## Brenier, Yann

Compute Distance To:
 Author ID: 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 1,523 Co-Co-Authors
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### Co-Authors

 71 single-authored 7 Benamou, Jean-David 4 Puel, Marjolaine 3 Corrias, Lucilla 2 Ambrosio, Luigi 2 Cottet, Georges-Henri 2 Duan, Xianglong 2 Gangbo, Wilfrid 2 Grenier, Emmanuel 2 Guittet, Kevin 2 Loeper, Grégoire 2 Mauser, Norbert Julius 2 Natalini, Roberto 2 Osher, Stanley Joel 1 Baradat, Aymeric 1 Berthelin, Florent 1 Bertrand, Pierre 1 Besse, Nicolas 1 Bolley, François 1 Bouchut, François 1 Buttazzo, Giuseppe 1 Caffarelli, Luis Ángel 1 Cortes, Julien 1 Cullen, Mike 1 De Lellis, Camillo 1 Jaffré, Jérôme 1 Kenyon, Richard W. 1 Kontsevich, Maxim Lvovich 1 Levy, Doron 1 Otto, Felix 1 Ripoll, J. F. 1 Roesch, Michel 1 Salsa, Sandro 1 Savaré, Giuseppe 1 Seis, Christian 1 Székelyhidi, László jun. 1 Villani, Cédric 1 Vorotnikov, Dmitry A. 1 Westdickenberg, Michael 1 Yong, Wen-An
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
all top 5

### Fields

 80 Partial differential equations (35-XX) 53 Fluid mechanics (76-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 18 Statistical mechanics, structure of matter (82-XX) 15 Numerical analysis (65-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Optics, electromagnetic theory (78-XX) 5 Geophysics (86-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Quantum theory (81-XX) 4 Relativity and gravitational theory (83-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

81 Publications have been cited 2,515 times in 1,814 Documents Cited by Year
Polar factorization and monotone rearrangement of vector-valued functions. Zbl 0738.46011
Brenier, Yann
1991
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Zbl 0968.76069
Benamou, Jean-David; Brenier, Yann
2000
Sticky particles and scalar conservation laws. Zbl 0924.35080
Brenier, Yann; Grenier, Emmanuel
1998
Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110
Brenier, Y.
2000
Décomposition polaire et réarrangement monotone des champs de vecteurs. (Polar decomposition and increasing rearrangement of vector fields). Zbl 0652.26017
Brenier, Yann
1987
Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations. Zbl 1085.35097
Brenier, Y.
2005
Weak-strong uniqueness for measure-valued solutions. Zbl 1219.35182
Brenier, Yann; De Lellis, Camillo; Székelyhidi, László jun.
2011
The least action principle and the related concept of generalized flows for incompressible perfect fluids. Zbl 0697.76030
Brenier, Yann
1989
Averaged multivalued solutions for scalar conservation laws. Zbl 0565.65054
Brenier, Yann
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
2003
Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations. Zbl 0910.35098
Brenier, Yann
1999
Extended Monge-Kantorovich theory. Zbl 1064.49036
Brenier, Yann
2003
A kinetic formulation for multi-branch entropy solutions of scalar conservation laws. Zbl 0893.35068
Brenier, Y.; Corrias, L.
1998
Homogeneous hydrostatic flows with convex velocity profiles. Zbl 0984.35131
Brenier, Yann
1999
Weak existence for the semigeostrophic equations formulated as a coupled Monge–Ampère/transport problem. Zbl 0915.35024
Benamou, J.-D.; Brenier, Y.
1998
Upstream differencing for multiphase flow in reservoir simulation. Zbl 0735.76071
Brenier, Yann; Jaffré, Jérôme
1991
Hydrodynamic structure of the augmented Born-Infeld equations. Zbl 1055.78003
Brenier, Yann
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
1983
The dual least action problem for an ideal, incompressible fluid. Zbl 0797.76006
Brenier, Y.
1993
Sticky particle dynamics with interactions. Zbl 1282.35236
Brenier, Y.; Gangbo, W.; Savaré, G.; Westdickenberg, M.
2013
A hierarchy of models for two-phase flows. Zbl 0998.76088
Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F.
2000
On a relaxation approximation of the incompressible Navier-Stokes equations. Zbl 1080.35064
Brenier, Yann; Natalini, Roberto; Puel, Marjolaine
2004
Remarks on the derivation of the hydrostatic Euler equations. Zbl 1040.35068
Brenier, Yann
2003
Incompressible Euler and e-MHD as scaling limits of the Vlasov/Maxwell system. Zbl 1089.35048
Brenier, Yann; Mauser, Norbert; Puel, Marjolaine
2003
Contractive metrics for scalar conservation laws. Zbl 1071.35081
Bolley, François; Brenier, Yann; Loeper, Grégoire
2005
The Monge-Kantorovitch mass transfer and its computational fluid mechanics formulation. Zbl 1058.76586
Benamou, J.-D.; Brenier, Y.; Guittet, K.
2002
Optimal transport, convection, magnetic relaxation and generalized Boussinesq equations. Zbl 1177.49064
Brenier, Yann
2009
Generalized solutions and hydrostatic approximation of the Euler equations. Zbl 1143.76386
Brenier, Yann
2008
A homogenized model for vortex sheets. Zbl 0962.35140
Brenier, Yann
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
1989
$$L^{2}$$ formulation of multidimensional scalar conservation laws. Zbl 1180.35346
Brenier, Yann
2009
The discrete one-sided Lipschitz condition for convex scalar conversation laws. Zbl 0637.65090
Brenier, Yann; Osher, Stanley
1988
A numerical method for the optimal time-continuous mass transport problem and related problems. Zbl 0916.65068
Benamou, Jean-David; Brenier, Yann
1999
Derivation of particle, string, and membrane motions from the born-infeld electromagnetism. Zbl 1110.78004
Brenier, Yann; Yong, Wen-An
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
1994
Mixed $$L^2$$-Wasserstein optimal mapping between prescribed density functions. Zbl 1010.49029
Benamou, J. D.; Brenier, Y.
2001
The multi-water-bag equations for collisionless kinetic modeling. Zbl 1185.35292
Besse, Nicolas; Berthelin, Florent; Brenier, Yann; Bertrand, Pierre
2009
Upper bounds on coarsening rates in demixing binary viscous liquids. Zbl 1226.82045
Brenier, Yann; Otto, Felix; Seis, Christian
2011
Topology-preserving diffusion of divergence-free vector fields and magnetic relaxation. Zbl 1294.35077
Brenier, Yann
2014
Some geometric PDEs related to hydrodynamics and electrodynamics. Zbl 1136.37355
Brenier, Yann
2002
A geometric approximation to the Euler equations: the Vlasov-Monge-Ampère system. Zbl 1075.35046
Brenier, Y.; Loeper, G.
2004
Derivation of the Euler equations from a caricature of Coulomb interaction. Zbl 1025.82012
Brenier, Yann
2000
Une application de la symetrisation de Steiner aux équations hyperboliques: la méthode de transport et ecroulement. Zbl 0459.35006
Brenier, Yann
1981
$$L^p$$ approximation of maps by diffeomorphisms. Zbl 1055.26008
Brenier, Yann; Gangbo, Wilfrid
2003
Numerical analysis of a multi-phasic mass transport problem. Zbl 1135.49025
Benamou, Jean-David; Brenier, Yann; Guittet, Kevin
2004
Topics on hydrodynamics and volume preserving maps. Zbl 1183.37140
Brenier, Yann
2003
On optimal transport of matrix-valued measures. Zbl 1460.49036
Brenier, Yann; Vorotnikov, Dmitry
2020
The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem. Zbl 1410.35102
Brenier, Yann
2018
Remarks on some linear hyperbolic equations with oscillatory coefficients. Zbl 0768.35057
Brenier, Yann
1991
Relaxation limits for a class of balance laws with kinetic formulation. Zbl 0933.35128
Brenier, Yann; Corrias, Lucilla; Natalini, Roberto
1998
A combinatorial algorithm for the Euler equations of incompressible flows. Zbl 0687.76016
Brenier, Yann
1989
Order preserving vibrating strings and applications to electrodynamics and magnetohydrodynamics. Zbl 1107.74028
Brenier, Yann
2004
Rigorous derivation of the $$x-z$$ semigeostrophic equations. Zbl 1178.35299
Brenier, Yann; Cullen, Mike
2009
From conservative to dissipative systems through quadratic change of time, with application to the curve-shortening flow. Zbl 1387.35475
Brenier, Yann; Duan, Xianglong
2018
Rearrangement, convection, convexity and entropy. Zbl 1292.35226
Brenier, Yann
2013
A note on deformations of 2D fluid motions using 3D Born-Infeld equations. Zbl 1063.35130
Brenier, Yann
2004
On the hydrostatic and darcy limits of the convective Navier-Stokes equations. Zbl 1177.86005
Brenier, Yann
2009
Connections between optimal transport, combinatorial optimization and hydrodynamics. Zbl 1335.49075
Brenier, Yann
2015
Convergence of particle methods with random rezoning for the two- dimensional Euler and Navier-Stokes equations. Zbl 0832.76065
Brenier, Y.; Cottet, G.-H.
1995
Dissipative behavior of some fully nonlinear KdV-type equations. Zbl 0945.35076
Brenier, Yann; Levy, Doron
2000
A modified least action principle allowing mass concentrations for the early universe reconstruction problem. Zbl 1229.83073
Brenier, Yann
2011
Hilbertian approaches to some nonlinear conservation laws. Zbl 1223.35002
Brenier, Yann
2010
Non relativistic strings may be approximated by relativistic strings. Zbl 1110.35094
Brenier, Yann
2005
Remarks on the minimizing geodesic problem in inviscid incompressible fluid mechanics. Zbl 1282.35291
Brenier, Yann
2013
Approximate Riemann solvers and numerical flux functions. Zbl 0597.65071
Brenier, Yann; Osher, Stanley
1986
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
1990
Optimal multiphase transportation with prescribed momentum. Zbl 1091.49034
Brenier, Yann; Puel, Marjolaine
2002
Hidden convexity in some nonlinear PDEs from geomety and physics. Zbl 1206.35099
Brenier, Y.
2010
Geometric origin and some properties of the arctangential heat equation. Zbl 1410.35081
Brenier, Yann
2019
An integrable example of gradient flow based on optimal transport of differential forms. Zbl 1401.49067
Brenier, Yann; Duan, Xianglong
2018
On the motion of an ideal incompressible fluid. Zbl 0810.35082
Brenier, Yann
1994
Optimal transportation of particles, fluids and currents. Zbl 1415.49029
Brenier, Yann
2015
A domain decomposition method for the polar factorization of vector fields. Zbl 0797.65006
Benamou, J.-D.; Brenier, Y.
1994
Extension of the Monge-Kantorovich theory to classical electrodynamics. Zbl 1357.49155
Brenier, Yann
2004
Approximation of a simple Navier-Stokes model by monotonic rearrangement. Zbl 1286.35203
Brenier, Yann
2014
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
2002
Moment equations and entropy conditions for kinetic models. (Équations de moment et conditions d’entropie pour des modèles cinétiques.) Zbl 0874.35070
Brenier, Y.
1995
Some conservation laws given by kinetic models. (Quelques lois de conservations issues de modèles cinétiques.) Zbl 0873.35065
Brenier, Yann
1995
Some concepts of generalized and approximate solutions in ideal incompressible fluid mechanics related to the least action principle. Zbl 1418.35301
Brenier, Yann
2018
Méthode de transport-écoulement par deplacement de lignes de niveau appliquée aux écoulements en milieu poreux. Zbl 0544.76100
Brenier, Yann
1982
The initial value problem for the Euler equations of fluids viewed as a concave maximization problem. Zbl 1397.35189
Brenier, Yann
2018
On optimal transport of matrix-valued measures. Zbl 1460.49036
Brenier, Yann; Vorotnikov, Dmitry
2020
Geometric origin and some properties of the arctangential heat equation. Zbl 1410.35081
Brenier, Yann
2019
The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem. Zbl 1410.35102
Brenier, Yann
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
2018
An integrable example of gradient flow based on optimal transport of differential forms. Zbl 1401.49067
Brenier, Yann; Duan, Xianglong
2018
Some concepts of generalized and approximate solutions in ideal incompressible fluid mechanics related to the least action principle. Zbl 1418.35301
Brenier, Yann
2018
The initial value problem for the Euler equations of fluids viewed as a concave maximization problem. Zbl 1397.35189
Brenier, Yann
2018
Connections between optimal transport, combinatorial optimization and hydrodynamics. Zbl 1335.49075
Brenier, Yann
2015
Optimal transportation of particles, fluids and currents. Zbl 1415.49029
Brenier, Yann
2015
Topology-preserving diffusion of divergence-free vector fields and magnetic relaxation. Zbl 1294.35077
Brenier, Yann
2014
Approximation of a simple Navier-Stokes model by monotonic rearrangement. Zbl 1286.35203
Brenier, Yann
2014
Sticky particle dynamics with interactions. Zbl 1282.35236
Brenier, Y.; Gangbo, W.; Savaré, G.; Westdickenberg, M.
2013
Rearrangement, convection, convexity and entropy. Zbl 1292.35226
Brenier, Yann
2013
Remarks on the minimizing geodesic problem in inviscid incompressible fluid mechanics. Zbl 1282.35291
Brenier, Yann
2013
Weak-strong uniqueness for measure-valued solutions. Zbl 1219.35182
Brenier, Yann; De Lellis, Camillo; Székelyhidi, László jun.
2011
Upper bounds on coarsening rates in demixing binary viscous liquids. Zbl 1226.82045
Brenier, Yann; Otto, Felix; Seis, Christian
2011
A modified least action principle allowing mass concentrations for the early universe reconstruction problem. Zbl 1229.83073
Brenier, Yann
2011
Hilbertian approaches to some nonlinear conservation laws. Zbl 1223.35002
Brenier, Yann
2010
Hidden convexity in some nonlinear PDEs from geomety and physics. Zbl 1206.35099
Brenier, Y.
2010
Optimal transport, convection, magnetic relaxation and generalized Boussinesq equations. Zbl 1177.49064
Brenier, Yann
2009
$$L^{2}$$ formulation of multidimensional scalar conservation laws. Zbl 1180.35346
Brenier, Yann
2009
The multi-water-bag equations for collisionless kinetic modeling. Zbl 1185.35292
Besse, Nicolas; Berthelin, Florent; Brenier, Yann; Bertrand, Pierre
2009
Rigorous derivation of the $$x-z$$ semigeostrophic equations. Zbl 1178.35299
Brenier, Yann; Cullen, Mike
2009
On the hydrostatic and darcy limits of the convective Navier-Stokes equations. Zbl 1177.86005
Brenier, Yann
2009
Generalized solutions and hydrostatic approximation of the Euler equations. Zbl 1143.76386
Brenier, Yann
2008
Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations. Zbl 1085.35097
Brenier, Y.
2005
Contractive metrics for scalar conservation laws. Zbl 1071.35081
Bolley, François; Brenier, Yann; Loeper, Grégoire
2005
Derivation of particle, string, and membrane motions from the born-infeld electromagnetism. Zbl 1110.78004
Brenier, Yann; Yong, Wen-An
2005
Non relativistic strings may be approximated by relativistic strings. Zbl 1110.35094
Brenier, Yann
2005
Hydrodynamic structure of the augmented Born-Infeld equations. Zbl 1055.78003
Brenier, Yann
2004
On a relaxation approximation of the incompressible Navier-Stokes equations. Zbl 1080.35064
Brenier, Yann; Natalini, Roberto; Puel, Marjolaine
2004
A geometric approximation to the Euler equations: the Vlasov-Monge-Ampère system. Zbl 1075.35046
Brenier, Y.; Loeper, G.
2004
Numerical analysis of a multi-phasic mass transport problem. Zbl 1135.49025
Benamou, Jean-David; Brenier, Yann; Guittet, Kevin
2004
Order preserving vibrating strings and applications to electrodynamics and magnetohydrodynamics. Zbl 1107.74028
Brenier, Yann
2004
A note on deformations of 2D fluid motions using 3D Born-Infeld equations. Zbl 1063.35130
Brenier, Yann
2004
Extension of the Monge-Kantorovich theory to classical electrodynamics. Zbl 1357.49155
Brenier, Yann
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
2003
Extended Monge-Kantorovich theory. Zbl 1064.49036
Brenier, Yann
2003
Remarks on the derivation of the hydrostatic Euler equations. Zbl 1040.35068
Brenier, Yann
2003
Incompressible Euler and e-MHD as scaling limits of the Vlasov/Maxwell system. Zbl 1089.35048
Brenier, Yann; Mauser, Norbert; Puel, Marjolaine
2003
$$L^p$$ approximation of maps by diffeomorphisms. Zbl 1055.26008
Brenier, Yann; Gangbo, Wilfrid
2003
Topics on hydrodynamics and volume preserving maps. Zbl 1183.37140
Brenier, Yann
2003
The Monge-Kantorovitch mass transfer and its computational fluid mechanics formulation. Zbl 1058.76586
Benamou, J.-D.; Brenier, Y.; Guittet, K.
2002
Some geometric PDEs related to hydrodynamics and electrodynamics. Zbl 1136.37355
Brenier, Yann
2002
Optimal multiphase transportation with prescribed momentum. Zbl 1091.49034
Brenier, Yann; Puel, Marjolaine
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
2002
Mixed $$L^2$$-Wasserstein optimal mapping between prescribed density functions. Zbl 1010.49029
Benamou, J. D.; Brenier, Y.
2001
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Zbl 0968.76069
Benamou, Jean-David; Brenier, Yann
2000
Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110
Brenier, Y.
2000
A hierarchy of models for two-phase flows. Zbl 0998.76088
Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F.
2000
Derivation of the Euler equations from a caricature of Coulomb interaction. Zbl 1025.82012
Brenier, Yann
2000
Dissipative behavior of some fully nonlinear KdV-type equations. Zbl 0945.35076
Brenier, Yann; Levy, Doron
2000
Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations. Zbl 0910.35098
Brenier, Yann
1999
Homogeneous hydrostatic flows with convex velocity profiles. Zbl 0984.35131
Brenier, Yann
1999
A numerical method for the optimal time-continuous mass transport problem and related problems. Zbl 0916.65068
Benamou, Jean-David; Brenier, Yann
1999
Sticky particles and scalar conservation laws. Zbl 0924.35080
Brenier, Yann; Grenier, Emmanuel
1998
A kinetic formulation for multi-branch entropy solutions of scalar conservation laws. Zbl 0893.35068
Brenier, Y.; Corrias, L.
1998
Weak existence for the semigeostrophic equations formulated as a coupled Monge–Ampère/transport problem. Zbl 0915.35024
Benamou, J.-D.; Brenier, Y.
1998
Relaxation limits for a class of balance laws with kinetic formulation. Zbl 0933.35128
Brenier, Yann; Corrias, Lucilla; Natalini, Roberto
1998
A homogenized model for vortex sheets. Zbl 0962.35140
Brenier, Yann
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.
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.
1995
Some conservation laws given by kinetic models. (Quelques lois de conservations issues de modèles cinétiques.) Zbl 0873.35065
Brenier, Yann
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
1994
On the motion of an ideal incompressible fluid. Zbl 0810.35082
Brenier, Yann
1994
A domain decomposition method for the polar factorization of vector fields. Zbl 0797.65006
Benamou, J.-D.; Brenier, Y.
1994
The dual least action problem for an ideal, incompressible fluid. Zbl 0797.76006
Brenier, Y.
1993
Polar factorization and monotone rearrangement of vector-valued functions. Zbl 0738.46011
Brenier, Yann
1991
Upstream differencing for multiphase flow in reservoir simulation. Zbl 0735.76071
Brenier, Yann; Jaffré, Jérôme
1991
Remarks on some linear hyperbolic equations with oscillatory coefficients. Zbl 0768.35057
Brenier, Yann
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
1990
The least action principle and the related concept of generalized flows for incompressible perfect fluids. Zbl 0697.76030
Brenier, Yann
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
1989
A combinatorial algorithm for the Euler equations of incompressible flows. Zbl 0687.76016
Brenier, Yann
1989
The discrete one-sided Lipschitz condition for convex scalar conversation laws. Zbl 0637.65090
Brenier, Yann; Osher, Stanley
1988
Décomposition polaire et réarrangement monotone des champs de vecteurs. (Polar decomposition and increasing rearrangement of vector fields). Zbl 0652.26017
Brenier, Yann
1987
Approximate Riemann solvers and numerical flux functions. Zbl 0597.65071
Brenier, Yann; Osher, Stanley
1986
Averaged multivalued solutions for scalar conservation laws. Zbl 0565.65054
Brenier, Yann
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
1983
Méthode de transport-écoulement par deplacement de lignes de niveau appliquée aux écoulements en milieu poreux. Zbl 0544.76100
Brenier, Yann
1982
Une application de la symetrisation de Steiner aux équations hyperboliques: la méthode de transport et ecroulement. Zbl 0459.35006
Brenier, Yann
1981
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### Cited by 1,960 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. 10 Wiedemann, Emil 9 Agueh, Martial 9 Gallouët, Thomas O. 9 Liu, Jianguo 9 Maas, Jan 9 Nedeljkov, Marko 9 Shen, Chun 9 Tchelepi, Hamdi A. 8 Cancès, Clément 8 Gosse, Laurent 8 Jin, Shi 8 Kolesnikov, Alexander V. 8 Mérigot, Quentin 8 Mielke, Alexander 8 Nguyen, Truyen Van 8 Peyré, Gabriel 8 Puel, Marjolaine 8 Seis, Christian 8 Sun, Meina 8 Tzavaras, Athanasios E. 8 Vialard, François-Xavier 8 Wang, Jinhuan 8 Wang, Zhen 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 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 Tadmor, Eitan 7 Wang, Xu-Jia 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 1,860 more Authors
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### Cited in 320 Serials

 85 Archive for Rational Mechanics and Analysis 69 Journal of Computational Physics 65 Calculus of Variations and Partial Differential Equations 64 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 15 Applied Mathematics Letters 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 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 9 Bernoulli 9 Advances in Calculus of Variations 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 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 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 220 more Serials
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### Cited in 53 Fields

 1,099 Partial differential equations (35-XX) 529 Fluid mechanics (76-XX) 487 Calculus of variations and optimal control; optimization (49-XX) 327 Numerical analysis (65-XX) 212 Probability theory and stochastic processes (60-XX) 150 Statistical mechanics, structure of matter (82-XX) 114 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) 71 Measure and integration (28-XX) 70 Functional analysis (46-XX) 67 Dynamical systems and ergodic theory (37-XX) 57 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) 40 Mechanics of deformable solids (74-XX) 39 Real functions (26-XX) 39 Systems theory; control (93-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) 6 Algebraic geometry (14-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Number theory (11-XX) 4 Potential theory (31-XX) 4 Approximations and expansions (41-XX) 3 History and biography (01-XX) 3 Topological groups, Lie groups (22-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 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX)

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