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Author ID: brenier.yann Recent zbMATH articles by "Brenier, Yann"
Published as: Brenier, Yann; Brenier, Y.
External Links: MGP · Wikidata · IdRef · theses.fr
Documents Indexed: 110 Publications since 1981, including 2 Books
Co-Authors: 38 Co-Authors with 39 Joint Publications
1,521 Co-Co-Authors
all top 5

Serials

7 Comptes Rendus de l’Académie des Sciences. Série I
6 SIAM Journal on Numerical Analysis
5 Archive for Rational Mechanics and Analysis
4 Communications in Mathematical Physics
3 Calculus of Variations and Partial Differential Equations
3 Séminaire Équations aux Dérivées Partielles
3 Communications in Mathematical Sciences
2 Communications on Pure and Applied Mathematics
2 Physica D
2 SIAM Journal on Mathematical Analysis
2 Journal of Nonlinear Science
2 Methods and Applications of Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal for Numerical Methods in Fluids
1 Journal of Mathematical Physics
1 Nonlinearity
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Journal of Optimization Theory and Applications
1 Monatshefte für Mathematik
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of the American Mathematical Society
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Geometric and Functional Analysis. GAFA
1 Communications in Partial Differential Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Applied Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Journal of Convex Analysis
1 Bulletin des Sciences Mathématiques
1 Discrete and Continuous Dynamical Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of Mathematical Fluid Mechanics
1 Journal of Hyperbolic Differential Equations
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Lecture Notes in Mathematics
1 SMF Journée Annuelle
1 Kinetic and Related Models
1 Confluentes Mathematici
1 Annales Mathématiques du Québec
1 Séminaire Laurent Schwartz. EDP et Applications
1 Tunisian Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

81 Publications have been cited 2,501 times in 1,803 Documents Cited by Year
Polar factorization and monotone rearrangement of vector-valued functions. Zbl 0738.46011
Brenier, Yann
473
1991
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Zbl 0968.76069
Benamou, Jean-David; Brenier, Yann
429
2000
Sticky particles and scalar conservation laws. Zbl 0924.35080
Brenier, Yann; Grenier, Emmanuel
157
1998
Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110
Brenier, Y.
133
2000
Décomposition polaire et réarrangement monotone des champs de vecteurs. (Polar decomposition and increasing rearrangement of vector fields). Zbl 0652.26017
Brenier, Yann
121
1987
Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations. Zbl 1085.35097
Brenier, Y.
76
2005
Weak-strong uniqueness for measure-valued solutions. Zbl 1219.35182
Brenier, Yann; De Lellis, Camillo; Székelyhidi, László jun.
63
2011
The least action principle and the related concept of generalized flows for incompressible perfect fluids. Zbl 0697.76030
Brenier, Yann
60
1989
Averaged multivalued solutions for scalar conservation laws. Zbl 0565.65054
Brenier, Yann
55
1984
Optimal transportation and applications. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 2–8, 2001. Zbl 1013.00028
Ambrosio, Luigi; Brenier, Yann; Buttazzo, Giusseppe; Caffarelli, Luis A.; Villani, Cédric
54
2003
Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations. Zbl 0910.35098
Brenier, Yann
48
1999
Extended Monge-Kantorovich theory. Zbl 1064.49036
Brenier, Yann
47
2003
A kinetic formulation for multi-branch entropy solutions of scalar conservation laws. Zbl 0893.35068
Brenier, Y.; Corrias, L.
46
1998
Homogeneous hydrostatic flows with convex velocity profiles. Zbl 0984.35131
Brenier, Yann
39
1999
Weak existence for the semigeostrophic equations formulated as a coupled Monge–Ampère/transport problem. Zbl 0915.35024
Benamou, J.-D.; Brenier, Y.
39
1998
Upstream differencing for multiphase flow in reservoir simulation. Zbl 0735.76071
Brenier, Yann; Jaffré, Jérôme
38
1991
Hydrodynamic structure of the augmented Born-Infeld equations. Zbl 1055.78003
Brenier, Yann
38
2004
Résolution d’équations d’évolution quasilinéaires en dimension N d’espace à l’aide d’équations linéaires en dimension \(N+1\). Zbl 0549.35055
Brenier, Yann
33
1983
Sticky particle dynamics with interactions. Zbl 1282.35236
Brenier, Y.; Gangbo, W.; Savaré, G.; Westdickenberg, M.
29
2013
The dual least action problem for an ideal, incompressible fluid. Zbl 0797.76006
Brenier, Y.
29
1993
A hierarchy of models for two-phase flows. Zbl 0998.76088
Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F.
27
2000
On a relaxation approximation of the incompressible Navier-Stokes equations. Zbl 1080.35064
Brenier, Yann; Natalini, Roberto; Puel, Marjolaine
25
2004
Remarks on the derivation of the hydrostatic Euler equations. Zbl 1040.35068
Brenier, Yann
23
2003
Incompressible Euler and e-MHD as scaling limits of the Vlasov/Maxwell system. Zbl 1089.35048
Brenier, Yann; Mauser, Norbert; Puel, Marjolaine
21
2003
Contractive metrics for scalar conservation laws. Zbl 1071.35081
Bolley, François; Brenier, Yann; Loeper, Grégoire
20
2005
Optimal transport, convection, magnetic relaxation and generalized Boussinesq equations. Zbl 1177.49064
Brenier, Yann
19
2009
Generalized solutions and hydrostatic approximation of the Euler equations. Zbl 1143.76386
Brenier, Yann
19
2008
The Monge-Kantorovitch mass transfer and its computational fluid mechanics formulation. Zbl 1058.76586
Benamou, J.-D.; Brenier, Y.; Guittet, K.
19
2002
A homogenized model for vortex sheets. Zbl 0962.35140
Brenier, Yann
18
1997
Un algorithme rapide pour le calcul de transformées de Legendre-Fenchel discrètes. (A fast algorithm for the computation of the discrete Legendre-Fenchel transform). Zbl 0667.65006
Brenier, Yann
17
1989
\(L^{2}\) formulation of multidimensional scalar conservation laws. Zbl 1180.35346
Brenier, Yann
17
2009
The discrete one-sided Lipschitz condition for convex scalar conversation laws. Zbl 0637.65090
Brenier, Yann; Osher, Stanley
16
1988
A numerical method for the optimal time-continuous mass transport problem and related problems. Zbl 0916.65068
Benamou, Jean-David; Brenier, Yann
16
1999
Derivation of particle, string, and membrane motions from the born-infeld electromagnetism. Zbl 1110.78004
Brenier, Yann; Yong, Wen-An
15
2005
Singular limit of the Vlasov-Poisson system in the quasi-neutral regime: The time independent case. (Limite singulière du système de Vlasov-Poisson dans le régime de quasi neutralité: Le cas indépendant du temps.) Zbl 0803.35110
Brenier, Yann; Grenier, Emmanuel
14
1994
The multi-water-bag equations for collisionless kinetic modeling. Zbl 1185.35292
Besse, Nicolas; Berthelin, Florent; Brenier, Yann; Bertrand, Pierre
13
2009
Mixed \(L^2\)-Wasserstein optimal mapping between prescribed density functions. Zbl 1010.49029
Benamou, J. D.; Brenier, Y.
13
2001
Some geometric PDEs related to hydrodynamics and electrodynamics. Zbl 1136.37355
Brenier, Yann
11
2002
A geometric approximation to the Euler equations: the Vlasov-Monge-Ampère system. Zbl 1075.35046
Brenier, Y.; Loeper, G.
11
2004
Topology-preserving diffusion of divergence-free vector fields and magnetic relaxation. Zbl 1294.35077
Brenier, Yann
11
2014
Upper bounds on coarsening rates in demixing binary viscous liquids. Zbl 1226.82045
Brenier, Yann; Otto, Felix; Seis, Christian
11
2011
Derivation of the Euler equations from a caricature of Coulomb interaction. Zbl 1025.82012
Brenier, Yann
10
2000
Une application de la symetrisation de Steiner aux équations hyperboliques: la méthode de transport et ecroulement. Zbl 0459.35006
Brenier, Yann
9
1981
Numerical analysis of a multi-phasic mass transport problem. Zbl 1135.49025
Benamou, Jean-David; Brenier, Yann; Guittet, Kevin
7
2004
Topics on hydrodynamics and volume preserving maps. Zbl 1183.37140
Brenier, Yann
7
2003
On optimal transport of matrix-valued measures. Zbl 1460.49036
Brenier, Yann; Vorotnikov, Dmitry
6
2020
The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem. Zbl 1410.35102
Brenier, Yann
6
2018
\(L^p\) approximation of maps by diffeomorphisms. Zbl 1055.26008
Brenier, Yann; Gangbo, Wilfrid
6
2003
Remarks on some linear hyperbolic equations with oscillatory coefficients. Zbl 0768.35057
Brenier, Yann
5
1991
From conservative to dissipative systems through quadratic change of time, with application to the curve-shortening flow. Zbl 1387.35475
Brenier, Yann; Duan, Xianglong
5
2018
Rigorous derivation of the \(x-z\) semigeostrophic equations. Zbl 1178.35299
Brenier, Yann; Cullen, Mike
5
2009
A combinatorial algorithm for the Euler equations of incompressible flows. Zbl 0687.76016
Brenier, Yann
5
1989
Order preserving vibrating strings and applications to electrodynamics and magnetohydrodynamics. Zbl 1107.74028
Brenier, Yann
5
2004
Relaxation limits for a class of balance laws with kinetic formulation. Zbl 0933.35128
Brenier, Yann; Corrias, Lucilla; Natalini, Roberto
5
1998
On the hydrostatic and darcy limits of the convective Navier-Stokes equations. Zbl 1177.86005
Brenier, Yann
4
2009
Connections between optimal transport, combinatorial optimization and hydrodynamics. Zbl 1335.49075
Brenier, Yann
4
2015
A note on deformations of 2D fluid motions using 3D Born-Infeld equations. Zbl 1063.35130
Brenier, Yann
4
2004
Rearrangement, convection, convexity and entropy. Zbl 1292.35226
Brenier, Yann
4
2013
Non relativistic strings may be approximated by relativistic strings. Zbl 1110.35094
Brenier, Yann
3
2005
Dissipative behavior of some fully nonlinear KdV-type equations. Zbl 0945.35076
Brenier, Yann; Levy, Doron
3
2000
Remarks on the minimizing geodesic problem in inviscid incompressible fluid mechanics. Zbl 1282.35291
Brenier, Yann
3
2013
A modified least action principle allowing mass concentrations for the early universe reconstruction problem. Zbl 1229.83073
Brenier, Yann
3
2011
Hilbertian approaches to some nonlinear conservation laws. Zbl 1223.35002
Brenier, Yann
3
2010
Approximate Riemann solvers and numerical flux functions. Zbl 0597.65071
Brenier, Yann; Osher, Stanley
3
1986
Convergence of particle methods with random rezoning for the two- dimensional Euler and Navier-Stokes equations. Zbl 0832.76065
Brenier, Y.; Cottet, G.-H.
3
1995
Une méthode particulaire pour les équations non linéaires de diffusion convection en dimension un. (A particle method for nonlinear one-dimensional diffusion-convection equations). Zbl 0829.65113
Brenier, Yann
2
1990
Geometric origin and some properties of the arctangential heat equation. Zbl 1410.35081
Brenier, Yann
2
2019
Optimal multiphase transportation with prescribed momentum. Zbl 1091.49034
Brenier, Yann; Puel, Marjolaine
2
2002
An integrable example of gradient flow based on optimal transport of differential forms. Zbl 1401.49067
Brenier, Yann; Duan, Xianglong
2
2018
Some concepts of generalized and approximate solutions in ideal incompressible fluid mechanics related to the least action principle. Zbl 1418.35301
Brenier, Yann
1
2018
Extension of the Monge-Kantorovich theory to classical electrodynamics. Zbl 1357.49155
Brenier, Yann
1
2004
Optimal transportation of particles, fluids and currents. Zbl 1415.49029
Brenier, Yann
1
2015
The initial value problem for the Euler equations of fluids viewed as a concave maximization problem. Zbl 1397.35189
Brenier, Yann
1
2018
Approximation of a simple Navier-Stokes model by monotonic rearrangement. Zbl 1286.35203
Brenier, Yann
1
2014
Méthode de transport-écoulement par deplacement de lignes de niveau appliquée aux écoulements en milieu poreux. Zbl 0544.76100
Brenier, Yann
1
1982
On some limits in charged particle physics towards (magneto)hydrodynamic equations. (Sur quelques limites de la physique des particules chargées vers la (magnéto)hydrodynamique.) Zbl 0997.35056
Brenier, Yann; Mauser, Norbert J.; Puel, Marjolaine
1
2002
Hidden convexity in some nonlinear PDEs from geomety and physics. Zbl 1206.35099
Brenier, Y.
1
2010
On the motion of an ideal incompressible fluid. Zbl 0810.35082
Brenier, Yann
1
1994
Moment equations and entropy conditions for kinetic models. (Équations de moment et conditions d’entropie pour des modèles cinétiques.) Zbl 0874.35070
Brenier, Y.
1
1995
Some conservation laws given by kinetic models. (Quelques lois de conservations issues de modèles cinétiques.) Zbl 0873.35065
Brenier, Yann
1
1995
A domain decomposition method for the polar factorization of vector fields. Zbl 0797.65006
Benamou, J.-D.; Brenier, Y.
1
1994
On optimal transport of matrix-valued measures. Zbl 1460.49036
Brenier, Yann; Vorotnikov, Dmitry
6
2020
Geometric origin and some properties of the arctangential heat equation. Zbl 1410.35081
Brenier, Yann
2
2019
The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem. Zbl 1410.35102
Brenier, Yann
6
2018
From conservative to dissipative systems through quadratic change of time, with application to the curve-shortening flow. Zbl 1387.35475
Brenier, Yann; Duan, Xianglong
5
2018
An integrable example of gradient flow based on optimal transport of differential forms. Zbl 1401.49067
Brenier, Yann; Duan, Xianglong
2
2018
Some concepts of generalized and approximate solutions in ideal incompressible fluid mechanics related to the least action principle. Zbl 1418.35301
Brenier, Yann
1
2018
The initial value problem for the Euler equations of fluids viewed as a concave maximization problem. Zbl 1397.35189
Brenier, Yann
1
2018
Connections between optimal transport, combinatorial optimization and hydrodynamics. Zbl 1335.49075
Brenier, Yann
4
2015
Optimal transportation of particles, fluids and currents. Zbl 1415.49029
Brenier, Yann
1
2015
Topology-preserving diffusion of divergence-free vector fields and magnetic relaxation. Zbl 1294.35077
Brenier, Yann
11
2014
Approximation of a simple Navier-Stokes model by monotonic rearrangement. Zbl 1286.35203
Brenier, Yann
1
2014
Sticky particle dynamics with interactions. Zbl 1282.35236
Brenier, Y.; Gangbo, W.; Savaré, G.; Westdickenberg, M.
29
2013
Rearrangement, convection, convexity and entropy. Zbl 1292.35226
Brenier, Yann
4
2013
Remarks on the minimizing geodesic problem in inviscid incompressible fluid mechanics. Zbl 1282.35291
Brenier, Yann
3
2013
Weak-strong uniqueness for measure-valued solutions. Zbl 1219.35182
Brenier, Yann; De Lellis, Camillo; Székelyhidi, László jun.
63
2011
Upper bounds on coarsening rates in demixing binary viscous liquids. Zbl 1226.82045
Brenier, Yann; Otto, Felix; Seis, Christian
11
2011
A modified least action principle allowing mass concentrations for the early universe reconstruction problem. Zbl 1229.83073
Brenier, Yann
3
2011
Hilbertian approaches to some nonlinear conservation laws. Zbl 1223.35002
Brenier, Yann
3
2010
Hidden convexity in some nonlinear PDEs from geomety and physics. Zbl 1206.35099
Brenier, Y.
1
2010
Optimal transport, convection, magnetic relaxation and generalized Boussinesq equations. Zbl 1177.49064
Brenier, Yann
19
2009
\(L^{2}\) formulation of multidimensional scalar conservation laws. Zbl 1180.35346
Brenier, Yann
17
2009
The multi-water-bag equations for collisionless kinetic modeling. Zbl 1185.35292
Besse, Nicolas; Berthelin, Florent; Brenier, Yann; Bertrand, Pierre
13
2009
Rigorous derivation of the \(x-z\) semigeostrophic equations. Zbl 1178.35299
Brenier, Yann; Cullen, Mike
5
2009
On the hydrostatic and darcy limits of the convective Navier-Stokes equations. Zbl 1177.86005
Brenier, Yann
4
2009
Generalized solutions and hydrostatic approximation of the Euler equations. Zbl 1143.76386
Brenier, Yann
19
2008
Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations. Zbl 1085.35097
Brenier, Y.
76
2005
Contractive metrics for scalar conservation laws. Zbl 1071.35081
Bolley, François; Brenier, Yann; Loeper, Grégoire
20
2005
Derivation of particle, string, and membrane motions from the born-infeld electromagnetism. Zbl 1110.78004
Brenier, Yann; Yong, Wen-An
15
2005
Non relativistic strings may be approximated by relativistic strings. Zbl 1110.35094
Brenier, Yann
3
2005
Hydrodynamic structure of the augmented Born-Infeld equations. Zbl 1055.78003
Brenier, Yann
38
2004
On a relaxation approximation of the incompressible Navier-Stokes equations. Zbl 1080.35064
Brenier, Yann; Natalini, Roberto; Puel, Marjolaine
25
2004
A geometric approximation to the Euler equations: the Vlasov-Monge-Ampère system. Zbl 1075.35046
Brenier, Y.; Loeper, G.
11
2004
Numerical analysis of a multi-phasic mass transport problem. Zbl 1135.49025
Benamou, Jean-David; Brenier, Yann; Guittet, Kevin
7
2004
Order preserving vibrating strings and applications to electrodynamics and magnetohydrodynamics. Zbl 1107.74028
Brenier, Yann
5
2004
A note on deformations of 2D fluid motions using 3D Born-Infeld equations. Zbl 1063.35130
Brenier, Yann
4
2004
Extension of the Monge-Kantorovich theory to classical electrodynamics. Zbl 1357.49155
Brenier, Yann
1
2004
Optimal transportation and applications. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 2–8, 2001. Zbl 1013.00028
Ambrosio, Luigi; Brenier, Yann; Buttazzo, Giusseppe; Caffarelli, Luis A.; Villani, Cédric
54
2003
Extended Monge-Kantorovich theory. Zbl 1064.49036
Brenier, Yann
47
2003
Remarks on the derivation of the hydrostatic Euler equations. Zbl 1040.35068
Brenier, Yann
23
2003
Incompressible Euler and e-MHD as scaling limits of the Vlasov/Maxwell system. Zbl 1089.35048
Brenier, Yann; Mauser, Norbert; Puel, Marjolaine
21
2003
Topics on hydrodynamics and volume preserving maps. Zbl 1183.37140
Brenier, Yann
7
2003
\(L^p\) approximation of maps by diffeomorphisms. Zbl 1055.26008
Brenier, Yann; Gangbo, Wilfrid
6
2003
The Monge-Kantorovitch mass transfer and its computational fluid mechanics formulation. Zbl 1058.76586
Benamou, J.-D.; Brenier, Y.; Guittet, K.
19
2002
Some geometric PDEs related to hydrodynamics and electrodynamics. Zbl 1136.37355
Brenier, Yann
11
2002
Optimal multiphase transportation with prescribed momentum. Zbl 1091.49034
Brenier, Yann; Puel, Marjolaine
2
2002
On some limits in charged particle physics towards (magneto)hydrodynamic equations. (Sur quelques limites de la physique des particules chargées vers la (magnéto)hydrodynamique.) Zbl 0997.35056
Brenier, Yann; Mauser, Norbert J.; Puel, Marjolaine
1
2002
Mixed \(L^2\)-Wasserstein optimal mapping between prescribed density functions. Zbl 1010.49029
Benamou, J. D.; Brenier, Y.
13
2001
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Zbl 0968.76069
Benamou, Jean-David; Brenier, Yann
429
2000
Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110
Brenier, Y.
133
2000
A hierarchy of models for two-phase flows. Zbl 0998.76088
Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F.
27
2000
Derivation of the Euler equations from a caricature of Coulomb interaction. Zbl 1025.82012
Brenier, Yann
10
2000
Dissipative behavior of some fully nonlinear KdV-type equations. Zbl 0945.35076
Brenier, Yann; Levy, Doron
3
2000
Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations. Zbl 0910.35098
Brenier, Yann
48
1999
Homogeneous hydrostatic flows with convex velocity profiles. Zbl 0984.35131
Brenier, Yann
39
1999
A numerical method for the optimal time-continuous mass transport problem and related problems. Zbl 0916.65068
Benamou, Jean-David; Brenier, Yann
16
1999
Sticky particles and scalar conservation laws. Zbl 0924.35080
Brenier, Yann; Grenier, Emmanuel
157
1998
A kinetic formulation for multi-branch entropy solutions of scalar conservation laws. Zbl 0893.35068
Brenier, Y.; Corrias, L.
46
1998
Weak existence for the semigeostrophic equations formulated as a coupled Monge–Ampère/transport problem. Zbl 0915.35024
Benamou, J.-D.; Brenier, Y.
39
1998
Relaxation limits for a class of balance laws with kinetic formulation. Zbl 0933.35128
Brenier, Yann; Corrias, Lucilla; Natalini, Roberto
5
1998
A homogenized model for vortex sheets. Zbl 0962.35140
Brenier, Yann
18
1997
Convergence of particle methods with random rezoning for the two- dimensional Euler and Navier-Stokes equations. Zbl 0832.76065
Brenier, Y.; Cottet, G.-H.
3
1995
Moment equations and entropy conditions for kinetic models. (Équations de moment et conditions d’entropie pour des modèles cinétiques.) Zbl 0874.35070
Brenier, Y.
1
1995
Some conservation laws given by kinetic models. (Quelques lois de conservations issues de modèles cinétiques.) Zbl 0873.35065
Brenier, Yann
1
1995
Singular limit of the Vlasov-Poisson system in the quasi-neutral regime: The time independent case. (Limite singulière du système de Vlasov-Poisson dans le régime de quasi neutralité: Le cas indépendant du temps.) Zbl 0803.35110
Brenier, Yann; Grenier, Emmanuel
14
1994
On the motion of an ideal incompressible fluid. Zbl 0810.35082
Brenier, Yann
1
1994
A domain decomposition method for the polar factorization of vector fields. Zbl 0797.65006
Benamou, J.-D.; Brenier, Y.
1
1994
The dual least action problem for an ideal, incompressible fluid. Zbl 0797.76006
Brenier, Y.
29
1993
Polar factorization and monotone rearrangement of vector-valued functions. Zbl 0738.46011
Brenier, Yann
473
1991
Upstream differencing for multiphase flow in reservoir simulation. Zbl 0735.76071
Brenier, Yann; Jaffré, Jérôme
38
1991
Remarks on some linear hyperbolic equations with oscillatory coefficients. Zbl 0768.35057
Brenier, Yann
5
1991
Une méthode particulaire pour les équations non linéaires de diffusion convection en dimension un. (A particle method for nonlinear one-dimensional diffusion-convection equations). Zbl 0829.65113
Brenier, Yann
2
1990
The least action principle and the related concept of generalized flows for incompressible perfect fluids. Zbl 0697.76030
Brenier, Yann
60
1989
Un algorithme rapide pour le calcul de transformées de Legendre-Fenchel discrètes. (A fast algorithm for the computation of the discrete Legendre-Fenchel transform). Zbl 0667.65006
Brenier, Yann
17
1989
A combinatorial algorithm for the Euler equations of incompressible flows. Zbl 0687.76016
Brenier, Yann
5
1989
The discrete one-sided Lipschitz condition for convex scalar conversation laws. Zbl 0637.65090
Brenier, Yann; Osher, Stanley
16
1988
Décomposition polaire et réarrangement monotone des champs de vecteurs. (Polar decomposition and increasing rearrangement of vector fields). Zbl 0652.26017
Brenier, Yann
121
1987
Approximate Riemann solvers and numerical flux functions. Zbl 0597.65071
Brenier, Yann; Osher, Stanley
3
1986
Averaged multivalued solutions for scalar conservation laws. Zbl 0565.65054
Brenier, Yann
55
1984
Résolution d’équations d’évolution quasilinéaires en dimension N d’espace à l’aide d’équations linéaires en dimension \(N+1\). Zbl 0549.35055
Brenier, Yann
33
1983
Méthode de transport-écoulement par deplacement de lignes de niveau appliquée aux écoulements en milieu poreux. Zbl 0544.76100
Brenier, Yann
1
1982
Une application de la symetrisation de Steiner aux équations hyperboliques: la méthode de transport et ecroulement. Zbl 0459.35006
Brenier, Yann
9
1981
all top 5

Cited by 1,945 Authors

35 Brenier, Yann
30 Santambrogio, Filippo
27 Carlier, Guillaume
26 Carrillo de la Plata, José Antonio
26 Li, Wuchen
24 Figalli, Alessio
22 Wang, Shu
20 McCann, Robert J.
17 Gangbo, Wilfrid
16 Yang, Jianwei
15 Benamou, Jean-David
15 Ghoussoub, Nassif A.
15 Kim, Young-Heon
15 Osher, Stanley Joel
14 Ambrosio, Luigi
14 Degond, Pierre
14 Loeper, Grégoire
13 Guo, Lihui
13 Peng, Yuejun
13 Yang, Hanchun
12 Liu, Hailiang
12 Natalini, Roberto
12 Savaré, Giuseppe
12 Tudorascu, Adrian
12 Zhang, Yanyan
12 Zhang, Yu
11 Berthelin, Florent
11 Chen, Yongxin
11 Han-Kwan, Daniel
11 Li, Fucai
11 Schmitzer, Bernhard
10 Cardaliaguet, Pierre
10 Feireisl, Eduard
10 Georgiou, Tryphon T.
10 Jabin, Pierre-Emmanuel
10 Monsaingeon, Léonard
10 Pass, Brendan W.
10 Perthame, Benoît
10 Shao, Zhiqiang
10 Titi, Edriss Saleh
10 Vasseur, Alexis F.
10 Vorotnikov, Dmitry A.
9 Agueh, Martial
9 Gallouët, Thomas O.
9 Maas, Jan
9 Nedeljkov, Marko
9 Shen, Chun
9 Tchelepi, Hamdi A.
9 Wiedemann, Emil
8 Cancès, Clément
8 Gosse, Laurent
8 Kolesnikov, Alexander V.
8 Liu, Jianguo
8 Mérigot, Quentin
8 Mielke, Alexander
8 Nguyen, Truyen Van
8 Peyré, Gabriel
8 Puel, Marjolaine
8 Sun, Meina
8 Tzavaras, Athanasios E.
8 Vialard, François-Xavier
8 Wang, Jinhuan
8 Wolansky, Gershon
7 Budd, Christopher John
7 Choi, Young-Pil
7 De Philippis, Guido
7 Erbar, Matthias
7 Gigli, Nicola
7 Gwiazda, Piotr
7 Jin, Shi
7 Kitagawa, Jun
7 Lee, Paul W. Y.
7 Léonard, Christian
7 Li, Tong
7 Liu, Jiakun
7 Matthes, Daniel
7 Navoret, Laurent
7 Peletier, Mark Adriaan
7 Perrin, Charlotte
7 Pratelli, Aldo
7 Rousset, Frédéric
7 Seis, Christian
7 Tadmor, Eitan
7 Wang, Xu-Jia
7 Wang, Zhen
7 Yin, Gan
7 Zhou, Hao-Min
6 Bellomo, Nicola
6 Berman, Robert J.
6 Besse, Nicolas
6 Blanchet, Adrien
6 Carlen, Eric Anders
6 Cheng, Hongjun
6 Conforti, Giovanni
6 Cullen, Michael John Priestley
6 Di Francesco, Marco
6 Fang, Shizan
6 Goudon, Thierry
6 Hynd, Ryan
6 Iacobelli, Mikaela
...and 1,845 more Authors
all top 5

Cited in 317 Serials

84 Archive for Rational Mechanics and Analysis
69 Journal of Computational Physics
65 Calculus of Variations and Partial Differential Equations
63 Journal of Differential Equations
45 SIAM Journal on Mathematical Analysis
44 Journal of Mathematical Analysis and Applications
40 Journal of Functional Analysis
36 Journal of Mathematical Physics
35 Communications in Partial Differential Equations
33 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
28 Discrete and Continuous Dynamical Systems
26 Journal de Mathématiques Pures et Appliquées. Neuvième Série
24 Communications in Mathematical Physics
24 Journal of Hyperbolic Differential Equations
23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
22 Proceedings of the American Mathematical Society
22 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
22 Journal of Scientific Computing
19 Mathematics of Computation
19 Numerische Mathematik
18 ZAMP. Zeitschrift für angewandte Mathematik und Physik
18 Advances in Mathematics
18 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
17 Journal of Statistical Physics
17 SIAM Journal on Scientific Computing
16 Physica D
14 Journal of Computational and Applied Mathematics
14 Acta Applicandae Mathematicae
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Applied Mathematics and Optimization
13 Probability Theory and Related Fields
13 Applied Mathematics Letters
13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
12 Communications on Pure and Applied Mathematics
12 The Journal of Geometric Analysis
12 Computational Geosciences
12 Nonlinear Analysis. Real World Applications
12 Kinetic and Related Models
11 Computer Methods in Applied Mechanics and Engineering
11 Transactions of the American Mathematical Society
11 Journal of Mathematical Fluid Mechanics
10 The Annals of Probability
10 Journal of Optimization Theory and Applications
10 SIAM Journal on Imaging Sciences
9 Applicable Analysis
9 Quarterly of Applied Mathematics
9 SIAM Journal on Control and Optimization
9 SIAM Journal on Numerical Analysis
8 Inventiones Mathematicae
8 Mathematische Annalen
8 Chinese Annals of Mathematics. Series B
8 Journal of Mathematical Sciences (New York)
8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
8 Foundations of Computational Mathematics
8 Discrete and Continuous Dynamical Systems. Series B
8 Communications on Pure and Applied Analysis
8 Advances in Calculus of Variations
8 Science China. Mathematics
8 Information Geometry
7 European Journal of Applied Mathematics
7 The Annals of Applied Probability
7 Journal of Nonlinear Science
7 Bulletin des Sciences Mathématiques
7 Journal of the European Mathematical Society (JEMS)
6 Computers and Fluids
6 Journal of Fluid Mechanics
6 Journal of the American Mathematical Society
6 SIAM Journal on Applied Mathematics
6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
6 Journal of Dynamics and Differential Equations
6 Computational Optimization and Applications
6 NoDEA. Nonlinear Differential Equations and Applications
6 Advances in Computational Mathematics
6 Bernoulli
6 Acta Mathematica Scientia. Series B. (English Edition)
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Annals of PDE
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 The Annals of Statistics
5 Manuscripta Mathematica
5 Geometric and Functional Analysis. GAFA
5 Stochastic Processes and their Applications
5 Bulletin of the American Mathematical Society. New Series
5 Journal of Mathematical Imaging and Vision
5 Multiscale Modeling & Simulation
5 Networks and Heterogeneous Media
5 Analysis & PDE
5 Advances in Mathematical Physics
5 SIAM/ASA Journal on Uncertainty Quantification
5 Journal de l’École Polytechnique – Mathématiques
5 Séminaire Laurent Schwartz. EDP et Applications
4 Computers & Mathematics with Applications
4 Automatica
4 Journal of Multivariate Analysis
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 Potential Analysis
4 Economic Theory
4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Acta Numerica
...and 217 more Serials
all top 5

Cited in 52 Fields

1,090 Partial differential equations (35-XX)
521 Fluid mechanics (76-XX)
485 Calculus of variations and optimal control; optimization (49-XX)
326 Numerical analysis (65-XX)
210 Probability theory and stochastic processes (60-XX)
150 Statistical mechanics, structure of matter (82-XX)
112 Operations research, mathematical programming (90-XX)
108 Differential geometry (53-XX)
100 Global analysis, analysis on manifolds (58-XX)
74 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
72 Measure and integration (28-XX)
70 Functional analysis (46-XX)
67 Dynamical systems and ergodic theory (37-XX)
55 Statistics (62-XX)
54 Biology and other natural sciences (92-XX)
51 Geophysics (86-XX)
46 Optics, electromagnetic theory (78-XX)
43 Operator theory (47-XX)
43 Computer science (68-XX)
39 Mechanics of deformable solids (74-XX)
39 Systems theory; control (93-XX)
38 Real functions (26-XX)
36 Quantum theory (81-XX)
29 Information and communication theory, circuits (94-XX)
27 Convex and discrete geometry (52-XX)
26 Mechanics of particles and systems (70-XX)
22 Ordinary differential equations (34-XX)
18 Relativity and gravitational theory (83-XX)
15 Integral equations (45-XX)
14 Classical thermodynamics, heat transfer (80-XX)
10 Combinatorics (05-XX)
10 Astronomy and astrophysics (85-XX)
9 Difference and functional equations (39-XX)
7 General and overarching topics; collections (00-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Several complex variables and analytic spaces (32-XX)
5 Algebraic geometry (14-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Potential theory (31-XX)
3 History and biography (01-XX)
3 Number theory (11-XX)
3 Topological groups, Lie groups (22-XX)
3 Approximations and expansions (41-XX)
3 General topology (54-XX)
2 Functions of a complex variable (30-XX)
2 Abstract harmonic analysis (43-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Integral transforms, operational calculus (44-XX)

Citations by Year

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