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: 282 Publications since 1984, including 4 Books 6 Contributions as Editor · 2 Further Contributions Co-Authors: 198 Co-Authors with 253 Joint Publications 4,430 Co-Co-Authors all top 5 Co-Authors 34 single-authored 20 Souganidis, Panagiotis E. 14 Lions, Pierre-Louis 13 Golse, François 13 Salort, Delphine 12 Vauchelet, Nicolas 11 Tang, Min 9 Jabin, Pierre-Emmanuel 9 Markowich, Peter Alexander 9 Mirrahimi, Sepideh 8 Bouchut, François 8 Lorz, Alexander 7 Barles, Guy 7 Calvez, Vincent 7 Clairambault, Jean 7 Mischler, Stéphane 7 Ryzhik, Lenya 6 Bardos, Claude Williams 6 Doumic, Marie 5 Le Tallec, Patrick 5 Nadin, Grégoire 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 Sentis, Remi 4 Stevens, Angela 4 Tadmor, Eitan 4 Vega, Luis 3 Andries, Pierre 3 Audusse, Emmanuel 3 Bourgat, Jean-François 3 Cáceres, María-José 3 Chen, Gui-Qiang G. 3 Godlewski, Edwige 3 Katsaounis, Theodoros 3 Laurençot, Philippe 3 Lorenzi, Tommaso 3 Michel, Philippe 3 Pakdaman, Khashayar 3 Pulvirenti, Mario 3 Quirós Gracián, Fernando 3 Rascle, Paul 3 Schmeiser, Christian 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 Bubba, Federica 2 Cheddadi, Ibrahim 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 G. 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 Qiu, Youchun 2 Ribes, Edouard 2 Sainte-Marie, Jacques 2 Schmidtchen, Markus 2 Seguin, Nicolas 2 Stoufflet, Bruno 2 Strugarek, Martin 2 Sun, Weiran 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 Ambrosi, Davide 1 Aoki, Kazuo 1 Bellomo, Nicola ...and 114 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 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Communications in Partial Differential Equations 7 SIAM Journal on Mathematical Analysis 6 Communications in Mathematical Physics 6 Journal of Mathematical Biology 6 SIAM Journal on Numerical Analysis 6 Communications in Mathematical Sciences 5 Nonlinearity 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 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 Lecture Notes in Mathematics 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 EMS Surveys in Mathematical Sciences 1 Séminaire Laurent Schwartz. EDP et Applications ...and 6 more Serials all top 5 Fields 224 Partial differential equations (35-XX) 126 Biology and other natural sciences (92-XX) 80 Fluid mechanics (76-XX) 54 Statistical mechanics, structure of matter (82-XX) 39 Numerical analysis (65-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 20 Integral equations (45-XX) 11 Ordinary differential equations (34-XX) 11 Operator theory (47-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Probability theory and stochastic processes (60-XX) 8 Mechanics of deformable solids (74-XX) 7 General and overarching topics; collections (00-XX) 7 Astronomy and astrophysics (85-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 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 251 Publications have been cited 7,347 times in 4,180 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 314 2004 Transport equations in biology. Zbl 1185.92006Perthame, Benoît 304 2007 Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system. Zbl 0741.35061Lions, P. L.; Perthame, B. 218 1991 Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions. Zbl 1112.35023Blanchet, Adrien; Dolbeault, Jean; Perthame, Benoit 197 2006 Regularity of the moments of the solution of a transport equation. Zbl 0652.47031Golse, François; Lions, Pierre-Louis; Perthame, Benoît; Sentis, Rémi 192 1988 A kinetic formulation of multidimensional scalar conservation laws and related equations. Zbl 0820.35094Lions, P. L.; Perthame, B.; Tadmor, E. 178 1994 Global solutions of some chemotaxis and angiogenesis system in high space dimension. Zbl 1115.35136Corrias, L.; Perthame, Benoît; Zaag, H. 161 2004 Kinetic formulation of the isentropic gas dynamics and \(p\)-systems. Zbl 0799.35151Lions, P. L.; Perthame, B.; Tadmor, E. 145 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. 138 1996 Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation. Zbl 0997.76023Gerbeau, J.-F.; Perthame, B. 126 2001 Kinetic formulation of conservation laws. Zbl 1030.35002Perthame, Benoît 121 2002 A kinetic scheme for the Saint-Venant system with a source term. Zbl 1008.65066Perthame, B.; Simeoni, C. 118 2001 The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya 114 2009 Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian 113 2004 General relative entropy inequality: an illustration on growth models. Zbl 1085.35042Michel, Philippe; Mischler, Stéphane; Perthame, Benoît 111 2005 Exit time problems in optimal control and vanishing viscosity method. Zbl 0674.49027Barles, G.; Perthame, B. 95 1988 Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\). Zbl 1056.35076Dolbeault, Jean; Perthame, Benoît 94 2004 Discontinuous solutions of deterministic optimal stopping time problems. Zbl 0629.49017Barles, G.; Perthame, B. 91 1987 The dynamics of adaptation: An illuminating example and a Hamilton–Jacobi approach. Zbl 1072.92035Diekmann, Odo; Jabin, Pierre-Emanuel; Mischler, Stéphane; Perthame, Benoît 89 2005 The Gaussian-BGK model of Boltzmann equation with small Prandtl number. Zbl 0967.76082Andries, Pierre; Le Tallec, Patrick; Perlat, Jean-Philippe; Perthame, Benoît 86 2000 Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014Filbet, Francis; Laurençot, Philippe; Perthame, Benoît 81 2005 Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1031.35077Chen, Gui-Qiang; Perthame, Benoît 77 2003 On positivity preserving finite volume schemes for Euler equations. Zbl 0857.76062Perthame, Benoit; Shu, Chi-Wang 75 1996 Second-order Boltzmann schemes for compressible Euler equations in one and two space dimensions. Zbl 0744.76088Perthame, B. 73 1992 Global existence to the BGK model of Boltzmann equation. Zbl 0694.35134Perthame, B. 71 1989 Relaxation of energy and approximate Riemann solvers for general pressure laws in fluid dynamics. Zbl 0960.76051Coquel, Frédéric; Perthame, Benoît 69 1998 A consistent BGK-type model for gas mixtures. Zbl 1001.82093Andries, Pierre; Aoki, Kazuo; Perthame, Benoit 68 2002 Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069Bouchut, F.; Perthame, B. 63 1998 Boltzmann type schemes for gas dynamics and the entropy property. Zbl 0714.76078Perthame, B. 60 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 59 1985 PDE models for chemotactic movements: parabolic, hyperbolic and kinetic. Zbl 1099.35157Perthame, Benoît 58 2004 A kinetic equation with kinetic entropy functions for scalar conservation laws. Zbl 0729.76070Perthame, Benoit; Tadmor, Eitan 57 1991 The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis 56 2014 Exponential decay for the fragmentation or cell-division equation. Zbl 1072.35195Perthame, Benoît; Ryzhik, Lenya 56 2005 A Fourier spectral method for homogeneous Boltzmann equations. Zbl 0870.76074Pareschi, Lorenzo; Perthame, Benoit 56 1996 Gelation in coagulation and fragmentation models. Zbl 1016.82027Escobedo, M.; Mischler, S.; Perthame, B. 54 2002 Dirac concentrations in Lotka-Volterra parabolic PDEs. Zbl 1172.35005Perthame, Benoit; Barles, Guy 54 2008 Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît 54 2011 A chemotaxis model motivated by angiogenesis. Zbl 1028.35062Corrias, L.; Perthame, B.; Zaag, H. 53 2003 The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation. Zbl 0655.35075Bardos, C.; Golse, F.; Perthame, B.; Sentis, R. 52 1988 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048Bouchut, François; Golse, François; Pulvirenti, Mario 51 2000 Morrey-Campanato estimates for Helmholtz equations. Zbl 0932.35048Perthame, Benoit; Vega, Luis 49 1999 Numerical passage from kinetic to fluid equations. Zbl 0718.76086Coron, F.; Perthame, B. 49 1991 Gelation and mass conservation in coagulation-fragmentation models. Zbl 1133.82316Escobedo, M.; Laurençot, Ph.; Mischler, S.; Perthame, B. 48 2003 On a boundary layer problem for the nonlinear Boltzmann equation. Zbl 0668.76089Golse, Francois; Perthame, Benoit; Sulem, Catherine 47 1988 Time decay, propagation of low moments and dispersive effects for kinetic equations. Zbl 0852.35139Perthame, B. 47 1996 Equilibrium schemes for scalar conservation laws with stiff sources. Zbl 1017.65070Botchorishvili, Ramaz; Perthame, Benoit; Vasseur, Alexis 47 2003 Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198Cáceres, María J.; Carrillo, José A.; Perthame, Benoît 46 2011 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 Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies. Zbl 1071.35079Audusse, Emmanuel; Perthame, Benoît 44 2005 A limiting case for velocity averaging. Zbl 0956.45010Perthame, B.; Souganidis, P. E. 43 1998 Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure. Zbl 0919.35088Perthame, B. 43 1998 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 43 2012 Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît 42 2013 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 42 2015 Mathematical tools for kinetic equations. Zbl 1151.82351Perthame, Benoît 40 2004 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 40 2011 Weighted \(L^ \infty\) bounds and uniqueness for the Boltzmann BGK model. Zbl 0786.76072Perthame, B.; Pulvirenti, M. 38 1993 Microreversible collisions for polyatomic gases and Boltzmann’s theorem. Zbl 0807.76067Bourgat, J.-F.; Desvillettes, L.; Le Tallec, P.; Perthame, B. 37 1994 Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît 37 2009 Dynamics of a structured neuron population. Zbl 1267.35239Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 36 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 35 2003 Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations. Zbl 0691.49028Barles, G.; Perthame, B. 35 1990 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 35 1990 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 33 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 33 2002 Relaxation and self-sustained oscillations in the time elapsed neuron network model. Zbl 1278.82046Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 31 2013 Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces. Zbl 1134.92006Corrias, Lucilla; Perthame, Benoît 31 2008 Stability in a nonlinear population maturation model. Zbl 1020.92025Mischler, Stéphane; Perthame, Benoît; Ryzhik, Lenya 31 2002 Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038Laurençot, Philippe; Perthame, Benoit 31 2009 General entropy equations for structured population models and scattering. Zbl 1049.35070Michel, Philippe; Mischler, Stéphane; Perthame, Benoît 30 2004 Existence of solutions of the hyperbolic Keller-Segel model. Zbl 1180.35343Perthame, Benoît; Dalibard, Anne-Laure 30 2009 Regularity and propagation of moments in some nonlinear Vlasov systems. Zbl 0984.35102Gasser, I.; Jabin, P.-E.; Perthame, B. 29 2000 Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038Nadin, Grégoire; Perthame, Benoît; Tang, Min 29 2011 Concentration in the nonlocal Fisher equation: the Hamilton-Jacobi limit. Zbl 1337.35077Perthame, Benoît; Génieys, Stephane 29 2007 A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091Bouchut, F.; Bourdarias, Ch.; Perthame, B. 28 1996 Non-existence of global solutions to Euler-Poisson equations for repulsive forces. Zbl 0717.35049Perthame, Benoît 28 1990 Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B. 26 2013 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 26 2014 Strichartz’ estimates for kinetic transport equations. (Estimations de Strichartz pour les équations de transport cinétique.) Zbl 0848.35095Castella, François; Perthame, Benoît 26 1996 Remarks on Hamilton-Jacobi equations with measurable time-dependent Hamiltonians. Zbl 0688.35052Lions, P. L.; Perthame, B. 26 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 26 2014 Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya 26 2008 Parabolic equations in biology. Growth, reaction, movement and diffusion. Zbl 1333.35001Perthame, Benoît 26 2015 Some new Godunov and relaxation methods for two-phase flow problems. Zbl 1064.76545Coquel, F.; Godlewski, E.; Perthame, B.; In, A.; Rascle, P. 25 2001 Coupling Boltzmann and Euler equations without overlapping. Zbl 0796.76063Bourgat, J. F.; Le Tallec, P.; Perthame, B.; Qiu, Y. 25 1994 Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics. Zbl 1137.49027Barles, Guy; Perthame, Benoît 25 2007 An age-and-cyclin-structured cell population model for healthy and tumoral tissues. Zbl 1148.92014Brikci, Fadia Bekkal; Clairambault, Jean; Ribba, Benjamin; Perthame, Benoît 24 2008 The Rosseland approximation for the radiative transfer equations. Zbl 0654.65095Bardos, C.; Golse, F.; Perthame, B. 23 1987 A Hele-Shaw problem for tumor growth. Zbl 1377.35245Mellet, Antoine; Perthame, Benoît; Quirós, Fernando 22 2017 On the inverse problem for a size-structured population model. Zbl 1118.35072Perthame, Benoît; Zubelli, Jorge P. 22 2007 A structured population model of cell differentiation. Zbl 1235.35030Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P. 22 2011 Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039Calvez, V.; Lenuzza, N.; Doumic, M.; Deslys, J.-P.; Mouthon, F.; Perthame, B. 22 2010 Generalized solutions of the radiative transfer equations in a singular case. Zbl 0614.35084Golse, F.; Perthame, B. 21 1986 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. 21 1997 Size distribution dependence of prion aggregates infectivity. Zbl 1161.92033Calvez, Vincent; Lenuzza, Natacha; Oelz, Dietmar; Deslys, Jean-Philippe; Laurent, Pascal; Mouthon, Franck; Perthame, Benoît 21 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 21 2011 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 21 2015 Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120Haskovec, Jan; Markowich, Peter; Perthame, Benoit 21 2015 Line-energy Ginzburg-Landau models: zero-energy states. Zbl 1072.35051Otto, Felix; Jabin, Pierre-Emmanuel; Perthame, Benoît 20 2002 Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M. 2 2021 Existence of a global weak solution for a reaction-diffusion problem with membrane conditions. Zbl 1470.35179Ciavolella, Giorgia; Perthame, Benoît 2 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 2 2021 Free boundary limit of a tumor growth model with nutrient. Zbl 1478.35210David, Noemi; Perthame, Benoît 2 2021 Fokker-Plank system for movement of micro-organism population in confined environment. Zbl 1472.35388Fu, Jingyi; Perthame, Benoit; Tang, Min 1 2021 Sharp long-time asymptotics for chemotaxis with free boundary. Zbl 1467.35053Li, Hai-Liang; Perthame, Benoít; Wen, Xinmei 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 11 2020 The flux limited Keller-Segel system; properties and derivation from kinetic equations. Zbl 1441.35056Perthame, Benoît; Vauchelet, Nicolas; Wang, Zhian 6 2020 Multiple asymptotics of kinetic equations with internal states. Zbl 1450.35034Perthame, Benoit; Sun, Weiran; Tang, Min; Yasuda, Shugo 3 2020 Reaction-diffusion systems with initial data of low regularity. Zbl 1448.35291Laamri, El-Haj; Perthame, Benoît 2 2020 Transport distances for PDEs: the coupling method. Zbl 1459.35037Fournier, Nicolas; Perthame, Benoît 1 2020 Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations. Zbl 1423.35177Almeida, Luis; Bubba, Federica; Perthame, Benoît; Pouchol, Camille 13 2019 A two-species hyperbolic-parabolic model of tissue growth. Zbl 1425.35198Gwiazda, Piotr; Perthame, Benoît; Świerczewska-Gwiazda, Agnieszka 9 2019 Backward parabolicity, cross-diffusion and Turing instability. Zbl 1411.35165Moussa, Ayman; Perthame, Benoît; Salort, Delphine 5 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 3 2019 Implicit and semi-implicit numerical schemes for the gradient flow of the formation of biological transport networks. Zbl 1437.65095Fang, Di; Jin, Shi; Markowich, Peter; Perthame, Benoît 3 2019 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 11 2018 Traveling wave and aggregation in a flux-limited Keller-Segel model. Zbl 1405.92030Calvez, Vincent; Perthame, Benoît; Yasuda, Shugo 8 2018 Dynamics of concentration in a population model structured by age and a phenotypical trait. Zbl 1398.35251Nordmann, Samuel; Perthame, Benoît; Taing, Cécile 7 2018 The fractional diffusion limit of a kinetic model with biochemical pathway. Zbl 1395.35015Perthame, Benoît; Sun, Weiran; Tang, Min 6 2018 Long-time asymptotics for polymerization models. Zbl 1400.82316Calvo, Juan; Doumic, Marie; Perthame, Benoît 3 2018 Super-linear propagation for a general, local cane toads model. Zbl 1407.35112Henderson, Christopher; Perthame, Benoît; Souganidis, Panagiotis E. 2 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 22 2017 On interfaces between cell populations with different mobilities. Zbl 1359.35204Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît 14 2017 Distributed synaptic weights in a LIF neural network and learning rules. Zbl 1378.92006Perthame, Benoît; Salort, Delphine; Wainrib, Gilles 2 2017 Toward an integrated workforce planning framework using structured equations. Zbl 1403.90462Doumic, Marie; Perthame, Benoît; Ribes, Edouard; Salort, Delphine; Toubiana, Nathan 1 2017 Notes on a PDE system for biological network formation. Zbl 1334.35101Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias 18 2016 Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway. Zbl 1358.35207Perthame, Benoît; Tang, Min; Vauchelet, Nicolas 18 2016 Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027Perthame, Benoit; Souganidis, P. E. 14 2016 Uncertainty propagation; intrusive kinetic formulations of scalar conservation laws. Zbl 1362.35342Despres, Bruno; Perthame, Benoit 13 2016 Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes. Zbl 1345.60069Gess, Benjamin; Perthame, Benoît; Souganidis, Panagiotis E. 7 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 42 2015 Parabolic equations in biology. Growth, reaction, movement and diffusion. Zbl 1333.35001Perthame, Benoît 26 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 21 2015 Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120Haskovec, Jan; Markowich, Peter; Perthame, Benoit 21 2015 Asymptotic analysis of a selection model with space. Zbl 1327.35011Mirrahimi, Sepideh; Perthame, Benoît 20 2015 Incompressible limit of a mechanical model of tumour growth with viscosity. Zbl 1353.35294Perthame, Benoît; Vauchelet, Nicolas 16 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 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 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 Transversal instability for the thermodiffusive reaction-diffusion system. Zbl 1328.35097Kowalczyk, Michal; Perthame, Benoît; Vauchelet, Nicolas 1 2015 Competition and boundary formation in heterogeneous media: application to neuronal differentiation. Zbl 1325.35237Perthame, Benoît; Quiñinao, Cristóbal; Touboul, Jonathan 1 2015 The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis 56 2014 Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 26 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 26 2014 Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient. Zbl 1366.92065Perthame, Benoît; Tang, Min; Vauchelet, Nicolas 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 16 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 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 42 2013 Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 33 2013 Relaxation and self-sustained oscillations in the time elapsed neuron network model. Zbl 1278.82046Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine 31 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 15 2013 Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E. 14 2013 On a voltage-conductance kinetic system for integrate & fire neural networks. Zbl 1284.35103Perthame, Benoît; Salort, Delphine 10 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 10 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 43 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 4 2012 A singular Hamilton-Jacobi equation modeling the tail problem. Zbl 1280.35007Mirrahimi, Sepideh; Barles, Guy; Perthame, Benoît; Souganidis, Panagiotis E. 3 2012 Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît 54 2011 Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198Cáceres, María J.; Carrillo, José A.; Perthame, Benoît 46 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 40 2011 Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038Nadin, Grégoire; Perthame, Benoît; Tang, Min 29 2011 A structured population model of cell differentiation. Zbl 1235.35030Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P. 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 21 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 36 2010 Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039Calvez, V.; Lenuzza, N.; Doumic, M.; Deslys, J.-P.; Mouthon, F.; Perthame, B. 22 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 3 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 The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya 114 2009 Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît 37 2009 Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038Laurençot, Philippe; Perthame, Benoit 31 2009 Existence of solutions of the hyperbolic Keller-Segel model. Zbl 1180.35343Perthame, Benoît; Dalibard, Anne-Laure 30 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 21 2009 Conservative cross diffusions and pattern formation through relaxation. Zbl 1179.35156Bendahmane, Mostafa; Lepoutre, Thomas; Marrocco, Americo; Perthame, Benoît 19 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 13 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. 11 2009 Asymmetric potentials and motor effect: a large deviation approach. Zbl 1171.82012Perthame, Benoît; Souganidis, Panagiotis E. 6 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 54 2008 Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces. Zbl 1134.92006Corrias, Lucilla; Perthame, Benoît 31 2008 Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya 26 2008 ...and 151 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,026 Authors 137 Perthame, Benoît 61 Carrillo de la Plata, José Antonio 35 Jabin, Pierre-Emmanuel 33 Bouchut, François 33 Winkler, Michael 33 Zhang, Xianwen 31 Shu, Chi-Wang 29 Berthon, Christophe 29 Calvez, Vincent 29 Fernández-Nieto, Enrique Domingo 29 Liu, Jianguo 28 Bellomo, Nicola 28 Vauchelet, Nicolas 27 Chen, Gui-Qiang G. 27 Kurganov, Alexander 26 Jin, Shi 26 Laurençot, Philippe 26 Yun, Seok-Bae 25 Lorenzi, Tommaso 25 Pareschi, Lorenzo 24 Degond, Pierre 23 Goudon, Thierry 23 Karlsen, Kenneth Hvistendahl 23 Lu, Yunguang 22 Mischler, Stéphane 22 Souganidis, Panagiotis E. 21 Parés Madroñal, Carlos 21 Yang, Tong 20 Hérard, Jean-Marc 20 Mai Duc Thanh 20 Rein, Gerhard 19 Golse, François 19 Markowich, Peter Alexander 19 Wang, Zhian 18 Chalons, Christophe 18 Doumic, Marie 18 Ducomet, Bernard 18 Gosse, Laurent 18 Gwiazda, Piotr 18 Mirrahimi, Sepideh 18 Xing, Yulong 17 Barles, Guy 17 Gess, Benjamin 17 Natalini, Roberto 17 Volpert, Vitaly A. 16 Castro, Manuel J. 16 Coquel, Frédéric 16 Desvillettes, Laurent 16 Filbet, Francis 16 Gabriel, Pierre 16 Huang, Feimin 16 Lions, Pierre-Louis 16 Mangeney, Anne 16 Masmoudi, Nader 16 Mieussens, Luc 16 Soler, Juan S. 16 Tao, Youshan 15 Dimarco, Giacomo 15 Hu, Jingwei 15 Nečasová, Šárka 15 Risebro, Nils Henrik 15 Saint-Raymond, Laure 15 Trofimchuk, Sergei I. 15 Velázquez, Juan J. L. 15 Zhan, Huashui 14 Andreianov, Boris 14 Bresch, Didier 14 Chertock, Alina E. 14 Escobedo Martínez, Miguel 14 Martínez Gamba, Irene 14 Ha, Seung-Yeal 14 Li, Gang 14 Li, Hailiang 14 Morales de Luna, Tomás 14 Popov, Boyan 14 Salort, Delphine 14 Schaeffer, Jack W. 14 Tadmor, Eitan 13 Audusse, Emmanuel 13 Dumbser, Michael 13 Jüngel, Ansgar 13 LeFloch, Philippe Gerard 13 Liu, Hailiang 13 Puppo, Gabriella 13 Raoul, Gaël 13 Sainte-Marie, Jacques 13 Schmeiser, Christian 13 Zhang, Xiangxiong 13 Zheng, Jiashan 12 Bouin, Emeric 12 Bourdarias, Christian 12 Brull, Stephane 12 Castro-Díaz, Manuel Jesús 12 Chen, Zili 12 Delitala, Marcello Edoardo 12 Godlewski, Edwige 12 Klingenberg, Christian 12 Lemou, Mohammed 12 Lorz, Alexander 12 Ruggeri, Tommaso ...and 3,926 more Authors all top 5 Cited in 353 Serials 262 Journal of Computational Physics 222 Journal of Differential Equations 151 M\(^3\)AS. 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Analysis and Computations 8 SMAI Journal of Computational Mathematics 7 Journal of Engineering Mathematics 7 Advances in Mathematics 7 The Annals of Probability 7 Calcolo ...and 253 more Serials all top 5 Cited in 48 Fields 2,944 Partial differential equations (35-XX) 1,420 Fluid mechanics (76-XX) 1,102 Biology and other natural sciences (92-XX) 918 Numerical analysis (65-XX) 727 Statistical mechanics, structure of matter (82-XX) 270 Probability theory and stochastic processes (60-XX) 217 Integral equations (45-XX) 204 Calculus of variations and optimal control; optimization (49-XX) 126 Ordinary differential equations (34-XX) 121 Operator theory (47-XX) 93 Geophysics (86-XX) 92 Dynamical systems and ergodic theory (37-XX) 76 Optics, electromagnetic theory (78-XX) 76 Systems theory; control (93-XX) 70 Astronomy and astrophysics (85-XX) 68 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 65 Mechanics of deformable solids (74-XX) 64 Classical thermodynamics, heat transfer (80-XX) 45 Operations research, mathematical programming (90-XX) 40 Quantum theory (81-XX) 38 Functional analysis (46-XX) 38 Relativity and gravitational theory (83-XX) 31 Mechanics of particles and systems (70-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 23 Global analysis, analysis on manifolds (58-XX) 22 Statistics (62-XX) 18 Real functions (26-XX) 18 Differential geometry (53-XX) 11 Computer science (68-XX) 10 General and overarching topics; collections (00-XX) 10 Measure and integration (28-XX) 8 Integral transforms, operational calculus (44-XX) 6 Approximations and expansions (41-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functions of a complex variable (30-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 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 2 Number theory (11-XX) 2 Manifolds and cell complexes (57-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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