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 Journal of Computational Physics 2 Journal of Statistical Physics 2 Mathematical Biosciences 2 Mathematical Methods in the Applied Sciences 2 Transport Theory and Statistical Physics 2 Bulletin of Mathematical Biology 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerische Mathematik 2 Japan Journal of Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Séminaire Équations aux Dérivées Partielles 2 Methods and Applications of Analysis 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 Physica D 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 Journal of Nonlinear Science 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 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Mathematical Medicine and Biology 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oxford Lecture Series in Mathematics and its Applications 1 Series on Advances in Mathematics for Applied Sciences 1 Journal of Theoretical Biology 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 SIAM/ASA Journal on Uncertainty Quantification 1 Séminaire Laurent Schwartz. EDP et Applications 1 Philosophical Transactions A. Royal Society of London 1 Frontiers in Mathematics 1 Lecture Notes on Mathematical Modelling in the Life Sciences ...and 2 more Serials all top 5 Fields 209 Partial differential equations (35-XX) 115 Biology and other natural sciences (92-XX) 77 Fluid mechanics (76-XX) 53 Statistical mechanics, structure of matter (82-XX) 37 Numerical analysis (65-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 18 Integral equations (45-XX) 11 Operator theory (47-XX) 10 Ordinary differential equations (34-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Probability theory and stochastic processes (60-XX) 7 Mechanics of deformable solids (74-XX) 7 Astronomy and astrophysics (85-XX) 5 General and overarching topics; collections (00-XX) 5 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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-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 236 Publications have been cited 6,320 times in 3,554 Documents Cited by ▼ Year ▼ Transport equations in biology. Zbl 1185.92006Perthame, Benoît 280 2007 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 255 2004 Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system. Zbl 0741.35061Lions, P. L.; Perthame, B. 188 1991 Regularity of the moments of the solution of a transport equation. Zbl 0652.47031Golse, François; Lions, Pierre-Louis; Perthame, Benoît; Sentis, Rémi 182 1988 Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions. Zbl 1112.35023Blanchet, Adrien; Dolbeault, Jean; Perthame, Benoit 179 2006 A kinetic formulation of multidimensional scalar conservation laws and related equations. Zbl 0820.35094Lions, P. L.; Perthame, B.; Tadmor, E. 155 1994 Global solutions of some chemotaxis and angiogenesis system in high space dimension. Zbl 1115.35136Corrias, L.; Perthame, Benoît; Zaag, H. 137 2004 Kinetic formulation of the isentropic gas dynamics and \(p\)-systems. Zbl 0799.35151Lions, P. L.; Perthame, B.; Tadmor, E. 125 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. 122 1996 Kinetic formulation of conservation laws. Zbl 1030.35002Perthame, Benoît 115 2002 Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation. Zbl 0997.76023Gerbeau, J.-F.; Perthame, B. 109 2001 Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian 103 2004 A kinetic scheme for the Saint-Venant system with a source term. Zbl 1008.65066Perthame, B.; Simeoni, C. 99 2001 General relative entropy inequality: an illustration on growth models. Zbl 1085.35042Michel, Philippe; Mischler, Stéphane; Perthame, Benoît 96 2005 The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya 90 2009 Exit time problems in optimal control and vanishing viscosity method. Zbl 0674.49027Barles, G.; Perthame, B. 84 1988 Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\). Zbl 1056.35076Dolbeault, Jean; Perthame, Benoît 82 2004 Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014Filbet, Francis; Laurençot, Philippe; Perthame, Benoît 80 2005 Discontinuous solutions of deterministic optimal stopping time problems. Zbl 0629.49017Barles, G.; Perthame, B. 78 1987 The dynamics of adaptation: An illuminating example and a Hamilton–Jacobi approach. Zbl 1072.92035Diekmann, Odo; Jabin, Pierre-Emanuel; Mischler, Stéphane; Perthame, Benoît 76 2005 The Gaussian-BGK model of Boltzmann equation with small Prandtl number. Zbl 0967.76082Andries, Pierre; Le Tallec, Patrick; Perlat, Jean-Philippe; Perthame, Benoît 72 2000 Second-order Boltzmann schemes for compressible Euler equations in one and two space dimensions. Zbl 0744.76088Perthame, B. 66 1992 Global existence to the BGK model of Boltzmann equation. Zbl 0694.35134Perthame, B. 64 1989 Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1031.35077Chen, Gui-Qiang; Perthame, Benoît 62 2003 Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069Bouchut, F.; Perthame, B. 61 1998 On positivity preserving finite volume schemes for Euler equations. Zbl 0857.76062Perthame, Benoit; Shu, Chi-Wang 61 1996 Relaxation of energy and approximate Riemann solvers for general pressure laws in fluid dynamics. Zbl 0960.76051Coquel, Frédéric; Perthame, Benoît 60 1998 A consistent BGK-type model for gas mixtures. Zbl 1001.82093Andries, Pierre; Aoki, Kazuo; Perthame, Benoit 57 2002 A kinetic equation with kinetic entropy functions for scalar conservation laws. Zbl 0729.76070Perthame, Benoit; Tadmor, Eitan 56 1991 Boltzmann type schemes for gas dynamics and the entropy property. Zbl 0714.76078Perthame, B. 55 1990 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 55 1985 Exponential decay for the fragmentation or cell-division equation. Zbl 1072.35195Perthame, Benoît; Ryzhik, Lenya 51 2005 PDE models for chemotactic movements: parabolic, hyperbolic and kinetic. Zbl 1099.35157Perthame, Benoît 50 2004 A chemotaxis model motivated by angiogenesis. Zbl 1028.35062Corrias, L.; Perthame, B.; Zaag, H. 50 2003 Gelation in coagulation and fragmentation models. Zbl 1016.82027Escobedo, M.; Mischler, S.; Perthame, B. 50 2002 The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation. Zbl 0655.35075Bardos, C.; Golse, F.; Perthame, B.; Sentis, R. 49 1988 Morrey-Campanato estimates for Helmholtz equations. Zbl 0932.35048Perthame, Benoit; Vega, Luis 47 1999 Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît 46 2011 A Fourier spectral method for homogeneous Boltzmann equations. Zbl 0870.76074Pareschi, Lorenzo; Perthame, Benoit 46 1996 On a boundary layer problem for the nonlinear Boltzmann equation. Zbl 0668.76089Golse, Francois; Perthame, Benoit; Sulem, Catherine 45 1988 Dirac concentrations in Lotka-Volterra parabolic PDEs. Zbl 1172.35005Perthame, Benoit; Barles, Guy 44 2008 Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure. Zbl 0919.35088Perthame, B. 43 1998 Gelation and mass conservation in coagulation-fragmentation models. Zbl 1133.82316Escobedo, M.; Laurençot, Ph.; Mischler, S.; Perthame, B. 42 2003 Equilibrium schemes for scalar conservation laws with stiff sources. Zbl 1017.65070Botchorishvili, Ramaz; Perthame, Benoit; Vasseur, Alexis 42 2003 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. 42 1997 Time decay, propagation of low moments and dispersive effects for kinetic equations. Zbl 0852.35139Perthame, B. 42 1996 Numerical passage from kinetic to fluid equations. Zbl 0718.76086Coron, F.; Perthame, B. 42 1991 The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis 41 2014 Mathematical tools for kinetic equations. Zbl 1151.82351Perthame, Benoît 38 2004 A limiting case for velocity averaging. Zbl 0956.45010Perthame, B.; Souganidis, P. E. 38 1998 Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies. Zbl 1071.35079Audusse, Emmanuel; Perthame, Benoît 37 2005 Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît 35 2013 Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198Cáceres, María J.; Carrillo, José A.; Perthame, Benoît 35 2011 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 33 2012 Microreversible collisions for polyatomic gases and Boltzmann’s theorem. Zbl 0807.76067Bourgat, J.-F.; Desvillettes, L.; Le Tallec, P.; Perthame, B. 33 1994 Weighted \(L^ \infty\) bounds and uniqueness for the Boltzmann BGK model. Zbl 0786.76072Perthame, B.; Pulvirenti, M. 33 1993 Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations. Zbl 0691.49028Barles, G.; Perthame, B. 33 1990 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 31 2015 Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît 31 2009 Dynamics of a structured neuron population. Zbl 1267.35239Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 30 2010 General entropy equations for structured population models and scattering. Zbl 1049.35070Michel, Philippe; Mischler, Stéphane; Perthame, Benoît 30 2004 On spherical symmetry solutions of the Euler-Poisson equation for the evolution of gaseous stars. Zbl 0743.35048Makino, Tetu; Perthame, Benoît 30 1990 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 29 2013 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 29 2003 Stability in a nonlinear population maturation model. Zbl 1020.92025Mischler, Stéphane; Perthame, Benoît; Ryzhik, Lenya 29 2002 Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces. Zbl 1134.92006Corrias, Lucilla; Perthame, Benoît 28 2008 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 27 2011 Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases. Zbl 1101.76377Andries, Pierre; Bourgat, Jean-François; le Tallec, Patrick; Perthame, Benoit 27 2002 Existence of solutions of the hyperbolic Keller-Segel model. Zbl 1180.35343Perthame, Benoît; Dalibard, Anne-Laure 26 2009 Coupling Boltzmann and Euler equations without overlapping. Zbl 0796.76063Bourgat, J. F.; Le Tallec, P.; Perthame, B.; Qiu, Y. 26 1994 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 24 2014 Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038Laurençot, Philippe; Perthame, Benoit 24 2009 Strichartz’ estimates for kinetic transport equations. Zbl 0848.35095Castella, François; Perthame, Benoît 24 1996 Non-existence of global solutions to Euler-Poisson equations for repulsive forces. Zbl 0717.35049Perthame, Benoît 24 1990 Relaxation and self-sustained oscillations in the time elapsed neuron network model. Zbl 1278.82046Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 23 2013 Concentration in the nonlocal Fisher equation: the Hamilton-Jacobi limit. Zbl 1337.35077Perthame, Benoît; Génieys, Stephane 23 2007 Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics. Zbl 1137.49027Barles, Guy; Perthame, Benoît 23 2007 Regularity and propagation of moments in some nonlinear Vlasov systems. Zbl 0984.35102Gasser, I.; Jabin, P.-E.; Perthame, B. 23 2000 A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091Bouchut, F.; Bourdarias, Ch.; Perthame, B. 23 1996 Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038Nadin, Grégoire; Perthame, Benoît; Tang, Min 22 2011 Boltzmann equation with infinite energy: Renormalized solutions and distributional solutions for small initial data and initial data close to a Maxwellian. Zbl 0889.35077Mischler, S.; Perthame, B. 22 1997 Remarks on Hamilton-Jacobi equations with measurable time-dependent Hamiltonians. Zbl 0688.35052Lions, P. L.; Perthame, B. 22 1987 Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B. 21 2013 Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039Calvez, V.; Lenuzza, N.; Doumic, M.; Deslys, J.-P.; Mouthon, F.; Perthame, B. 21 2010 Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya 21 2008 An age-and-cyclin-structured cell population model for healthy and tumoral tissues. Zbl 1148.92014Brikci, Fadia Bekkal; Clairambault, Jean; Ribba, Benjamin; Perthame, Benoît 21 2008 On the inverse problem for a size-structured population model. Zbl 1118.35072Perthame, Benoît; Zubelli, Jorge P. 21 2007 Some new Godunov and relaxation methods for two-phase flow problems. Zbl 1064.76545Coquel, F.; Godlewski, E.; Perthame, B.; In, A.; Rascle, P. 21 2001 Lemmes de moments, de moyenne et de dispersion. (Moments, averaging and dispersion lemmas). Zbl 0761.35085Lions, Pierre-Louis; Perthame, Benoît 20 1992 The Rosseland approximation for the radiative transfer equations. Zbl 0654.65095Bardos, C.; Golse, F.; Perthame, B. 20 1987 Generalized solutions of the radiative transfer equations in a singular case. Zbl 0614.35084Golse, F.; Perthame, B. 20 1986 Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît 19 2007 Modified Keller-Segel system and critical mass for the log interaction kernel. Zbl 1126.35077Calvez, Vincent; Perthame, Benoît; Sharifi tabar, Mohsen 19 2007 On the modified Enskog equation for elastic and inelastic collisions. Models with spin. Zbl 0850.70141Esteban, Maria J.; Perthame, Benoît 19 1991 Conservative cross diffusions and pattern formation through relaxation. Zbl 1179.35156Bendahmane, Mostafa; Lepoutre, Thomas; Marrocco, Americo; Perthame, Benoît 18 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 18 2009 Line-energy Ginzburg-Landau models: zero-energy states. Zbl 1072.35051Otto, Felix; Jabin, Pierre-Emmanuel; Perthame, Benoît 18 2002 High frequency limit of the Helmholtz equations. Zbl 1090.35165Benamou, Jean-David; Castella, François; Katsaounis, Theodoros; Perthame, Benoit 18 2002 A BGK model for small Prandtl number in the Navier-Stokes approximation. Zbl 0943.76500Bouchut, François; Perthame, Benoît 18 1993 Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation. Zbl 1333.92009Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 17 2014 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 3 2020 The flux limited Keller-Segel system; properties and derivation from kinetic equations. Zbl 1441.35056Perthame, Benoît; Vauchelet, Nicolas; Wang, Zhian 2 2020 Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations. Zbl 1423.35177Almeida, Luis; Bubba, Federica; Perthame, Benoît; Pouchol, Camille 6 2019 A two-species hyperbolic-parabolic model of tissue growth. Zbl 1425.35198Gwiazda, Piotr; Perthame, Benoît; Świerczewska-Gwiazda, Agnieszka 5 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 1 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 1 2019 Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller-Segel equation. Zbl 1397.92101Perthame, Benoît; Yasuda, Shugo 6 2018 Dynamics of concentration in a population model structured by age and a phenotypical trait. Zbl 1398.35251Nordmann, Samuel; Perthame, Benoît; Taing, Cécile 5 2018 Traveling wave and aggregation in a flux-limited Keller-Segel model. Zbl 1405.92030Calvez, Vincent; Perthame, Benoît; Yasuda, Shugo 4 2018 The fractional diffusion limit of a kinetic model with biochemical pathway. Zbl 1395.35015Perthame, Benoît; Sun, Weiran; Tang, Min 3 2018 Super-linear propagation for a general, local cane toads model. Zbl 1407.35112Henderson, Christopher; Perthame, Benoît; Souganidis, Panagiotis E. 1 2018 Long-time asymptotics for polymerization models. Zbl 1400.82316Calvo, Juan; Doumic, Marie; Perthame, Benoît 1 2018 A Hele-Shaw problem for tumor growth. Zbl 1377.35245Mellet, Antoine; Perthame, Benoît; Quirós, Fernando 16 2017 On interfaces between cell populations with different mobilities. Zbl 1359.35204Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît 8 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 12 2016 Notes on a PDE system for biological network formation. Zbl 1334.35101Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias 12 2016 Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027Perthame, Benoit; Souganidis, P. E. 11 2016 Uncertainty propagation; intrusive kinetic formulations of scalar conservation laws. Zbl 1362.35342Despres, Bruno; Perthame, Benoit 9 2016 Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes. Zbl 1345.60069Gess, Benjamin; Perthame, Benoît; Souganidis, Panagiotis E. 6 2016 Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E. 6 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 31 2015 Parabolic equations in biology. Growth, reaction, movement and diffusion. Zbl 1333.35001Perthame, Benoît 16 2015 Asymptotic analysis of a selection model with space. Zbl 1327.35011Mirrahimi, Sepideh; Perthame, Benoît 14 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 13 2015 Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120Haskovec, Jan; Markowich, Peter; Perthame, Benoit 13 2015 Incompressible limit of a mechanical model of tumour growth with viscosity. Zbl 1353.35294Perthame, Benoît; Vauchelet, Nicolas 10 2015 Time fluctuations in a population model of adaptive dynamics. Zbl 1312.35011Mirrahimi, Sepideh; Perthame, Benoît; Souganidis, Panagiotis E. 7 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 2 2015 Dynamics of time elapsed inhomogeneous neuron network model. Zbl 1337.92014Kang, Moon-Jin; Perthame, Benoît; Salort, Delphine 1 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 41 2014 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 24 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 17 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 13 2014 Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient. Zbl 1366.92065Perthame, Benoît; Tang, Min; Vauchelet, Nicolas 13 2014 Direct competition results from strong competition for limited resource. Zbl 1293.35346Mirrahimi, Sepideh; Perthame, Benoît; Wakano, Joe Yuichiro 8 2014 Beyond blow-up in excitatory integrate and fire neuronal networks: refractory period and spontaneous activity. Zbl 1412.92001Cáceres, María J.; Perthame, Benoît 7 2014 Some mathematical aspects of tumor growth and therapy. Zbl 1373.35322Perthame, Benoît 5 2014 Long-term behaviour of phenotypically structured models. Zbl 1371.92087Lorz, Alexander; Perthame, Benoît 3 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 1 2014 Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît 35 2013 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 29 2013 Relaxation and self-sustained oscillations in the time elapsed neuron network model. Zbl 1278.82046Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 23 2013 Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B. 21 2013 Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 14 2013 Optimal regularizing effect for scalar conservation laws. Zbl 1288.35343Golse, François; Perthame, Benoît 11 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 8 2013 On a voltage-conductance kinetic system for integrate & fire neural networks. Zbl 1284.35103Perthame, Benoît; Salort, Delphine 7 2013 Nonlinear stability of a Vlasov equation for magnetic plasmas. Zbl 1262.35197Charles, Frédérique; Després, Bruno; Perthame, Benoît; Sentis, Rémis 3 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 33 2012 Evolution of species trait through resource competition. Zbl 1279.92060Mirrahimi, Sepideh; Perthame, Benoît; Wakano, Joe Yuichiro 17 2012 Regularization in Keller-Segel type systems and the De Giorgi method. Zbl 1288.35146Perthame, Benoît; Vasseur, Alexis 5 2012 Analysis of a simplified model of the urine concentration mechanism. Zbl 1262.35204Tournus, Magali; Edwards, Aurélie; Seguin, Nicolas; Perthame, Benoît 3 2012 A singular Hamilton-Jacobi equation modeling the tail problem. Zbl 1280.35007Mirrahimi, Sepideh; Barles, Guy; Perthame, Benoît; Souganidis, Panagiotis E. 3 2012 Corrigendum to “An integro-differential equation model for alignment and orientational aggregation” [J. Differential Equations 246 (4) (2009) 1387-1421]. Zbl 1236.47045Kang, Kyungkeun; Perthame, Benoit; Stevens, Angela; Velázquez, J. J. L. 1 2012 Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît 46 2011 Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198Cáceres, María J.; Carrillo, José A.; Perthame, Benoît 35 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 27 2011 Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038Nadin, Grégoire; Perthame, Benoît; Tang, Min 22 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 17 2011 A structured population model of cell differentiation. Zbl 1235.35030Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P. 16 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 Population formulation of adaptative meso-evolution: theory and numerics. Zbl 1379.92052Mirrahimi, Sepideh; Perthame, Benoît; Bouin, Emeric; Millien, Pierre 7 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 30 2010 Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039Calvez, V.; Lenuzza, N.; Doumic, M.; Deslys, J.-P.; Mouthon, F.; Perthame, B. 21 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 Stability analysis of a simplified yet complete model for chronic myelogenous leukemia. Zbl 1203.92036Doumic-Jauffret, Marie; Kim, Peter S.; Perthame, Benoît 3 2010 Survival thresholds and mortality rates in adaptive dynamics: conciliating deterministic and stochastic simulations. Zbl 1196.92031Perthame, Benoît; Gauduchon, Mathias 3 2010 The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya 90 2009 Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît 31 2009 Existence of solutions of the hyperbolic Keller-Segel model. Zbl 1180.35343Perthame, Benoît; Dalibard, Anne-Laure 26 2009 Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038Laurençot, Philippe; Perthame, Benoit 24 2009 Conservative cross diffusions and pattern formation through relaxation. Zbl 1179.35156Bendahmane, Mostafa; Lepoutre, Thomas; Marrocco, Americo; Perthame, Benoît 18 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 18 2009 Numerical solution of an inverse problem in size-structured population dynamics. Zbl 1161.92020Doumic, Marie; Perthame, Benoît; Zubelli, Jorge P. 14 2009 Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations. Zbl 1176.35031Chen, Gui-Qiang; Perthame, Benoît 11 2009 An integro-differential equation model for alignment and orientational aggregation. Zbl 1157.47054Kang, Kyungkeun; Perthame, Benoit; Stevens, Angela; Velázquez, J. J. L. 11 2009 Asymmetric potentials and motor effect: a homogenization approach. Zbl 1180.35081Perthame, Benoît; Souganidis, Panagiotis E. 10 2009 Asymmetric potentials and motor effect: a large deviation approach. Zbl 1171.82012Perthame, Benoît; Souganidis, Panagiotis E. 5 2009 Why hyperbolic and kinetic models for cell populations self-organization? Zbl 1197.35297Perthame, Benoît 1 2009 Dirac concentrations in Lotka-Volterra parabolic PDEs. Zbl 1172.35005Perthame, Benoit; Barles, Guy 44 2008 Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces. Zbl 1134.92006Corrias, Lucilla; Perthame, Benoît 28 2008 Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya 21 2008 An age-and-cyclin-structured cell population model for healthy and tumoral tissues. Zbl 1148.92014Brikci, Fadia Bekkal; Clairambault, Jean; Ribba, Benjamin; Perthame, Benoît 21 2008 Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity. Zbl 1137.35020Perthame, Benoit; Vega, Luis 17 2008 Analysis of a molecular structured population model with possible polynomial growth for the cell division cycle. Zbl 1134.92012Brikci, Fadia Bekkal; Clairambault, Jean; Perthame, Benoît 16 2008 Global existence for a kinetic model of chemotaxis via dispersion and Strichartz estimates. Zbl 1137.92004Bournaveas, Nikolaos; Calvez, Vincent; Gutiérrez, Susana; Perthame, Benoît 15 2008 Mathematical methods and modeling of biophysical phenomena. Zbl 1155.92302Perthame, Benoit; Markowich, Peter; Zubelli, Jorge P. 2 2008 Analysis of a cell system with finite divisions. Zbl 1244.35153Perthame, Benôıt; Touaoula, Tarik Mohamed 1 2008 Transport equations in biology. Zbl 1185.92006Perthame, Benoît 280 2007 Concentration in the nonlocal Fisher equation: the Hamilton-Jacobi limit. Zbl 1337.35077Perthame, Benoît; Génieys, Stephane 23 2007 Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics. Zbl 1137.49027Barles, Guy; Perthame, Benoît 23 2007 On the inverse problem for a size-structured population model. Zbl 1118.35072Perthame, Benoît; Zubelli, Jorge P. 21 2007 Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît 19 2007 Modified Keller-Segel system and critical mass for the log interaction kernel. Zbl 1126.35077Calvez, Vincent; Perthame, Benoît; Sharifi tabar, Mohsen 19 2007 Adaptive dynamics via Hamilton-Jacobi approach and entropy methods for a juvenile-adult model. Zbl 1106.92053Carrillo, José Antonio; Cuadrado, Sílvia; Perthame, Benoît 12 2007 ...and 136 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,604 Authors 126 Perthame, Benoît 52 Carrillo de la Plata, José Antonio 31 Jabin, Pierre-Emmanuel 30 Bouchut, François 30 Shu, Chi-Wang 29 Zhang, Xianwen 28 Jin, Shi 27 Bellomo, Nicola 27 Calvez, Vincent 25 Kurganov, Alexander 25 Laurençot, Philippe 24 Berthon, Christophe 24 Chen, Gui-Qiang G. 24 Vauchelet, Nicolas 23 Winkler, Michael 22 Degond, Pierre 22 Fernández-Nieto, Enrique Domingo 22 Karlsen, Kenneth Hvistendahl 22 Liu, Jianguo 22 Souganidis, Panagiotis E. 21 Goudon, Thierry 21 Mischler, Stéphane 21 Pareschi, Lorenzo 21 Yang, Tong 19 Golse, François 19 Lorenzi, Tommaso 19 Lu, Yunguang 19 Markowich, Peter Alexander 19 Parés Madroñal, Carlos 19 Rein, Gerhard 18 Gosse, Laurent 18 Gwiazda, Piotr 18 Hérard, Jean-Marc 18 Yun, Seok-Bae 17 Barles, Guy 17 Bellouquid, Abdelghani 17 Chalons, Christophe 17 Lions, Pierre-Louis 17 Mai Duc Thanh 17 Natalini, Roberto 16 Filbet, Francis 16 Mirrahimi, Sepideh 15 Desvillettes, Laurent 15 Doumic, Marie 15 Ducomet, Bernard 15 Gess, Benjamin 15 Masmoudi, Nader 15 Mieussens, Luc 15 Saint-Raymond, Laure 15 Soler, Juan S. 15 Volpert, Vitaly A. 14 Andreianov, Boris 14 Coquel, Frédéric 14 Escobedo Martínez, Miguel 14 Martínez Gamba, Irene 14 Nečasová, Šárka 14 Schaeffer, Jack W. 14 Velázquez, Juan J. L. 14 Wang, Zhian 14 Xing, Yulong 13 Castro, Manuel J. 13 Chertock, Alina E. 13 Ha, Seung-Yeal 13 Huang, Feimin 13 Raoul, Gaël 13 Schmeiser, Christian 13 Zhang, Xiangxiong 12 Audusse, Emmanuel 12 Bouin, Emeric 12 Bresch, Didier 12 Gabriel, Pierre 12 Lemou, Mohammed 12 Liu, Hailiang 12 Lorz, Alexander 12 Popov, Boyan 12 Risebro, Nils Henrik 12 Tadmor, Eitan 11 Biler, Piotr 11 Chen, Zili 11 Clairambault, Jean 11 Dimarco, Giacomo 11 Hwang, Hyung Ju 11 Jüngel, Ansgar 11 Klar, Axel 11 LeFloch, Philippe Gerard 11 Lian, Ruxu 11 Mangeney, Anne 11 Puppo, Gabriella 11 Rendall, Alan D. 11 Tao, Youshan 11 Trofimchuk, Sergei I. 11 Vega, Luis 11 Zheng, Jiashan 10 Bisi, Marzia 10 Bourdarias, Christian 10 Bristeau, Marie-Odile 10 Delitala, Marcello 10 Dumbser, Michael 10 Fox, Rodney O. 10 Godlewski, Edwige ...and 3,504 more Authors all top 5 Cited in 322 Serials 228 Journal of Computational Physics 191 Journal of Differential Equations 139 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 115 Journal of Mathematical Analysis and Applications 97 Communications in Partial Differential Equations 95 Archive for Rational Mechanics and Analysis 76 Journal of Mathematical Biology 71 Computers and Fluids 69 Journal of Scientific Computing 63 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 62 SIAM Journal on Mathematical Analysis 62 Kinetic and Related Models 60 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 60 Comptes Rendus. Mathématique. Académie des Sciences, Paris 56 Journal de Mathématiques Pures et Appliquées. Neuvième Série 55 Journal of Statistical Physics 53 Communications in Mathematical Physics 47 Mathematics of Computation 47 Journal of Functional Analysis 44 Discrete and Continuous Dynamical Systems 41 Applied Mathematics Letters 40 Nonlinear Analysis. Real World Applications 39 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 38 Journal of Mathematical Physics 38 Mathematical Methods in the Applied Sciences 38 Journal of Hyperbolic Differential Equations 37 Discrete and Continuous Dynamical Systems. Series B 36 Mathematical and Computer Modelling 32 Numerische Mathematik 30 Computers & Mathematics with Applications 30 Transport Theory and Statistical Physics 30 Acta Applicandae Mathematicae 30 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 29 ZAMP. Zeitschrift für angewandte Mathematik und Physik 29 Transactions of the American Mathematical Society 27 SIAM Journal on Numerical Analysis 27 European Journal of Mechanics. B. Fluids 26 Nonlinearity 26 Bulletin of Mathematical Biology 24 Applied Mathematics and Computation 24 Journal of Theoretical Biology 23 Physica D 22 SIAM Journal on Scientific Computing 21 Communications on Pure and Applied Mathematics 21 Quarterly of Applied Mathematics 20 Journal of Fluid Mechanics 20 NoDEA. Nonlinear Differential Equations and Applications 19 Computer Methods in Applied Mechanics and Engineering 19 Journal of Computational and Applied Mathematics 19 Networks and Heterogeneous Media 18 Applied Mathematics and Optimization 18 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 17 International Journal for Numerical Methods in Fluids 17 Chinese Annals of Mathematics. Series B 17 Calculus of Variations and Partial Differential Equations 16 Mathematical Biosciences 16 SIAM Journal on Applied Mathematics 16 Journal of Evolution Equations 15 Physics of Fluids 15 Multiscale Modeling & Simulation 14 Applied Mathematical Modelling 14 Mathematical Biosciences and Engineering 14 Nonlinear Analysis. Theory, Methods & Applications 13 Mathematical Modelling of Natural Phenomena 13 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 12 Applied Numerical Mathematics 12 Journal of Biological Dynamics 11 Proceedings of the American Mathematical Society 11 Stochastic Processes and their Applications 10 Applicable Analysis 10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 European Journal of Applied Mathematics 9 The Annals of Applied Probability 9 Journal of Nonlinear Science 9 Continuum Mechanics and Thermodynamics 9 Communications on Pure and Applied Analysis 8 Advances in Mathematics 8 Japan Journal of Industrial and Applied Mathematics 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Bulletin of the American Mathematical Society. New Series 8 Journal of Dynamics and Differential Equations 8 Analysis and Applications (Singapore) 8 Boundary Value Problems 8 Séminaire Laurent Schwartz. EDP et Applications 7 Journal of Engineering Mathematics 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 The Annals of Probability 7 Mathematische Annalen 7 Monatshefte für Mathematik 7 Revista Matemática Iberoamericana 7 Numerical Methods for Partial Differential Equations 7 Journal of Mathematical Sciences (New York) 7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 7 Abstract and Applied Analysis 7 Journal of Mathematical Fluid Mechanics 7 Bulletin of the Brazilian Mathematical Society. New Series 7 Stochastic and Partial Differential Equations. Analysis and Computations 7 SMAI Journal of Computational Mathematics 6 Journal of Optimization Theory and Applications 6 Ricerche di Matematica ...and 222 more Serials all top 5 Cited in 48 Fields 2,469 Partial differential equations (35-XX) 1,205 Fluid mechanics (76-XX) 908 Biology and other natural sciences (92-XX) 750 Numerical analysis (65-XX) 634 Statistical mechanics, structure of matter (82-XX) 220 Probability theory and stochastic processes (60-XX) 192 Integral equations (45-XX) 183 Calculus of variations and optimal control; optimization (49-XX) 119 Ordinary differential equations (34-XX) 107 Operator theory (47-XX) 79 Dynamical systems and ergodic theory (37-XX) 79 Geophysics (86-XX) 65 Systems theory; control (93-XX) 64 Optics, electromagnetic theory (78-XX) 62 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 61 Astronomy and astrophysics (85-XX) 57 Mechanics of deformable solids (74-XX) 50 Classical thermodynamics, heat transfer (80-XX) 37 Operations research, mathematical programming (90-XX) 34 Relativity and gravitational theory (83-XX) 33 Functional analysis (46-XX) 33 Quantum theory (81-XX) 30 Mechanics of particles and systems (70-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Statistics (62-XX) 16 Differential geometry (53-XX) 15 Real functions (26-XX) 10 Computer science (68-XX) 7 General and overarching topics; collections (00-XX) 6 Measure and integration (28-XX) 6 Integral transforms, operational calculus (44-XX) 5 Combinatorics (05-XX) 5 Approximations and expansions (41-XX) 5 Information and communication theory, circuits (94-XX) 4 Functions of a complex variable (30-XX) 3 History and biography (01-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 General topology (54-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Mathematics education (97-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 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.