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Author ID: perthame.benoit Recent zbMATH articles by "Perthame, Benoît"
Published as: Perthame, Benoît; Perthame, B.; Perthame, Benoit; Perthame, Ben{ôı}t; Perthame, Benoít
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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 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 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 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 Ribes, Edouard
2 Sainte-Marie, Jacques
2 Schmidtchen, Markus
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 Ambrosi, Davide
1 Aoki, Kazuo
...and 116 more Co-Authors
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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 Statistical Physics
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 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 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

Publications by Year

Citations contained in zbMATH Open

250 Publications have been cited 7,249 times in 4,122 Documents Cited by Year
A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308
Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît
307
2004
Transport equations in biology. Zbl 1185.92006
Perthame, Benoît
299
2007
Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system. Zbl 0741.35061
Lions, P. L.; Perthame, B.
217
1991
Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions. Zbl 1112.35023
Blanchet, Adrien; Dolbeault, Jean; Perthame, Benoit
194
2006
Regularity of the moments of the solution of a transport equation. Zbl 0652.47031
Golse, François; Lions, Pierre-Louis; Perthame, Benoît; Sentis, Rémi
192
1988
A kinetic formulation of multidimensional scalar conservation laws and related equations. Zbl 0820.35094
Lions, P. L.; Perthame, B.; Tadmor, E.
175
1994
Global solutions of some chemotaxis and angiogenesis system in high space dimension. Zbl 1115.35136
Corrias, L.; Perthame, Benoît; Zaag, H.
158
2004
Kinetic formulation of the isentropic gas dynamics and \(p\)-systems. Zbl 0799.35151
Lions, P. L.; Perthame, B.; Tadmor, E.
142
1994
Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates. Zbl 0853.76077
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
135
1996
Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation. Zbl 0997.76023
Gerbeau, J.-F.; Perthame, B.
125
2001
Kinetic formulation of conservation laws. Zbl 1030.35002
Perthame, Benoît
119
2002
A kinetic scheme for the Saint-Venant system with a source term. Zbl 1008.65066
Perthame, B.; Simeoni, C.
117
2001
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya
114
2009
Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005
Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian
112
2004
General relative entropy inequality: an illustration on growth models. Zbl 1085.35042
Michel, Philippe; Mischler, Stéphane; Perthame, Benoît
108
2005
Exit time problems in optimal control and vanishing viscosity method. Zbl 0674.49027
Barles, G.; Perthame, B.
95
1988
Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\). Zbl 1056.35076
Dolbeault, Jean; Perthame, Benoît
93
2004
Discontinuous solutions of deterministic optimal stopping time problems. Zbl 0629.49017
Barles, G.; Perthame, B.
90
1987
The dynamics of adaptation: An illuminating example and a Hamilton–Jacobi approach. Zbl 1072.92035
Diekmann, Odo; Jabin, Pierre-Emanuel; Mischler, Stéphane; Perthame, Benoît
87
2005
The Gaussian-BGK model of Boltzmann equation with small Prandtl number. Zbl 0967.76082
Andries, Pierre; Le Tallec, Patrick; Perlat, Jean-Philippe; Perthame, Benoît
83
2000
Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014
Filbet, Francis; Laurençot, Philippe; Perthame, Benoît
81
2005
Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1031.35077
Chen, Gui-Qiang; Perthame, Benoît
75
2003
Second-order Boltzmann schemes for compressible Euler equations in one and two space dimensions. Zbl 0744.76088
Perthame, B.
72
1992
On positivity preserving finite volume schemes for Euler equations. Zbl 0857.76062
Perthame, Benoit; Shu, Chi-Wang
72
1996
Global existence to the BGK model of Boltzmann equation. Zbl 0694.35134
Perthame, B.
70
1989
Relaxation of energy and approximate Riemann solvers for general pressure laws in fluid dynamics. Zbl 0960.76051
Coquel, Frédéric; Perthame, Benoît
66
1998
A consistent BGK-type model for gas mixtures. Zbl 1001.82093
Andries, Pierre; Aoki, Kazuo; Perthame, Benoit
66
2002
Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069
Bouchut, F.; Perthame, B.
63
1998
Boltzmann type schemes for gas dynamics and the entropy property. Zbl 0714.76078
Perthame, 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 0591.45007
Golse, François; Perthame, Benoît; Sentis, Rémi
59
1985
PDE models for chemotactic movements: parabolic, hyperbolic and kinetic. Zbl 1099.35157
Perthame, Benoît
58
2004
A kinetic equation with kinetic entropy functions for scalar conservation laws. Zbl 0729.76070
Perthame, Benoit; Tadmor, Eitan
57
1991
A Fourier spectral method for homogeneous Boltzmann equations. Zbl 0870.76074
Pareschi, Lorenzo; Perthame, Benoit
55
1996
The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347
Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis
55
2014
Exponential decay for the fragmentation or cell-division equation. Zbl 1072.35195
Perthame, Benoît; Ryzhik, Lenya
54
2005
Gelation in coagulation and fragmentation models. Zbl 1016.82027
Escobedo, M.; Mischler, S.; Perthame, B.
53
2002
Dirac concentrations in Lotka-Volterra parabolic PDEs. Zbl 1172.35005
Perthame, Benoit; Barles, Guy
52
2008
A chemotaxis model motivated by angiogenesis. Zbl 1028.35062
Corrias, L.; Perthame, B.; Zaag, H.
52
2003
The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation. Zbl 0655.35075
Bardos, C.; Golse, F.; Perthame, B.; Sentis, R.
52
1988
Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113
Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît
52
2011
Morrey-Campanato estimates for Helmholtz equations. Zbl 0932.35048
Perthame, Benoit; Vega, Luis
49
1999
Numerical passage from kinetic to fluid equations. Zbl 0718.76086
Coron, F.; Perthame, B.
49
1991
Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048
Bouchut, François; Golse, François; Pulvirenti, Mario
48
2000
Time decay, propagation of low moments and dispersive effects for kinetic equations. Zbl 0852.35139
Perthame, B.
47
1996
Gelation and mass conservation in coagulation-fragmentation models. Zbl 1133.82316
Escobedo, M.; Laurençot, Ph.; Mischler, S.; Perthame, B.
47
2003
Equilibrium schemes for scalar conservation laws with stiff sources. Zbl 1017.65070
Botchorishvili, Ramaz; Perthame, Benoit; Vasseur, Alexis
46
2003
On a boundary layer problem for the nonlinear Boltzmann equation. Zbl 0668.76089
Golse, Francois; Perthame, Benoit; Sulem, Catherine
46
1988
Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198
Cáceres, María J.; Carrillo, José A.; Perthame, Benoît
46
2011
A numerical method using upwind schemes for the resolution of two-phase flows. Zbl 0893.76052
Coquel, F.; El Amine, K.; Godlewski, E.; Perthame, B.; Rascle, P.
44
1997
Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure. Zbl 0919.35088
Perthame, B.
43
1998
Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration. Zbl 1253.35186
Bouin, Emeric; Calvez, Vincent; Meunier, Nicolas; Mirrahimi, Sepideh; Perthame, Benoît; Raoul, Gaël; Voituriez, Raphaël
43
2012
A limiting case for velocity averaging. Zbl 0956.45010
Perthame, B.; Souganidis, P. E.
42
1998
Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies. Zbl 1071.35079
Audusse, Emmanuel; Perthame, Benoît
42
2005
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025
Lorz, 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 1334.92204
Lorz, Alexander; Lorenzi, Tommaso; Clairambault, Jean; Escargueil, Alexandre; Perthame, Benoît
41
2015
Mathematical tools for kinetic equations. Zbl 1151.82351
Perthame, Benoît
40
2004
A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation. Zbl 1290.35194
Audusse, Emmanuel; Bristeau, Marie-Odile; Perthame, Benoît; Sainte-Marie, Jacques
39
2011
Weighted \(L^ \infty\) bounds and uniqueness for the Boltzmann BGK model. Zbl 0786.76072
Perthame, B.; Pulvirenti, M.
38
1993
Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027
Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît
37
2009
Microreversible collisions for polyatomic gases and Boltzmann’s theorem. Zbl 0807.76067
Bourgat, J.-F.; Desvillettes, L.; Le Tallec, P.; Perthame, B.
36
1994
Dynamics of a structured neuron population. Zbl 1267.35239
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine
36
2010
On spherical symmetry solutions of the Euler-Poisson equation for the evolution of gaseous stars. (Sur les solutions à symmétrie sphérique de l’équation d’Euler-Poisson pour l’évolution d’étoiles gazeuses.) Zbl 0743.35048
Makino, Tetu; Perthame, Benoît
35
1990
Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations. Zbl 0691.49028
Barles, G.; Perthame, B.
35
1990
A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows. Zbl 1044.35056
Bouchut, François; Mangeney-Castelnau, Anne; Perthame, Benoît; Vilotte, Jean-Pierre
34
2003
Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
33
2013
Relaxation and self-sustained oscillations in the time elapsed neuron network model. Zbl 1278.82046
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine
31
2013
Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases. Zbl 1101.76377
Andries, Pierre; Bourgat, Jean-François; le Tallec, Patrick; Perthame, Benoit
31
2002
Stability in a nonlinear population maturation model. Zbl 1020.92025
Mischler, Stéphane; Perthame, Benoît; Ryzhik, Lenya
31
2002
Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces. Zbl 1134.92006
Corrias, Lucilla; Perthame, Benoît
31
2008
Existence of solutions of the hyperbolic Keller-Segel model. Zbl 1180.35343
Perthame, Benoît; Dalibard, Anne-Laure
30
2009
Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038
Laurençot, Philippe; Perthame, Benoit
30
2009
General entropy equations for structured population models and scattering. Zbl 1049.35070
Michel, Philippe; Mischler, Stéphane; Perthame, Benoît
30
2004
Regularity and propagation of moments in some nonlinear Vlasov systems. Zbl 0984.35102
Gasser, I.; Jabin, P.-E.; Perthame, B.
29
2000
Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038
Nadin, Grégoire; Perthame, Benoît; Tang, Min
29
2011
Concentration in the nonlocal Fisher equation: the Hamilton-Jacobi limit. Zbl 1337.35077
Perthame, Benoît; Génieys, Stephane
29
2007
Non-existence of global solutions to Euler-Poisson equations for repulsive forces. Zbl 0717.35049
Perthame, Benoît
28
1990
A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091
Bouchut, F.; Bourdarias, Ch.; Perthame, B.
27
1996
Strichartz’ estimates for kinetic transport equations. (Estimations de Strichartz pour les équations de transport cinétique.) Zbl 0848.35095
Castella, François; Perthame, Benoît
26
1996
Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation. Zbl 1333.92009
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine
26
2014
Remarks on Hamilton-Jacobi equations with measurable time-dependent Hamiltonians. Zbl 0688.35052
Lions, P. L.; Perthame, B.
26
1987
Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459
Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya
26
2008
Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066
Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B.
26
2013
Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
26
2014
Coupling Boltzmann and Euler equations without overlapping. Zbl 0796.76063
Bourgat, J. F.; Le Tallec, P.; Perthame, B.; Qiu, Y.
25
1994
Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics. Zbl 1137.49027
Barles, Guy; Perthame, Benoît
25
2007
Some new Godunov and relaxation methods for two-phase flow problems. Zbl 1064.76545
Coquel, F.; Godlewski, E.; Perthame, B.; In, A.; Rascle, P.
24
2001
An age-and-cyclin-structured cell population model for healthy and tumoral tissues. Zbl 1148.92014
Brikci, Fadia Bekkal; Clairambault, Jean; Ribba, Benjamin; Perthame, Benoît
24
2008
Parabolic equations in biology. Growth, reaction, movement and diffusion. Zbl 1333.35001
Perthame, Benoît
23
2015
On the inverse problem for a size-structured population model. Zbl 1118.35072
Perthame, Benoît; Zubelli, Jorge P.
22
2007
Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039
Calvez, V.; Lenuzza, N.; Doumic, M.; Deslys, J.-P.; Mouthon, F.; Perthame, B.
22
2010
A Hele-Shaw problem for tumor growth. Zbl 1377.35245
Mellet, Antoine; Perthame, Benoît; Quirós, Fernando
22
2017
Boltzmann equation with infinite energy: Renormalized solutions and distributional solutions for small initial data and initial data close to a Maxwellian. Zbl 0889.35077
Mischler, S.; Perthame, B.
21
1997
Travelling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities. Zbl 1223.35102
Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas
21
2011
Size distribution dependence of prion aggregates infectivity. Zbl 1161.92033
Calvez, Vincent; Lenuzza, Natacha; Oelz, Dietmar; Deslys, Jean-Philippe; Laurent, Pascal; Mouthon, Franck; Perthame, Benoît
21
2009
The Rosseland approximation for the radiative transfer equations. Zbl 0654.65095
Bardos, C.; Golse, F.; Perthame, B.
21
1987
Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120
Haskovec, Jan; Markowich, Peter; Perthame, Benoit
21
2015
Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience. Zbl 1336.35332
Carrillo, José Antonio; Perthame, Benoît; Salort, Delphine; Smets, Didier
21
2015
Generalized solutions of the radiative transfer equations in a singular case. Zbl 0614.35084
Golse, F.; Perthame, B.
21
1986
A structured population model of cell differentiation. Zbl 1235.35030
Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P.
21
2011
On the modified Enskog equation for elastic and inelastic collisions. Models with spin. Zbl 0850.70141
Esteban, Maria J.; Perthame, Benoît
20
1991
Incompressible limit for a two-species model with coupling through Brinkman’s law in any dimension. Zbl 1458.35421
Dębiec, Tomasz; Perthame, Benoît; Schmidtchen, Markus; Vauchelet, Nicolas
2
2021
Existence of a global weak solution for a reaction-diffusion problem with membrane conditions. Zbl 1470.35179
Ciavolella, Giorgia; Perthame, Benoît
2
2021
Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189
Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M.
2
2021
Free boundary limit of a tumor growth model with nutrient. Zbl 1478.35210
David, Noemi; Perthame, Benoît
2
2021
Sharp long-time asymptotics for chemotaxis with free boundary. Zbl 1467.35053
Li, Hai-Liang; Perthame, Benoít; Wen, Xinmei
1
2021
Fokker-Plank system for movement of micro-organism population in confined environment. Zbl 1472.35388
Fu, Jingyi; Perthame, Benoit; Tang, Min
1
2021
Hele-Shaw limit for a system of two reaction-(Cross-)diffusion equations for living tissues. Zbl 1435.35390
Bubba, Federica; Perthame, Benoît; Pouchol, Camille; Schmidtchen, Markus
11
2020
The flux limited Keller-Segel system; properties and derivation from kinetic equations. Zbl 1441.35056
Perthame, Benoît; Vauchelet, Nicolas; Wang, Zhian
5
2020
Multiple asymptotics of kinetic equations with internal states. Zbl 1450.35034
Perthame, Benoit; Sun, Weiran; Tang, Min; Yasuda, Shugo
3
2020
Reaction-diffusion systems with initial data of low regularity. Zbl 1448.35291
Laamri, El-Haj; Perthame, Benoît
2
2020
Transport distances for PDEs: the coupling method. Zbl 1459.35037
Fournier, Nicolas; Perthame, Benoît
1
2020
Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations. Zbl 1423.35177
Almeida, Luis; Bubba, Federica; Perthame, Benoît; Pouchol, Camille
13
2019
A two-species hyperbolic-parabolic model of tissue growth. Zbl 1425.35198
Gwiazda, Piotr; Perthame, Benoît; Świerczewska-Gwiazda, Agnieszka
9
2019
Backward parabolicity, cross-diffusion and Turing instability. Zbl 1411.35165
Moussa, Ayman; Perthame, Benoît; Salort, Delphine
5
2019
Implicit and semi-implicit numerical schemes for the gradient flow of the formation of biological transport networks. Zbl 1437.65095
Fang, Di; Jin, Shi; Markowich, Peter; Perthame, Benoît
3
2019
Derivation of a voltage density equation from a voltage-conductance kinetic model for networks of integrate-and-fire neurons. Zbl 1433.35429
Perthame, Benoît; Salort, Delphine
3
2019
Oscillatory regimes in a mosquito population model with larval feedback on egg hatching. Zbl 1448.92251
Strugarek, Martin; Dufour, Laetitia; Vauchelet, Nicolas; Almeida, Luis; Perthame, Benoît; Villela, Daniel A. M.
1
2019
Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller-Segel equation. Zbl 1397.92101
Perthame, Benoît; Yasuda, Shugo
11
2018
Traveling wave and aggregation in a flux-limited Keller-Segel model. Zbl 1405.92030
Calvez, Vincent; Perthame, Benoît; Yasuda, Shugo
8
2018
The fractional diffusion limit of a kinetic model with biochemical pathway. Zbl 1395.35015
Perthame, Benoît; Sun, Weiran; Tang, Min
6
2018
Dynamics of concentration in a population model structured by age and a phenotypical trait. Zbl 1398.35251
Nordmann, Samuel; Perthame, Benoît; Taing, Cécile
6
2018
Long-time asymptotics for polymerization models. Zbl 1400.82316
Calvo, Juan; Doumic, Marie; Perthame, Benoît
3
2018
Super-linear propagation for a general, local cane toads model. Zbl 1407.35112
Henderson, Christopher; Perthame, Benoît; Souganidis, Panagiotis E.
2
2018
Analysis of a system describing proliferative-quiescent cell dynamics. Zbl 1390.37143
Clairambault, Jean; Perthame, Benoît; Maran, Andrada Quillas
1
2018
A Hele-Shaw problem for tumor growth. Zbl 1377.35245
Mellet, Antoine; Perthame, Benoît; Quirós, Fernando
22
2017
On interfaces between cell populations with different mobilities. Zbl 1359.35204
Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît
14
2017
Distributed synaptic weights in a LIF neural network and learning rules. Zbl 1378.92006
Perthame, Benoît; Salort, Delphine; Wainrib, Gilles
2
2017
Toward an integrated workforce planning framework using structured equations. Zbl 1403.90462
Doumic, Marie; Perthame, Benoît; Ribes, Edouard; Salort, Delphine; Toubiana, Nathan
1
2017
Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway. Zbl 1358.35207
Perthame, Benoît; Tang, Min; Vauchelet, Nicolas
18
2016
Notes on a PDE system for biological network formation. Zbl 1334.35101
Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias
18
2016
Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027
Perthame, Benoit; Souganidis, P. E.
13
2016
Uncertainty propagation; intrusive kinetic formulations of scalar conservation laws. Zbl 1362.35342
Despres, Bruno; Perthame, Benoit
13
2016
Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes. Zbl 1345.60069
Gess, Benjamin; Perthame, Benoît; Souganidis, Panagiotis E.
7
2016
Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360
Kim, 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 1334.92204
Lorz, Alexander; Lorenzi, Tommaso; Clairambault, Jean; Escargueil, Alexandre; Perthame, Benoît
41
2015
Parabolic equations in biology. Growth, reaction, movement and diffusion. Zbl 1333.35001
Perthame, Benoît
23
2015
Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120
Haskovec, Jan; Markowich, Peter; Perthame, Benoit
21
2015
Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience. Zbl 1336.35332
Carrillo, José Antonio; Perthame, Benoît; Salort, Delphine; Smets, Didier
21
2015
Asymptotic analysis of a selection model with space. Zbl 1327.35011
Mirrahimi, Sepideh; Perthame, Benoît
20
2015
Incompressible limit of a mechanical model of tumour growth with viscosity. Zbl 1353.35294
Perthame, Benoît; Vauchelet, Nicolas
16
2015
Time fluctuations in a population model of adaptive dynamics. Zbl 1312.35011
Mirrahimi, Sepideh; Perthame, Benoît; Souganidis, Panagiotis E.
9
2015
A simple derivation of BV bounds for inhomogeneous relaxation systems. Zbl 1316.35183
Perthame, Benoît; Seguin, Nicolas; Tournus, Magali
4
2015
Data assimilation for hyperbolic conservation laws: a Luenberger observer approach based on a kinetic description. Zbl 1329.35195
Boulanger, Anne-Celine; Moireau, Philippe; Perthame, Benoît; Sainte-Marie, Jacques
3
2015
Dynamics of time elapsed inhomogeneous neuron network model. (Dynamique de réseaux de neurones inhomogènes structurés en âge.) Zbl 1337.92014
Kang, Moon-Jin; Perthame, Benoît; Salort, Delphine
3
2015
Transversal instability for the thermodiffusive reaction-diffusion system. Zbl 1328.35097
Kowalczyk, Michal; Perthame, Benoît; Vauchelet, Nicolas
1
2015
Competition and boundary formation in heterogeneous media: application to neuronal differentiation. Zbl 1325.35237
Perthame, Benoît; Quiñinao, Cristóbal; Touboul, Jonathan
1
2015
The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347
Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis
55
2014
Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation. Zbl 1333.92009
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine
26
2014
Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
26
2014
Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient. Zbl 1366.92065
Perthame, Benoît; Tang, Min; Vauchelet, Nicolas
17
2014
Derivation of a Hele-Shaw type system from a cell model with active motion. Zbl 1325.35092
Perthame, Benoît; Quirós, Fernando; Tang, Min; Vauchelet, Nicholas
16
2014
Beyond blow-up in excitatory integrate and fire neuronal networks: refractory period and spontaneous activity. Zbl 1412.92001
Cáceres, María J.; Perthame, Benoît
12
2014
Direct competition results from strong competition for limited resource. Zbl 1293.35346
Mirrahimi, Sepideh; Perthame, Benoît; Wakano, Joe Yuichiro
9
2014
Some mathematical aspects of tumor growth and therapy. Zbl 1373.35322
Perthame, Benoît
8
2014
Long-term behaviour of phenotypically structured models. Zbl 1371.92087
Lorz, Alexander; Perthame, Benoît
3
2014
Composite waves for a cell population system modeling tumor growth and invasion. Zbl 1321.35249
Tang, Min; Vauchelet, Nicolas; Cheddadi, Ibrahim; Vignon-Clementel, Irene; Drasdo, Dirk; Perthame, Benoît
1
2014
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025
Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît
42
2013
Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
33
2013
Relaxation and self-sustained oscillations in the time elapsed neuron network model. Zbl 1278.82046
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine
31
2013
Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066
Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B.
26
2013
Optimal regularizing effect for scalar conservation laws. Zbl 1288.35343
Golse, François; Perthame, Benoît
14
2013
Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
14
2013
On a voltage-conductance kinetic system for integrate & fire neural networks. Zbl 1284.35103
Perthame, Benoît; Salort, Delphine
10
2013
Composite waves for a cell population system modeling tumor growth and invasion. Zbl 1346.92017
Tang, Min; Vauchelet, Nicolas; Cheddadi, Ibrahim; Vignon-Clementel, Irene; Drasdo, Dirk; Perthame, Benoît
9
2013
Nonlinear stability of a Vlasov equation for magnetic plasmas. Zbl 1262.35197
Charles, Frédérique; Després, Bruno; Perthame, Benoît; Sentis, Rémis
3
2013
Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration. Zbl 1253.35186
Bouin, Emeric; Calvez, Vincent; Meunier, Nicolas; Mirrahimi, Sepideh; Perthame, Benoît; Raoul, Gaël; Voituriez, Raphaël
43
2012
Evolution of species trait through resource competition. Zbl 1279.92060
Mirrahimi, Sepideh; Perthame, Benoît; Wakano, Joe Yuichiro
17
2012
Regularization in Keller-Segel type systems and the De Giorgi method. Zbl 1288.35146
Perthame, Benoît; Vasseur, Alexis
5
2012
Analysis of a simplified model of the urine concentration mechanism. Zbl 1262.35204
Tournus, Magali; Edwards, Aurélie; Seguin, Nicolas; Perthame, Benoît
4
2012
A singular Hamilton-Jacobi equation modeling the tail problem. Zbl 1280.35007
Mirrahimi, Sepideh; Barles, Guy; Perthame, Benoît; Souganidis, Panagiotis E.
3
2012
Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113
Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît
52
2011
Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198
Cáceres, María J.; Carrillo, José A.; Perthame, Benoît
46
2011
A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation. Zbl 1290.35194
Audusse, Emmanuel; Bristeau, Marie-Odile; Perthame, Benoît; Sainte-Marie, Jacques
39
2011
Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038
Nadin, Grégoire; Perthame, Benoît; Tang, Min
29
2011
Travelling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities. Zbl 1223.35102
Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas
21
2011
A structured population model of cell differentiation. Zbl 1235.35030
Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P.
21
2011
Population formulation of adaptative meso-evolution: theory and numerics. Zbl 1379.92052
Mirrahimi, Sepideh; Perthame, Benoît; Bouin, Emeric; Millien, Pierre
9
2011
Waves for a hyperbolic Keller–Segel model and branching instabilities. Zbl 1221.35088
Cerreti, Fiammetta; Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas
9
2011
A homogenization approach to flashing ratchets. Zbl 1209.35013
Perthame, Benoît; Souganidis, Panagiotis E.
4
2011
Dynamics of a structured neuron population. Zbl 1267.35239
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine
36
2010
Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039
Calvez, 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 1184.35158
Marrocco, 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 1196.92031
Perthame, Benoît; Gauduchon, Mathias
3
2010
Stability analysis of a simplified yet complete model for chronic myelogenous leukemia. Zbl 1203.92036
Doumic-Jauffret, Marie; Kim, Peter S.; Perthame, Benoît
3
2010
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya
114
2009
Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027
Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît
37
2009
Existence of solutions of the hyperbolic Keller-Segel model. Zbl 1180.35343
Perthame, Benoît; Dalibard, Anne-Laure
30
2009
Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038
Laurençot, Philippe; Perthame, Benoit
30
2009
Size distribution dependence of prion aggregates infectivity. Zbl 1161.92033
Calvez, 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 1179.35156
Bendahmane, Mostafa; Lepoutre, Thomas; Marrocco, Americo; Perthame, Benoît
19
2009
Numerical solution of an inverse problem in size-structured population dynamics. Zbl 1161.92020
Doumic, Marie; Perthame, Benoît; Zubelli, Jorge P.
16
2009
Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations. Zbl 1176.35031
Chen, Gui-Qiang; Perthame, Benoît
13
2009
Asymmetric potentials and motor effect: a homogenization approach. Zbl 1180.35081
Perthame, Benoît; Souganidis, Panagiotis E.
11
2009
An integro-differential equation model for alignment and orientational aggregation. Zbl 1157.47054
Kang, Kyungkeun; Perthame, Benoit; Stevens, Angela; Velázquez, J. J. L.
11
2009
Asymmetric potentials and motor effect: a large deviation approach. Zbl 1171.82012
Perthame, Benoît; Souganidis, Panagiotis E.
6
2009
Why hyperbolic and kinetic models for cell populations self-organization? Zbl 1197.35297
Perthame, Benoît
1
2009
Dirac concentrations in Lotka-Volterra parabolic PDEs. Zbl 1172.35005
Perthame, Benoit; Barles, Guy
52
2008
Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces. Zbl 1134.92006
Corrias, Lucilla; Perthame, Benoît
31
2008
Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459
Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya
26
2008
An age-and-cyclin-structured cell population model for healthy and tumoral tissues. Zbl 1148.92014
Brikci, Fadia Bekkal; Clairambault, Jean; Ribba, Benjamin; Perthame, Benoît
24
2008
...and 150 more Documents
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Cited by 3,994 Authors

135 Perthame, Benoît
59 Carrillo de la Plata, José Antonio
35 Jabin, Pierre-Emmanuel
33 Bouchut, François
33 Zhang, Xianwen
32 Winkler, Michael
31 Shu, Chi-Wang
29 Calvez, Vincent
29 Fernández-Nieto, Enrique Domingo
29 Liu, Jianguo
28 Vauchelet, Nicolas
27 Bellomo, Nicola
27 Berthon, Christophe
27 Kurganov, Alexander
26 Chen, Gui-Qiang G.
26 Jin, Shi
26 Laurençot, Philippe
25 Lorenzi, Tommaso
24 Degond, Pierre
24 Pareschi, Lorenzo
24 Yun, Seok-Bae
23 Goudon, Thierry
23 Karlsen, Kenneth Hvistendahl
22 Mischler, Stéphane
22 Souganidis, Panagiotis E.
21 Lu, Yunguang
21 Parés Madroñal, Carlos
21 Yang, Tong
20 Rein, Gerhard
19 Golse, François
19 Hérard, Jean-Marc
19 Mai Duc Thanh
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
17 Barles, Guy
17 Gess, Benjamin
17 Natalini, Roberto
17 Volpert, Vitaly A.
17 Xing, Yulong
16 Castro, Manuel J.
16 Coquel, Frédéric
16 Desvillettes, Laurent
16 Filbet, Francis
16 Gabriel, Pierre
16 Lions, Pierre-Louis
16 Mieussens, Luc
16 Soler, Juan S.
15 Dimarco, Giacomo
15 Huang, Feimin
15 Mangeney, Anne
15 Masmoudi, Nader
15 Nečasová, Šárka
15 Risebro, Nils Henrik
15 Saint-Raymond, Laure
15 Tao, Youshan
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 Klingenberg, Christian
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 Hu, Jingwei
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
12 Bellouquid, Abdelghani
12 Bouin, Emeric
12 Brull, Stephane
12 Castro-Díaz, Manuel Jesús
12 Chen, Zili
12 Delitala, Marcello Edoardo
12 Godlewski, Edwige
12 Lemou, Mohammed
12 Lorz, Alexander
12 Tang, Min
12 Xu, Kun
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Cited in 351 Serials

253 Journal of Computational Physics
222 Journal of Differential Equations
148 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
117 Journal of Mathematical Analysis and Applications
110 Archive for Rational Mechanics and Analysis
105 Communications in Partial Differential Equations
84 Journal of Mathematical Biology
83 SIAM Journal on Mathematical Analysis
81 Computers and Fluids
81 Journal of Scientific Computing
76 Kinetic and Related Models
69 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
64 Journal of Statistical Physics
63 Communications in Mathematical Physics
62 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
61 Journal de Mathématiques Pures et Appliquées. Neuvième Série
61 Comptes Rendus. Mathématique. Académie des Sciences, Paris
51 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
50 Journal of Functional Analysis
50 Discrete and Continuous Dynamical Systems
48 Mathematics of Computation
48 Nonlinear Analysis. Real World Applications
46 Acta Applicandae Mathematicae
45 Discrete and Continuous Dynamical Systems. Series B
44 Applied Mathematics Letters
41 Journal of Mathematical Physics
41 Journal of Hyperbolic Differential Equations
38 Mathematical Methods in the Applied Sciences
36 Computers & Mathematics with Applications
36 Mathematical and Computer Modelling
36 SIAM Journal on Scientific Computing
34 ZAMP. Zeitschrift für angewandte Mathematik und Physik
34 Numerische Mathematik
32 SIAM Journal on Numerical Analysis
31 Transactions of the American Mathematical Society
30 Transport Theory and Statistical Physics
30 Applied Mathematics and Computation
30 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
29 Nonlinearity
29 European Journal of Mechanics. B. Fluids
28 Bulletin of Mathematical Biology
27 Physica D
26 SIAM Journal on Applied Mathematics
26 Journal of Theoretical Biology
25 Journal of Fluid Mechanics
24 Journal of Computational and Applied Mathematics
24 NoDEA. Nonlinear Differential Equations and Applications
24 Networks and Heterogeneous Media
23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
23 Journal of Evolution Equations
22 Quarterly of Applied Mathematics
21 Computer Methods in Applied Mechanics and Engineering
21 Communications on Pure and Applied Mathematics
21 Calculus of Variations and Partial Differential Equations
21 Mathematical Biosciences and Engineering
21 Communications in Computational Physics
20 Applied Mathematics and Optimization
18 Mathematical Modelling of Natural Phenomena
18 Séminaire Laurent Schwartz. EDP et Applications
17 International Journal for Numerical Methods in Fluids
17 Mathematical Biosciences
17 Chinese Annals of Mathematics. Series B
17 Multiscale Modeling & Simulation
16 Applied Mathematical Modelling
16 Journal of Nonlinear Science
15 Applied Numerical Mathematics
15 Physics of Fluids
13 Stochastic Processes and their Applications
13 Journal of Biological Dynamics
13 Nonlinear Analysis. Theory, Methods & Applications
12 Applicable Analysis
12 Proceedings of the American Mathematical Society
12 The Annals of Applied Probability
12 Communications on Pure and Applied Analysis
12 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
11 Journal of Dynamics and Differential Equations
11 Journal of Mathematical Fluid Mechanics
10 European Journal of Applied Mathematics
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 Boundary Value Problems
9 Japan Journal of Industrial and Applied Mathematics
9 Continuum Mechanics and Thermodynamics
9 Advances in Computational Mathematics
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Mathematische Annalen
8 SIAM Journal on Control and Optimization
8 Bulletin of the American Mathematical Society. New Series
8 Bulletin of the Brazilian Mathematical Society. New Series
8 Analysis and Applications (Singapore)
8 Advances in Applied Mathematics and Mechanics
8 Science China. Mathematics
8 Stochastic and Partial Differential Equations. Analysis and Computations
8 Annals of PDE
8 SMAI Journal of Computational Mathematics
7 Journal of Engineering Mathematics
7 Advances in Mathematics
7 The Annals of Probability
7 Calcolo
7 Monatshefte für Mathematik
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Cited in 48 Fields

2,908 Partial differential equations (35-XX)
1,395 Fluid mechanics (76-XX)
1,093 Biology and other natural sciences (92-XX)
895 Numerical analysis (65-XX)
712 Statistical mechanics, structure of matter (82-XX)
269 Probability theory and stochastic processes (60-XX)
215 Integral equations (45-XX)
202 Calculus of variations and optimal control; optimization (49-XX)
126 Ordinary differential equations (34-XX)
119 Operator theory (47-XX)
92 Geophysics (86-XX)
90 Dynamical systems and ergodic theory (37-XX)
76 Systems theory; control (93-XX)
73 Optics, electromagnetic theory (78-XX)
70 Astronomy and astrophysics (85-XX)
67 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
65 Mechanics of deformable solids (74-XX)
62 Classical thermodynamics, heat transfer (80-XX)
44 Operations research, mathematical programming (90-XX)
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3 History and biography (01-XX)
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2 Number theory (11-XX)
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1 Potential theory (31-XX)
1 Abstract harmonic analysis (43-XX)
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