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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
External Links: MGP · Wikidata · GND · IdRef · theses.fr
all top 5

Co-Authors

34 single-authored
20 Souganidis, Panagiotis E.
18 Salort, Delphine
14 Lions, Pierre-Louis
13 Golse, François
12 Tang, Min
12 Vauchelet, Nicolas
10 Jabin, Pierre-Emmanuel
10 Markowich, Peter Alexander
9 Calvez, Vincent
9 Clairambault, Jean
9 Mirrahimi, Sepideh
8 Bouchut, François
8 Lorz, Alexander
7 Barles, Guy
7 Doumic, Marie
7 Mischler, Stéphane
7 Ryzhik, Lenya
6 Bardos, Claude Williams
5 Elbar, Charles
5 Le Tallec, Patrick
5 Nadin, Grégoire
5 Skrzeczkowski, Jakub
5 Tadmor, Eitan
5 Zubelli, Jorge P.
4 Bristeau, Marie-Odile
4 Carrillo de la Plata, José Antonio
4 Castella, François
4 Coquel, Frédéric
4 Corrias, Lucilla
4 Lorenzi, Tommaso
4 Sentis, Remi
4 Stevens, Angela
4 Vega, Luis
3 Andries, Pierre
3 Audusse, Emmanuel
3 Bourgat, Jean-François
3 Bournaveas, Nikolaos
3 Bubba, Federica
3 Cáceres, María-José
3 Chen, Gui-Qiang G.
3 Deslys, Jean-Philippe
3 Godlewski, Edwige
3 Katsaounis, Theodoros
3 Laurençot, Philippe
3 Lenuzza, Natacha
3 Li, Hailiang
3 Michel, Philippe
3 Mouthon, Franck
3 Pakdaman, Khashayar
3 Pulvirenti, Mario
3 Qiu, Youchun
3 Quirós Gracián, Fernando
3 Rascle, Paul
3 Ribes, Edouard
3 Schmeiser, Christian
3 Schmidtchen, Markus
3 Simeoni, Chiara
3 Taing, Cécile
3 Yasuda, Shugo
2 Bardi, Martino
2 Bekkal-Brikci, Fadia
2 Benamou, Jean-David
2 Berestycki, Henri
2 Bouin, Emeric
2 Bourdarias, Christian
2 Cheddadi, Ibrahim
2 Ciarletta, Pasquale
2 Ciavolella, Giorgia
2 David, Noemi
2 Dębiec, Tomasz
2 Després, Bruno
2 Desvillettes, Laurent
2 DiBenedetto, Emmanuele
2 Dolbeault, Jean
2 Dou, Xu’an
2 Drasdo, Dirk
2 El Amine, Khalid
2 Escobedo Martínez, Miguel
2 Esteban, Maria J.
2 Fournier, Nicolas
2 Fu, Jingyi
2 Gasser, Ingenuin
2 Gerbeau, Jean-Frédéric
2 Gwiazda, Piotr
2 Haskovec, Jan
2 He, Qingyou
2 Herrero, Henar
2 James, François
2 Kang, Kyungkeun
2 Laurent, Pascal
2 Lucquin-Desreux, Brigitte
2 Makridakis, Charalambos G.
2 Marciniak-Czochra, Anna K.
2 Marrocco, Americo
2 Mellet, Antoine
2 Moussa, Ayman
2 Nordmann, Samuel
2 Pouchol, Camille
2 Poulain, Alexandre
2 Ruan, Xinran
...and 153 more Co-Authors
all top 5

Serials

12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Comptes Rendus de l’Académie des Sciences. Série I
10 Archive for Rational Mechanics and Analysis
9 Journal of Differential Equations
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Communications in Partial Differential Equations
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Communications in Mathematical Physics
7 Journal of Mathematical Biology
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 SIAM Journal on Mathematical Analysis
7 Communications in Mathematical Sciences
6 Nonlinearity
6 SIAM Journal on Numerical Analysis
5 Communications on Pure and Applied Mathematics
5 Asymptotic Analysis
4 Journal of Functional Analysis
4 Chinese Annals of Mathematics. Series B
4 Mathematical and Computer Modelling
4 Mathematical Modelling of Natural Phenomena
4 Kinetic and Related Models
3 Journal of Computational Physics
3 Journal of Statistical Physics
3 Mathematics of Computation
3 Bulletin of Mathematical Biology
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Transactions of the American Mathematical Society
3 Revista Matemática Iberoamericana
3 SIAM Journal on Applied Mathematics
3 Interfaces and Free Boundaries
3 Oberwolfach Reports
2 Computers & Mathematics with Applications
2 Inverse Problems
2 Mathematical Biosciences
2 Mathematical Methods in the Applied Sciences
2 Transport Theory and Statistical Physics
2 Numerische Mathematik
2 Acta Applicandae Mathematicae
2 Physica D
2 Japan Journal of Applied Mathematics
2 European Journal of Applied Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Nonlinear Science
2 Séminaire Équations aux Dérivées Partielles
2 Methods and Applications of Analysis
2 Discrete and Continuous Dynamical Systems
2 Bulletin of the Brazilian Mathematical Society. New Series
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Series in Applied Mathematics (Paris)
2 Journal of Biological Dynamics
2 Networks and Heterogeneous Media
2 The Journal of Mathematical Neuroscience
2 Stochastic and Partial Differential Equations. Analysis and Computations
2 Nonlinear Analysis. Theory, Methods & Applications
1 Applicable Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Mathematical Analysis and Applications
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Optimization
1 BIT
1 Calcolo
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Control and Optimization
1 Theoretical Population Biology
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 European Journal of Mechanics. B. Fluids
1 Applications of Mathematics
1 Geometric and Functional Analysis. GAFA
1 European Journal of Operational Research
1 Bulletin of the American Mathematical Society. New Series
1 Notices of the American Mathematical Society
1 Advances in Mathematical Sciences and Applications
1 SIAM Journal on Scientific Computing
1 Electronic Journal of Differential Equations (EJDE)
1 Journal of the Egyptian Mathematical Society
1 NoDEA. Nonlinear Differential Equations and Applications
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Markov Processes and Related Fields
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 European Journal of Mechanics. B. Fluids
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Journal of Evolution Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Milan Journal of Mathematics
1 Mathematical Medicine and Biology
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Mathematical Biosciences and Engineering
1 Lecture Notes in Mathematics
1 Oxford Lecture Series in Mathematics and its Applications
1 Series on Advances in Mathematics for Applied Sciences
1 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore
1 Discrete and Continuous Dynamical Systems. Series S
...and 11 more Serials

Publications by Year

Citations contained in zbMATH Open

270 Publications have been cited 8,907 times in 5,039 Documents Cited by Year
Transport equations in biology. Zbl 1185.92006
Perthame, Benoît
414
2007
A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308
Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît
381
2004
Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system. Zbl 0741.35061
Lions, P. L.; Perthame, B.
265
1991
Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions. Zbl 1112.35023
Blanchet, Adrien; Dolbeault, Jean; Perthame, Benoit
255
2006
A kinetic formulation of multidimensional scalar conservation laws and related equations. Zbl 0820.35094
Lions, P. L.; Perthame, B.; Tadmor, E.
223
1994
Regularity of the moments of the solution of a transport equation. Zbl 0652.47031
Golse, François; Lions, Pierre-Louis; Perthame, Benoît; Sentis, Rémi
219
1988
Global solutions of some chemotaxis and angiogenesis system in high space dimension. Zbl 1115.35136
Corrias, L.; Perthame, Benoît; Zaag, H.
186
2004
Kinetic formulation of the isentropic gas dynamics and \(p\)-systems. Zbl 0799.35151
Lions, P. L.; Perthame, B.; Tadmor, E.
173
1994
Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates. Zbl 0853.76077
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
163
1996
Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation. Zbl 0997.76023
Gerbeau, J.-F.; Perthame, B.
147
2001
Kinetic formulation of conservation laws. Zbl 1030.35002
Perthame, Benoît
143
2002
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya
137
2009
A kinetic scheme for the Saint-Venant system with a source term. Zbl 1008.65066
Perthame, B.; Simeoni, C.
136
2001
Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005
Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian
134
2004
General relative entropy inequality: an illustration on growth models. Zbl 1085.35042
Michel, Philippe; Mischler, Stéphane; Perthame, Benoît
124
2005
Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\). Zbl 1056.35076
Dolbeault, Jean; Perthame, Benoît
119
2004
The dynamics of adaptation: An illuminating example and a Hamilton–Jacobi approach. Zbl 1072.92035
Diekmann, Odo; Jabin, Pierre-Emanuel; Mischler, Stéphane; Perthame, Benoît
113
2005
Discontinuous solutions of deterministic optimal stopping time problems. Zbl 0629.49017
Barles, G.; Perthame, B.
104
1987
Exit time problems in optimal control and vanishing viscosity method. Zbl 0674.49027
Barles, G.; Perthame, B.
101
1988
Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1031.35077
Chen, Gui-Qiang; Perthame, Benoît
100
2003
The Gaussian-BGK model of Boltzmann equation with small Prandtl number. Zbl 0967.76082
Andries, Pierre; Le Tallec, Patrick; Perlat, Jean-Philippe; Perthame, Benoît
99
2000
On positivity preserving finite volume schemes for Euler equations. Zbl 0857.76062
Perthame, Benoit; Shu, Chi-Wang
99
1996
Derivation of hyperbolic models for chemosensitive movement. Zbl 1080.92014
Filbet, Francis; Laurençot, Philippe; Perthame, Benoît
90
2005
Global existence to the BGK model of Boltzmann equation. Zbl 0694.35134
Perthame, B.
83
1989
The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347
Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis
82
2014
A consistent BGK-type model for gas mixtures. Zbl 1001.82093
Andries, Pierre; Aoki, Kazuo; Perthame, Benoit
81
2002
Second-order Boltzmann schemes for compressible Euler equations in one and two space dimensions. Zbl 0744.76088
Perthame, B.
78
1992
Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113
Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît
74
2011
Relaxation of energy and approximate Riemann solvers for general pressure laws in fluid dynamics. Zbl 0960.76051
Coquel, Frédéric; Perthame, Benoît
74
1998
Dirac concentrations in Lotka-Volterra parabolic PDEs. Zbl 1172.35005
Perthame, Benoit; Barles, Guy
71
2008
Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069
Bouchut, F.; Perthame, B.
70
1998
A Fourier spectral method for homogeneous Boltzmann equations. Zbl 0870.76074
Pareschi, Lorenzo; Perthame, Benoit
67
1996
The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation. Zbl 0655.35075
Bardos, C.; Golse, F.; Perthame, B.; Sentis, R.
65
1988
Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048
Bouchut, François; Golse, François; Pulvirenti, Mario
65
2000
Un résultat de compacité pour les équations de transport et application au calcul de la limite de la valeur propre principale d’un opérateur de transport. (A compactness result for transport equations and application to the calculus of the limit of the principal eigenvalue of a transport operator). Zbl 0591.45007
Golse, François; Perthame, Benoît; Sentis, Rémi
65
1985
Exponential decay for the fragmentation or cell-division equation. Zbl 1072.35195
Perthame, Benoît; Ryzhik, Lenya
65
2005
Boltzmann type schemes for gas dynamics and the entropy property. Zbl 0714.76078
Perthame, B.
65
1990
A kinetic equation with kinetic entropy functions for scalar conservation laws. Zbl 0729.76070
Perthame, Benoit; Tadmor, Eitan
63
1991
PDE models for chemotactic movements: parabolic, hyperbolic and kinetic. Zbl 1099.35157
Perthame, Benoît
62
2004
A chemotaxis model motivated by angiogenesis. Zbl 1028.35062
Corrias, L.; Perthame, B.; Zaag, H.
61
2003
Parabolic equations in biology. Growth, reaction, movement and diffusion. Zbl 1333.35001
Perthame, Benoît
61
2015
Gelation in coagulation and fragmentation models. Zbl 1016.82027
Escobedo, M.; Mischler, S.; Perthame, B.
59
2002
Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198
Cáceres, María J.; Carrillo, José A.; Perthame, Benoît
59
2011
Time decay, propagation of low moments and dispersive effects for kinetic equations. Zbl 0852.35139
Perthame, B.
57
1996
Morrey-Campanato estimates for Helmholtz equations. Zbl 0932.35048
Perthame, Benoit; Vega, Luis
56
1999
Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result. Zbl 1204.35027
Barles, Guy; Mirrahimi, Sepideh; Perthame, Benoît
56
2009
Numerical passage from kinetic to fluid equations. Zbl 0718.76086
Coron, F.; Perthame, B.
54
1991
Equilibrium schemes for scalar conservation laws with stiff sources. Zbl 1017.65070
Botchorishvili, Ramaz; Perthame, Benoit; Vasseur, Alexis
53
2003
On a boundary layer problem for the nonlinear Boltzmann equation. Zbl 0668.76089
Golse, Francois; Perthame, Benoit; Sulem, Catherine
52
1988
Gelation and mass conservation in coagulation-fragmentation models. Zbl 1133.82316
Escobedo, M.; Laurençot, Ph.; Mischler, S.; Perthame, B.
52
2003
Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors. Zbl 1334.92204
Lorz, Alexander; Lorenzi, Tommaso; Clairambault, Jean; Escargueil, Alexandre; Perthame, Benoît
52
2015
A limiting case for velocity averaging. Zbl 0956.45010
Perthame, B.; Souganidis, P. E.
51
1998
Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration. Zbl 1253.35186
Bouin, Emeric; Calvez, Vincent; Meunier, Nicolas; Mirrahimi, Sepideh; Perthame, Benoît; Raoul, Gaël; Voituriez, Raphaël
51
2012
Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies. Zbl 1071.35079
Audusse, Emmanuel; Perthame, Benoît
50
2005
A numerical method using upwind schemes for the resolution of two-phase flows. Zbl 0893.76052
Coquel, F.; El Amine, K.; Godlewski, E.; Perthame, B.; Rascle, P.
49
1997
Weighted \(L^ \infty\) bounds and uniqueness for the Boltzmann BGK model. Zbl 0786.76072
Perthame, B.; Pulvirenti, M.
49
1993
Microreversible collisions for polyatomic gases and Boltzmann’s theorem. Zbl 0807.76067
Bourgat, J.-F.; Desvillettes, L.; Le Tallec, P.; Perthame, B.
49
1994
A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation. Zbl 1290.35194
Audusse, Emmanuel; Bristeau, Marie-Odile; Perthame, Benoît; Sainte-Marie, Jacques
48
2011
Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure. Zbl 0919.35088
Perthame, B.
47
1998
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025
Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît
47
2013
Dynamics of a structured neuron population. Zbl 1267.35239
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine
45
2010
Mathematical tools for kinetic equations. Zbl 1151.82351
Perthame, Benoît
45
2004
On spherical symmetry solutions of the Euler-Poisson equation for the evolution of gaseous stars. (Sur les solutions à symmétrie sphérique de l’équation d’Euler-Poisson pour l’évolution d’étoiles gazeuses.) Zbl 0743.35048
Makino, Tetu; Perthame, Benoît
44
1990
Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
40
2013
A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows. Zbl 1044.35056
Bouchut, François; Mangeney-Castelnau, Anne; Perthame, Benoît; Vilotte, Jean-Pierre
40
2003
Existence of solutions of the hyperbolic Keller-Segel model. Zbl 1180.35343
Perthame, Benoît; Dalibard, Anne-Laure
38
2009
Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations. Zbl 0691.49028
Barles, G.; Perthame, B.
37
1990
Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases. Zbl 1101.76377
Andries, Pierre; Bourgat, Jean-François; le Tallec, Patrick; Perthame, Benoit
37
2002
Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459
Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya
36
2008
Relaxation and self-sustained oscillations in the time elapsed neuron network model. Zbl 1278.82046
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine
36
2013
Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces. Zbl 1134.92006
Corrias, Lucilla; Perthame, Benoît
35
2008
Stability in a nonlinear population maturation model. Zbl 1020.92025
Mischler, Stéphane; Perthame, Benoît; Ryzhik, Lenya
35
2002
General entropy equations for structured population models and scattering. Zbl 1049.35070
Michel, Philippe; Mischler, Stéphane; Perthame, Benoît
35
2004
Non-existence of global solutions to Euler-Poisson equations for repulsive forces. Zbl 0717.35049
Perthame, Benoît
34
1990
A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091
Bouchut, F.; Bourdarias, Ch.; Perthame, B.
34
1996
Exponential decay for the growth-fragmentation/cell-division equations. Zbl 1183.35038
Laurençot, Philippe; Perthame, Benoit
34
2009
A Hele-Shaw problem for tumor growth. Zbl 1377.35245
Mellet, Antoine; Perthame, Benoît; Quirós, Fernando
34
2017
Strichartz’ estimates for kinetic transport equations. (Estimations de Strichartz pour les équations de transport cinétique.) Zbl 0848.35095
Castella, François; Perthame, Benoît
33
1996
Regularity and propagation of moments in some nonlinear Vlasov systems. Zbl 0984.35102
Gasser, I.; Jabin, P.-E.; Perthame, B.
33
2000
Incompressible limit of a mechanical model of tumour growth with viscosity. Zbl 1353.35294
Perthame, Benoît; Vauchelet, Nicolas
32
2015
Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
32
2014
Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics. Zbl 1137.49027
Barles, Guy; Perthame, Benoît
31
2007
Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038
Nadin, Grégoire; Perthame, Benoît; Tang, Min
31
2011
Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation. Zbl 1333.92009
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine
31
2014
Concentration in the nonlocal Fisher equation: the Hamilton-Jacobi limit. Zbl 1337.35077
Perthame, Benoît; Génieys, Stephane
31
2007
The Rosseland approximation for the radiative transfer equations. Zbl 0654.65095
Bardos, C.; Golse, F.; Perthame, B.
30
1987
Remarks on Hamilton-Jacobi equations with measurable time-dependent Hamiltonians. Zbl 0688.35052
Lions, P. L.; Perthame, B.
29
1987
Coupling Boltzmann and Euler equations without overlapping. Zbl 0796.76063
Bourgat, J. F.; Le Tallec, P.; Perthame, B.; Qiu, Y.
28
1994
Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039
Calvez, V.; Lenuzza, N.; Doumic, M.; Deslys, J.-P.; Mouthon, F.; Perthame, B.
28
2010
A structured population model of cell differentiation. Zbl 1235.35030
Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P.
27
2011
Some new Godunov and relaxation methods for two-phase flow problems. Zbl 1064.76545
Coquel, F.; Godlewski, E.; Perthame, B.; In, A.; Rascle, P.
27
2001
Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience. Zbl 1336.35332
Carrillo, José Antonio; Perthame, Benoît; Salort, Delphine; Smets, Didier
27
2015
Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066
Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B.
27
2013
Generalized solutions of the radiative transfer equations in a singular case. Zbl 0614.35084
Golse, F.; Perthame, B.
26
1986
Maximum principle on the entropy and second-order kinetic schemes. Zbl 0795.35085
Khobalatte, Brahim; Perthame, Benoit
26
1994
An age-and-cyclin-structured cell population model for healthy and tumoral tissues. Zbl 1148.92014
Brikci, Fadia Bekkal; Clairambault, Jean; Ribba, Benjamin; Perthame, Benoît
26
2008
Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120
Haskovec, Jan; Markowich, Peter; Perthame, Benoit
26
2015
Line-energy Ginzburg-Landau models: zero-energy states. Zbl 1072.35051
Otto, Felix; Jabin, Pierre-Emmanuel; Perthame, Benoît
25
2002
Boltzmann equation with infinite energy: Renormalized solutions and distributional solutions for small initial data and initial data close to a Maxwellian. Zbl 0889.35077
Mischler, S.; Perthame, B.
25
1997
On the inverse problem for a size-structured population model. Zbl 1118.35072
Perthame, Benoît; Zubelli, Jorge P.
24
2007
From Vlasov equation to degenerate nonlocal Cahn-Hilliard equation. Zbl 1522.35506
Elbar, Charles; Mason, Marco; Perthame, Benoît; Skrzeczkowski, Jakub
2
2023
Convergence rate for the incompressible limit of nonlinear diffusion-advection equations. Zbl 1519.35038
David, Noemi; Dębiec, Tomasz; Perthame, Benoît
2
2023
A Hamilton-Jacobi approach to evolution of dispersal. Zbl 1510.35026
Lam, King-Yeung; Lou, Yuan; Perthame, Benoît
2
2023
Fast reaction limit with nonmonotone reaction function. Zbl 1525.35017
Perthame, Benoît; Skrzeczkowski, Jakub
1
2023
Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience. Zbl 1518.35161
Dou, Xu’an; Perthame, Benoît; Salort, Delphine; Zhou, Zhennan
1
2023
The Aronson-Bénilan estimate in Lebesgue spaces. Zbl 1518.35157
Bevilacqua, Giulia; Perthame, Benoît; Schmidtchen, Markus
1
2023
Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model. Zbl 1507.35038
Elbar, Charles; Perthame, Benoît; Poulain, Alexandre
3
2022
A multiple time renewal equation for neural assemblies with elapsed time model. Zbl 1501.35398
Torres, Nicolás; Perthame, Benoît; Salort, Delphine
3
2022
Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility. Zbl 1507.35300
Lorenzi, T.; Perthame, B.; Ruan, X.
2
2022
Motility switching and front-back synchronisation in polarised cells. Zbl 1496.37091
Estrada-Rodriguez, Gissell; Perthame, Benoit
1
2022
An asymptotic preserving scheme for capturing concentrations in age-structured models arising in adaptive dynamics. Zbl 07540368
Almeida, Luis; Perthame, Benoît; Ruan, Xinran
1
2022
A coupled 3D-1D multiscale Keller-Segel model of chemotaxis and its application to cancer invasion. Zbl 1501.92006
Bubba, Federica; Perthame, Benoit; Cerroni, Daniele; Ciarletta, Pasquale; Zunino, Paolo
1
2022
Kinetic models for epidemic dynamics with social heterogeneity. Zbl 1467.92189
Dimarco, G.; Perthame, B.; Toscani, G.; Zanella, M.
18
2021
Free boundary limit of a tumor growth model with nutrient. Zbl 1478.35210
David, Noemi; Perthame, Benoît
17
2021
Incompressible limit for a two-species model with coupling through Brinkman’s law in any dimension. Zbl 1458.35421
Dębiec, Tomasz; Perthame, Benoît; Schmidtchen, Markus; Vauchelet, Nicolas
11
2021
Existence of a global weak solution for a reaction-diffusion problem with membrane conditions. Zbl 1470.35179
Ciavolella, Giorgia; Perthame, Benoît
6
2021
Final size and convergence rate for an epidemic in heterogeneous populations. Zbl 1473.92034
Almeida, Luis; Bliman, Pierre-Alexandre; Nadin, Grégoire; Perthame, Benoît; Vauchelet, Nicolas
4
2021
Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility. Zbl 1504.35076
Perthame, Benoît; Poulain, Alexandre
4
2021
A nonexpanding transport distance for some structured equations. Zbl 1480.35072
Fournier, Nicolas; Perthame, Benoît
3
2021
Fokker-Plank system for movement of micro-organism population in confined environment. Zbl 1472.35388
Fu, Jingyi; Perthame, Benoit; Tang, Min
3
2021
Sharp long-time asymptotics for chemotaxis with free boundary. Zbl 1467.35053
Li, Hai-Liang; Perthame, Benoít; Wen, Xinmei
2
2021
An elapsed time model for strongly coupled inhibitory and excitatory neural networks. Zbl 1484.35274
Torres, Nicolás; Cáceres, María J.; Perthame, Benoît; Salort, Delphine
2
2021
Fast voltage dynamics of voltage-conductance models for neural networks. Zbl 1466.35350
Kim, Jeongho; Perthame, Benoît; Salort, Delphine
1
2021
Dynamics of concentration in a population structured by age and a phenotypic trait with mutations. Convergence of the corrector. Zbl 1466.35018
Nordmann, Samuel; Perthame, Benoît
1
2021
Hele-Shaw limit for a system of two reaction-(Cross-)diffusion equations for living tissues. Zbl 1435.35390
Bubba, Federica; Perthame, Benoît; Pouchol, Camille; Schmidtchen, Markus
23
2020
The flux limited Keller-Segel system; properties and derivation from kinetic equations. Zbl 1441.35056
Perthame, Benoît; Vauchelet, Nicolas; Wang, Zhian
15
2020
Transport distances for PDEs: the coupling method. Zbl 1459.35037
Fournier, Nicolas; Perthame, Benoît
8
2020
Multiple asymptotics of kinetic equations with internal states. Zbl 1450.35034
Perthame, Benoit; Sun, Weiran; Tang, Min; Yasuda, Shugo
5
2020
Reaction-diffusion systems with initial data of low regularity. Zbl 1448.35291
Laamri, El-Haj; Perthame, Benoît
5
2020
A two-species hyperbolic-parabolic model of tissue growth. Zbl 1425.35198
Gwiazda, Piotr; Perthame, Benoît; Świerczewska-Gwiazda, Agnieszka
24
2019
Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations. Zbl 1423.35177
Almeida, Luis; Bubba, Federica; Perthame, Benoît; Pouchol, Camille
18
2019
Backward parabolicity, cross-diffusion and Turing instability. Zbl 1411.35165
Moussa, Ayman; Perthame, Benoît; Salort, Delphine
7
2019
Derivation of a voltage density equation from a voltage-conductance kinetic model for networks of integrate-and-fire neurons. Zbl 1433.35429
Perthame, Benoît; Salort, Delphine
6
2019
Implicit and semi-implicit numerical schemes for the gradient flow of the formation of biological transport networks. Zbl 1437.65095
Fang, Di; Jin, Shi; Markowich, Peter; Perthame, Benoît
6
2019
Oscillatory regimes in a mosquito population model with larval feedback on egg hatching. Zbl 1448.92251
Strugarek, Martin; Dufour, Laetitia; Vauchelet, Nicolas; Almeida, Luis; Perthame, Benoît; Villela, Daniel A. M.
2
2019
Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller-Segel equation. Zbl 1397.92101
Perthame, Benoît; Yasuda, Shugo
19
2018
Traveling wave and aggregation in a flux-limited Keller-Segel model. Zbl 1405.92030
Calvez, Vincent; Perthame, Benoît; Yasuda, Shugo
16
2018
Dynamics of concentration in a population model structured by age and a phenotypical trait. Zbl 1398.35251
Nordmann, Samuel; Perthame, Benoît; Taing, Cécile
9
2018
The fractional diffusion limit of a kinetic model with biochemical pathway. Zbl 1395.35015
Perthame, Benoît; Sun, Weiran; Tang, Min
9
2018
Long-time asymptotics for polymerization models. Zbl 1400.82316
Calvo, Juan; Doumic, Marie; Perthame, Benoît
8
2018
Super-linear propagation for a general, local cane toads model. Zbl 1407.35112
Henderson, Christopher; Perthame, Benoît; Souganidis, Panagiotis E.
4
2018
Analysis of a system describing proliferative-quiescent cell dynamics. Zbl 1390.37143
Clairambault, Jean; Perthame, Benoît; Maran, Andrada Quillas
1
2018
A Hele-Shaw problem for tumor growth. Zbl 1377.35245
Mellet, Antoine; Perthame, Benoît; Quirós, Fernando
34
2017
On interfaces between cell populations with different mobilities. Zbl 1359.35204
Lorenzi, Tommaso; Lorz, Alexander; Perthame, Benoît
20
2017
Distributed synaptic weights in a LIF neural network and learning rules. Zbl 1378.92006
Perthame, Benoît; Salort, Delphine; Wainrib, Gilles
5
2017
Toward an integrated workforce planning framework using structured equations. Zbl 1403.90462
Doumic, Marie; Perthame, Benoît; Ribes, Edouard; Salort, Delphine; Toubiana, Nathan
1
2017
Notes on a PDE system for biological network formation. Zbl 1334.35101
Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias
23
2016
Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway. Zbl 1358.35207
Perthame, Benoît; Tang, Min; Vauchelet, Nicolas
21
2016
Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027
Perthame, Benoit; Souganidis, P. E.
20
2016
Uncertainty propagation; intrusive kinetic formulations of scalar conservation laws. Zbl 1362.35342
Despres, Bruno; Perthame, Benoit
18
2016
Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360
Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E.
10
2016
Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes. Zbl 1345.60069
Gess, Benjamin; Perthame, Benoît; Souganidis, Panagiotis E.
9
2016
Parabolic equations in biology. Growth, reaction, movement and diffusion. Zbl 1333.35001
Perthame, Benoît
61
2015
Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors. Zbl 1334.92204
Lorz, Alexander; Lorenzi, Tommaso; Clairambault, Jean; Escargueil, Alexandre; Perthame, Benoît
52
2015
Incompressible limit of a mechanical model of tumour growth with viscosity. Zbl 1353.35294
Perthame, Benoît; Vauchelet, Nicolas
32
2015
Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience. Zbl 1336.35332
Carrillo, José Antonio; Perthame, Benoît; Salort, Delphine; Smets, Didier
27
2015
Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120
Haskovec, Jan; Markowich, Peter; Perthame, Benoit
26
2015
Asymptotic analysis of a selection model with space. Zbl 1327.35011
Mirrahimi, Sepideh; Perthame, Benoît
23
2015
Time fluctuations in a population model of adaptive dynamics. Zbl 1312.35011
Mirrahimi, Sepideh; Perthame, Benoît; Souganidis, Panagiotis E.
10
2015
Dynamics of time elapsed inhomogeneous neuron network model. (Dynamique de réseaux de neurones inhomogènes structurés en âge.) Zbl 1337.92014
Kang, Moon-Jin; Perthame, Benoît; Salort, Delphine
4
2015
A simple derivation of BV bounds for inhomogeneous relaxation systems. Zbl 1316.35183
Perthame, Benoît; Seguin, Nicolas; Tournus, Magali
4
2015
Data assimilation for hyperbolic conservation laws: a Luenberger observer approach based on a kinetic description. Zbl 1329.35195
Boulanger, Anne-Celine; Moireau, Philippe; Perthame, Benoît; Sainte-Marie, Jacques
4
2015
Transversal instability for the thermodiffusive reaction-diffusion system. Zbl 1328.35097
Kowalczyk, Michal; Perthame, Benoît; Vauchelet, Nicolas
1
2015
Competition and boundary formation in heterogeneous media: application to neuronal differentiation. Zbl 1325.35237
Perthame, Benoît; Quiñinao, Cristóbal; Touboul, Jonathan
1
2015
The Hele-Shaw asymptotics for mechanical models of tumor growth. Zbl 1293.35347
Perthame, Benoît; Quirós, Fernando; Vázquez, Juan Luis
82
2014
Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case. Zbl 1323.35233
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
32
2014
Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation. Zbl 1333.92009
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine
31
2014
Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient. Zbl 1366.92065
Perthame, Benoît; Tang, Min; Vauchelet, Nicolas
24
2014
Derivation of a Hele-Shaw type system from a cell model with active motion. Zbl 1325.35092
Perthame, Benoît; Quirós, Fernando; Tang, Min; Vauchelet, Nicholas
21
2014
Beyond blow-up in excitatory integrate and fire neuronal networks: refractory period and spontaneous activity. Zbl 1412.92001
Cáceres, María J.; Perthame, Benoît
17
2014
Direct competition results from strong competition for limited resource. Zbl 1293.35346
Mirrahimi, Sepideh; Perthame, Benoît; Wakano, Joe Yuichiro
10
2014
Some mathematical aspects of tumor growth and therapy. Zbl 1373.35322
Perthame, Benoît
9
2014
Long-term behaviour of phenotypically structured models. Zbl 1371.92087
Lorz, Alexander; Perthame, Benoît
5
2014
Composite waves for a cell population system modeling tumor growth and invasion. Zbl 1321.35249
Tang, Min; Vauchelet, Nicolas; Cheddadi, Ibrahim; Vignon-Clementel, Irene; Drasdo, Dirk; Perthame, Benoît
5
2014
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025
Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît
47
2013
Scalar conservation laws with rough (stochastic) fluxes. Zbl 1333.60140
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
40
2013
Relaxation and self-sustained oscillations in the time elapsed neuron network model. Zbl 1278.82046
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine
36
2013
Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066
Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B.
27
2013
Optimal regularizing effect for scalar conservation laws. Zbl 1288.35343
Golse, François; Perthame, Benoît
23
2013
Stochastic averaging lemmas for kinetic equations. Zbl 1323.35234
Lions, Pierre-Louis; Perthame, Benoît; Souganidis, Panagiotis E.
17
2013
On a voltage-conductance kinetic system for integrate & fire neural networks. Zbl 1284.35103
Perthame, Benoît; Salort, Delphine
14
2013
Composite waves for a cell population system modeling tumor growth and invasion. Zbl 1346.92017
Tang, Min; Vauchelet, Nicolas; Cheddadi, Ibrahim; Vignon-Clementel, Irene; Drasdo, Dirk; Perthame, Benoît
11
2013
Nonlinear stability of a Vlasov equation for magnetic plasmas. Zbl 1262.35197
Charles, Frédérique; Després, Bruno; Perthame, Benoît; Sentis, Rémis
4
2013
Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration. Zbl 1253.35186
Bouin, Emeric; Calvez, Vincent; Meunier, Nicolas; Mirrahimi, Sepideh; Perthame, Benoît; Raoul, Gaël; Voituriez, Raphaël
51
2012
Evolution of species trait through resource competition. Zbl 1279.92060
Mirrahimi, Sepideh; Perthame, Benoît; Wakano, Joe Yuichiro
19
2012
Regularization in Keller-Segel type systems and the De Giorgi method. Zbl 1288.35146
Perthame, Benoît; Vasseur, Alexis
10
2012
A singular Hamilton-Jacobi equation modeling the tail problem. Zbl 1280.35007
Mirrahimi, Sepideh; Barles, Guy; Perthame, Benoît; Souganidis, Panagiotis E.
6
2012
Analysis of a simplified model of the urine concentration mechanism. Zbl 1262.35204
Tournus, Magali; Edwards, Aurélie; Seguin, Nicolas; Perthame, Benoît
4
2012
Dirac mass dynamics in multidimensional nonlocal parabolic equations. Zbl 1229.35113
Lorz, Alexander; Mirrahimi, Sepideh; Perthame, Benoît
74
2011
Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198
Cáceres, María J.; Carrillo, José A.; Perthame, Benoît
59
2011
A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation. Zbl 1290.35194
Audusse, Emmanuel; Bristeau, Marie-Odile; Perthame, Benoît; Sainte-Marie, Jacques
48
2011
Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation. Zbl 1219.35038
Nadin, Grégoire; Perthame, Benoît; Tang, Min
31
2011
A structured population model of cell differentiation. Zbl 1235.35030
Doumic, Marie; Marciniak-Czochra, Anna; Perthame, Benoît; Zubelli, Jorge P.
27
2011
Travelling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities. Zbl 1223.35102
Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas
23
2011
Population formulation of adaptative meso-evolution: theory and numerics. Zbl 1379.92052
Mirrahimi, Sepideh; Perthame, Benoît; Bouin, Emeric; Millien, Pierre
11
2011
Waves for a hyperbolic Keller–Segel model and branching instabilities. Zbl 1221.35088
Cerreti, Fiammetta; Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas
10
2011
A homogenization approach to flashing ratchets. Zbl 1209.35013
Perthame, Benoît; Souganidis, Panagiotis E.
4
2011
Dynamics of a structured neuron population. Zbl 1267.35239
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine
45
2010
Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039
Calvez, V.; Lenuzza, N.; Doumic, M.; Deslys, J.-P.; Mouthon, F.; Perthame, B.
28
2010
Models of self-organizing bacterial communities and comparisons with experimental observations. Zbl 1184.35158
Marrocco, A.; Henry, H.; Holland, I. B.; Plapp, M.; Séror, S. J.; Perthame, B.
6
2010
...and 170 more Documents
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Cited by 4,855 Authors

152 Perthame, Benoît
69 Carrillo de la Plata, José Antonio
44 Winkler, Michael
40 Jabin, Pierre-Emmanuel
40 Zhang, Xianwen
37 Calvez, Vincent
34 Bouchut, François
34 Fernández-Nieto, Enrique Domingo
34 Liu, Jianguo
34 Pareschi, Lorenzo
33 Berthon, Christophe
32 Bellomo, Nicola
32 Shu, Chi-Wang
31 Chen, Gui-Qiang G.
31 Kurganov, Alexander
31 Vauchelet, Nicolas
30 Lu, Yunguang
29 Jin, Shi
29 Yun, Seok-Bae
28 Laurençot, Philippe
27 Lorenzi, Tommaso
26 Degond, Pierre
26 Karlsen, Kenneth Hvistendahl
25 Goudon, Thierry
25 Souganidis, Panagiotis E.
24 Parés Madroñal, Carlos
24 Wang, Zhian
23 Chalons, Christophe
23 Gess, Benjamin
23 Mai Duc Thanh
22 Mischler, Stéphane
22 Yang, Tong
22 Zhan, Huashui
21 Golse, François
21 Masmoudi, Nader
21 Mirrahimi, Sepideh
21 Rein, Gerhard
21 Xing, Yulong
20 Filbet, Francis
20 Hérard, Jean-Marc
20 Hu, Jingwei
20 Klingenberg, Christian
20 Markowich, Peter Alexander
20 Morales de Luna, Tomás
19 Ducomet, Bernard
19 Gwiazda, Piotr
19 Huang, Feimin
19 Mangeney, Anne
19 Tao, Youshan
18 Castro, Manuel J.
18 Dimarco, Giacomo
18 Doumic, Marie
18 Gosse, Laurent
18 Lions, Pierre-Louis
18 Soler, Juan S.
18 Volpert, Vitaly A.
17 Barles, Guy
17 Bresch, Didier
17 Castro-Díaz, Manuel Jesús
17 Desvillettes, Laurent
17 Gabriel, Pierre
17 Martínez Gamba, Irene
17 Henderson, Christopher
17 Jüngel, Ansgar
17 Li, Hailiang
17 Liu, Hailiang
17 Mieussens, Luc
17 Natalini, Roberto
17 Popov, Boyan
17 Salort, Delphine
17 Schmeiser, Christian
17 Tadmor, Eitan
16 Andreianov, Boris
16 Bisi, Marzia
16 Bouin, Emeric
16 Chen, Li
16 Coquel, Frédéric
16 Li, Gang
16 Nečasová, Šárka
16 Velázquez, Juan J. L.
15 Chertock, Alina E.
15 Frid, Hermano
15 Ha, Seung-Yeal
15 Kim, Inwon Christina
15 Puppo, Gabriella
15 Risebro, Nils Henrik
15 Saint-Raymond, Laure
15 Schaeffer, Jack W.
15 Surulescu, Christina
15 Tang, Min
15 Trofimchuk, Sergei I.
14 Audusse, Emmanuel
14 Brull, Stephane
14 Choi, Young-Pil
14 Clairambault, Jean
14 Colombo, Rinaldo M.
14 Escobedo Martínez, Miguel
14 Guermond, Jean-Luc
14 Klar, Axel
14 Zhang, Xiangxiong
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Cited in 409 Serials

318 Journal of Computational Physics
251 Journal of Differential Equations
168 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
136 Journal of Mathematical Analysis and Applications
123 Archive for Rational Mechanics and Analysis
115 SIAM Journal on Mathematical Analysis
113 Communications in Partial Differential Equations
99 Journal of Mathematical Biology
97 Journal of Scientific Computing
94 Kinetic and Related Models
87 Computers and Fluids
83 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
73 Journal of Statistical Physics
71 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
69 Journal de Mathématiques Pures et Appliquées. Neuvième Série
67 Communications in Mathematical Physics
65 Comptes Rendus. Mathématique. Académie des Sciences, Paris
60 Journal of Functional Analysis
60 Discrete and Continuous Dynamical Systems
60 Nonlinear Analysis. Real World Applications
59 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
57 Discrete and Continuous Dynamical Systems. Series B
55 Acta Applicandae Mathematicae
50 Mathematical Methods in the Applied Sciences
49 Mathematics of Computation
49 Applied Mathematics Letters
49 Journal of Hyperbolic Differential Equations
47 Journal of Mathematical Physics
46 Nonlinearity
46 ZAMP. Zeitschrift für angewandte Mathematik und Physik
46 SIAM Journal on Scientific Computing
45 Computers & Mathematics with Applications
40 Applied Mathematics and Computation
38 Numerische Mathematik
38 SIAM Journal on Numerical Analysis
37 Bulletin of Mathematical Biology
36 Mathematical and Computer Modelling
35 Transactions of the American Mathematical Society
35 Mathematical Biosciences and Engineering
33 SIAM Journal on Applied Mathematics
32 Physica D
32 Networks and Heterogeneous Media
30 Transport Theory and Statistical Physics
30 European Journal of Mechanics. B. Fluids
30 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
29 Journal of Evolution Equations
29 Journal of Theoretical Biology
28 Journal of Fluid Mechanics
27 Quarterly of Applied Mathematics
27 NoDEA. Nonlinear Differential Equations and Applications
26 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
25 Communications on Pure and Applied Mathematics
25 Journal of Computational and Applied Mathematics
24 Computer Methods in Applied Mechanics and Engineering
24 Communications in Computational Physics
22 Applied Mathematics and Optimization
22 Calculus of Variations and Partial Differential Equations
22 Multiscale Modeling & Simulation
20 Applied Numerical Mathematics
20 Mathematical Modelling of Natural Phenomena
19 Applicable Analysis
19 Journal of Nonlinear Science
18 Mathematical Biosciences
18 Chinese Annals of Mathematics. Series B
18 European Journal of Applied Mathematics
18 Applied Mathematical Modelling
17 International Journal for Numerical Methods in Fluids
17 Séminaire Laurent Schwartz. EDP et Applications
16 Journal of Dynamics and Differential Equations
16 Communications on Pure and Applied Analysis
15 Stochastic Processes and their Applications
15 Physics of Fluids
15 Journal of Biological Dynamics
14 The Annals of Applied Probability
14 Boundary Value Problems
13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
13 Journal of Mathematical Fluid Mechanics
13 Nonlinear Analysis. Theory, Methods & Applications
12 Proceedings of the American Mathematical Society
12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
12 Acta Mathematica Scientia. Series B. (English Edition)
12 Oberwolfach Reports
12 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
12 International Journal on Finite Volumes
11 Mathematische Annalen
11 SIAM Journal on Control and Optimization
11 Advances in Applied Mathematics and Mechanics
11 Stochastic and Partial Differential Equations. Analysis and Computations
10 Indiana University Mathematics Journal
10 Numerical Methods for Partial Differential Equations
10 Asymptotic Analysis
10 Continuum Mechanics and Thermodynamics
10 Discrete and Continuous Dynamical Systems. Series S
10 Annals of PDE
9 Advances in Mathematics
9 Japan Journal of Industrial and Applied Mathematics
9 Advances in Computational Mathematics
9 Analysis & PDE
9 Science China. Mathematics
9 SMAI Journal of Computational Mathematics
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Cited in 49 Fields

3,623 Partial differential equations (35-XX)
1,696 Fluid mechanics (76-XX)
1,387 Biology and other natural sciences (92-XX)
1,110 Numerical analysis (65-XX)
863 Statistical mechanics, structure of matter (82-XX)
348 Probability theory and stochastic processes (60-XX)
244 Integral equations (45-XX)
228 Calculus of variations and optimal control; optimization (49-XX)
159 Operator theory (47-XX)
155 Ordinary differential equations (34-XX)
119 Dynamical systems and ergodic theory (37-XX)
113 Geophysics (86-XX)
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95 Systems theory; control (93-XX)
88 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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76 Astronomy and astrophysics (85-XX)
52 Operations research, mathematical programming (90-XX)
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2 Manifolds and cell complexes (57-XX)
1 Mathematical logic and foundations (03-XX)
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