Edit Profile (opens in new tab) Brenier, Yann Compute Distance To: Compute 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0738.46011Brenier, Yann 478 1991 A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Zbl 0968.76069Benamou, Jean-David; Brenier, Yann 429 2000 Sticky particles and scalar conservation laws. Zbl 0924.35080Brenier, Yann; Grenier, Emmanuel 158 1998 Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110Brenier, Y. 133 2000 Décomposition polaire et réarrangement monotone des champs de vecteurs. (Polar decomposition and increasing rearrangement of vector fields). Zbl 0652.26017Brenier, Yann 122 1987 Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations. Zbl 1085.35097Brenier, Y. 77 2005 Weak-strong uniqueness for measure-valued solutions. Zbl 1219.35182Brenier, Yann; De Lellis, Camillo; Székelyhidi, László jun. 64 2011 The least action principle and the related concept of generalized flows for incompressible perfect fluids. Zbl 0697.76030Brenier, Yann 60 1989 Averaged multivalued solutions for scalar conservation laws. Zbl 0565.65054Brenier, 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 1013.00028Ambrosio, 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 0910.35098Brenier, Yann 48 1999 Extended Monge-Kantorovich theory. Zbl 1064.49036Brenier, Yann 47 2003 A kinetic formulation for multi-branch entropy solutions of scalar conservation laws. Zbl 0893.35068Brenier, Y.; Corrias, L. 46 1998 Homogeneous hydrostatic flows with convex velocity profiles. Zbl 0984.35131Brenier, Yann 40 1999 Weak existence for the semigeostrophic equations formulated as a coupled Monge–Ampère/transport problem. Zbl 0915.35024Benamou, J.-D.; Brenier, Y. 39 1998 Upstream differencing for multiphase flow in reservoir simulation. Zbl 0735.76071Brenier, Yann; Jaffré, Jérôme 38 1991 Hydrodynamic structure of the augmented Born-Infeld equations. Zbl 1055.78003Brenier, 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 0549.35055Brenier, Yann 33 1983 The dual least action problem for an ideal, incompressible fluid. Zbl 0797.76006Brenier, Y. 29 1993 Sticky particle dynamics with interactions. Zbl 1282.35236Brenier, Y.; Gangbo, W.; Savaré, G.; Westdickenberg, M. 29 2013 A hierarchy of models for two-phase flows. Zbl 0998.76088Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F. 27 2000 On a relaxation approximation of the incompressible Navier-Stokes equations. Zbl 1080.35064Brenier, Yann; Natalini, Roberto; Puel, Marjolaine 25 2004 Remarks on the derivation of the hydrostatic Euler equations. Zbl 1040.35068Brenier, Yann 24 2003 Incompressible Euler and e-MHD as scaling limits of the Vlasov/Maxwell system. Zbl 1089.35048Brenier, Yann; Mauser, Norbert; Puel, Marjolaine 21 2003 Contractive metrics for scalar conservation laws. Zbl 1071.35081Bolley, François; Brenier, Yann; Loeper, Grégoire 20 2005 The Monge-Kantorovitch mass transfer and its computational fluid mechanics formulation. Zbl 1058.76586Benamou, J.-D.; Brenier, Y.; Guittet, K. 19 2002 Optimal transport, convection, magnetic relaxation and generalized Boussinesq equations. Zbl 1177.49064Brenier, Yann 19 2009 Generalized solutions and hydrostatic approximation of the Euler equations. Zbl 1143.76386Brenier, Yann 19 2008 A homogenized model for vortex sheets. Zbl 0962.35140Brenier, 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 0667.65006Brenier, Yann 17 1989 \(L^{2}\) formulation of multidimensional scalar conservation laws. Zbl 1180.35346Brenier, Yann 17 2009 The discrete one-sided Lipschitz condition for convex scalar conversation laws. Zbl 0637.65090Brenier, Yann; Osher, Stanley 16 1988 A numerical method for the optimal time-continuous mass transport problem and related problems. Zbl 0916.65068Benamou, Jean-David; Brenier, Yann 16 1999 Derivation of particle, string, and membrane motions from the born-infeld electromagnetism. Zbl 1110.78004Brenier, 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 0803.35110Brenier, Yann; Grenier, Emmanuel 14 1994 Mixed \(L^2\)-Wasserstein optimal mapping between prescribed density functions. Zbl 1010.49029Benamou, J. D.; Brenier, Y. 13 2001 The multi-water-bag equations for collisionless kinetic modeling. Zbl 1185.35292Besse, Nicolas; Berthelin, Florent; Brenier, Yann; Bertrand, Pierre 13 2009 Upper bounds on coarsening rates in demixing binary viscous liquids. Zbl 1226.82045Brenier, Yann; Otto, Felix; Seis, Christian 12 2011 Topology-preserving diffusion of divergence-free vector fields and magnetic relaxation. Zbl 1294.35077Brenier, Yann 11 2014 Some geometric PDEs related to hydrodynamics and electrodynamics. Zbl 1136.37355Brenier, Yann 11 2002 A geometric approximation to the Euler equations: the Vlasov-Monge-Ampère system. Zbl 1075.35046Brenier, Y.; Loeper, G. 11 2004 Derivation of the Euler equations from a caricature of Coulomb interaction. Zbl 1025.82012Brenier, Yann 10 2000 Une application de la symetrisation de Steiner aux équations hyperboliques: la méthode de transport et ecroulement. Zbl 0459.35006Brenier, Yann 9 1981 \(L^p\) approximation of maps by diffeomorphisms. Zbl 1055.26008Brenier, Yann; Gangbo, Wilfrid 7 2003 Numerical analysis of a multi-phasic mass transport problem. Zbl 1135.49025Benamou, Jean-David; Brenier, Yann; Guittet, Kevin 7 2004 Topics on hydrodynamics and volume preserving maps. Zbl 1183.37140Brenier, Yann 7 2003 On optimal transport of matrix-valued measures. Zbl 1460.49036Brenier, Yann; Vorotnikov, Dmitry 6 2020 The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem. Zbl 1410.35102Brenier, Yann 6 2018 Remarks on some linear hyperbolic equations with oscillatory coefficients. Zbl 0768.35057Brenier, Yann 5 1991 Relaxation limits for a class of balance laws with kinetic formulation. Zbl 0933.35128Brenier, Yann; Corrias, Lucilla; Natalini, Roberto 5 1998 A combinatorial algorithm for the Euler equations of incompressible flows. Zbl 0687.76016Brenier, Yann 5 1989 Order preserving vibrating strings and applications to electrodynamics and magnetohydrodynamics. Zbl 1107.74028Brenier, Yann 5 2004 Rigorous derivation of the \(x-z\) semigeostrophic equations. Zbl 1178.35299Brenier, Yann; Cullen, Mike 5 2009 From conservative to dissipative systems through quadratic change of time, with application to the curve-shortening flow. Zbl 1387.35475Brenier, Yann; Duan, Xianglong 5 2018 Rearrangement, convection, convexity and entropy. Zbl 1292.35226Brenier, Yann 4 2013 A note on deformations of 2D fluid motions using 3D Born-Infeld equations. Zbl 1063.35130Brenier, Yann 4 2004 On the hydrostatic and darcy limits of the convective Navier-Stokes equations. Zbl 1177.86005Brenier, Yann 4 2009 Connections between optimal transport, combinatorial optimization and hydrodynamics. Zbl 1335.49075Brenier, Yann 4 2015 Convergence of particle methods with random rezoning for the two- dimensional Euler and Navier-Stokes equations. Zbl 0832.76065Brenier, Y.; Cottet, G.-H. 3 1995 Dissipative behavior of some fully nonlinear KdV-type equations. Zbl 0945.35076Brenier, Yann; Levy, Doron 3 2000 A modified least action principle allowing mass concentrations for the early universe reconstruction problem. Zbl 1229.83073Brenier, Yann 3 2011 Hilbertian approaches to some nonlinear conservation laws. Zbl 1223.35002Brenier, Yann 3 2010 Non relativistic strings may be approximated by relativistic strings. Zbl 1110.35094Brenier, Yann 3 2005 Remarks on the minimizing geodesic problem in inviscid incompressible fluid mechanics. Zbl 1282.35291Brenier, Yann 3 2013 Approximate Riemann solvers and numerical flux functions. Zbl 0597.65071Brenier, Yann; Osher, Stanley 3 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 0829.65113Brenier, Yann 2 1990 Optimal multiphase transportation with prescribed momentum. Zbl 1091.49034Brenier, Yann; Puel, Marjolaine 2 2002 Hidden convexity in some nonlinear PDEs from geomety and physics. Zbl 1206.35099Brenier, Y. 2 2010 Geometric origin and some properties of the arctangential heat equation. Zbl 1410.35081Brenier, Yann 2 2019 An integrable example of gradient flow based on optimal transport of differential forms. Zbl 1401.49067Brenier, Yann; Duan, Xianglong 2 2018 On the motion of an ideal incompressible fluid. Zbl 0810.35082Brenier, Yann 1 1994 Optimal transportation of particles, fluids and currents. Zbl 1415.49029Brenier, Yann 1 2015 A domain decomposition method for the polar factorization of vector fields. Zbl 0797.65006Benamou, J.-D.; Brenier, Y. 1 1994 Extension of the Monge-Kantorovich theory to classical electrodynamics. Zbl 1357.49155Brenier, Yann 1 2004 Approximation of a simple Navier-Stokes model by monotonic rearrangement. Zbl 1286.35203Brenier, Yann 1 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 0997.35056Brenier, Yann; Mauser, Norbert J.; Puel, Marjolaine 1 2002 Moment equations and entropy conditions for kinetic models. (Équations de moment et conditions d’entropie pour des modèles cinétiques.) Zbl 0874.35070Brenier, Y. 1 1995 Some conservation laws given by kinetic models. (Quelques lois de conservations issues de modèles cinétiques.) Zbl 0873.35065Brenier, Yann 1 1995 Some concepts of generalized and approximate solutions in ideal incompressible fluid mechanics related to the least action principle. Zbl 1418.35301Brenier, Yann 1 2018 Méthode de transport-écoulement par deplacement de lignes de niveau appliquée aux écoulements en milieu poreux. Zbl 0544.76100Brenier, Yann 1 1982 The initial value problem for the Euler equations of fluids viewed as a concave maximization problem. Zbl 1397.35189Brenier, Yann 1 2018 On optimal transport of matrix-valued measures. Zbl 1460.49036Brenier, Yann; Vorotnikov, Dmitry 6 2020 Geometric origin and some properties of the arctangential heat equation. Zbl 1410.35081Brenier, Yann 2 2019 The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem. Zbl 1410.35102Brenier, Yann 6 2018 From conservative to dissipative systems through quadratic change of time, with application to the curve-shortening flow. Zbl 1387.35475Brenier, Yann; Duan, Xianglong 5 2018 An integrable example of gradient flow based on optimal transport of differential forms. Zbl 1401.49067Brenier, Yann; Duan, Xianglong 2 2018 Some concepts of generalized and approximate solutions in ideal incompressible fluid mechanics related to the least action principle. Zbl 1418.35301Brenier, Yann 1 2018 The initial value problem for the Euler equations of fluids viewed as a concave maximization problem. Zbl 1397.35189Brenier, Yann 1 2018 Connections between optimal transport, combinatorial optimization and hydrodynamics. Zbl 1335.49075Brenier, Yann 4 2015 Optimal transportation of particles, fluids and currents. Zbl 1415.49029Brenier, Yann 1 2015 Topology-preserving diffusion of divergence-free vector fields and magnetic relaxation. Zbl 1294.35077Brenier, Yann 11 2014 Approximation of a simple Navier-Stokes model by monotonic rearrangement. Zbl 1286.35203Brenier, Yann 1 2014 Sticky particle dynamics with interactions. Zbl 1282.35236Brenier, Y.; Gangbo, W.; Savaré, G.; Westdickenberg, M. 29 2013 Rearrangement, convection, convexity and entropy. Zbl 1292.35226Brenier, Yann 4 2013 Remarks on the minimizing geodesic problem in inviscid incompressible fluid mechanics. Zbl 1282.35291Brenier, Yann 3 2013 Weak-strong uniqueness for measure-valued solutions. Zbl 1219.35182Brenier, Yann; De Lellis, Camillo; Székelyhidi, László jun. 64 2011 Upper bounds on coarsening rates in demixing binary viscous liquids. Zbl 1226.82045Brenier, Yann; Otto, Felix; Seis, Christian 12 2011 A modified least action principle allowing mass concentrations for the early universe reconstruction problem. Zbl 1229.83073Brenier, Yann 3 2011 Hilbertian approaches to some nonlinear conservation laws. Zbl 1223.35002Brenier, Yann 3 2010 Hidden convexity in some nonlinear PDEs from geomety and physics. Zbl 1206.35099Brenier, Y. 2 2010 Optimal transport, convection, magnetic relaxation and generalized Boussinesq equations. Zbl 1177.49064Brenier, Yann 19 2009 \(L^{2}\) formulation of multidimensional scalar conservation laws. Zbl 1180.35346Brenier, Yann 17 2009 The multi-water-bag equations for collisionless kinetic modeling. Zbl 1185.35292Besse, Nicolas; Berthelin, Florent; Brenier, Yann; Bertrand, Pierre 13 2009 Rigorous derivation of the \(x-z\) semigeostrophic equations. Zbl 1178.35299Brenier, Yann; Cullen, Mike 5 2009 On the hydrostatic and darcy limits of the convective Navier-Stokes equations. Zbl 1177.86005Brenier, Yann 4 2009 Generalized solutions and hydrostatic approximation of the Euler equations. Zbl 1143.76386Brenier, Yann 19 2008 Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations. Zbl 1085.35097Brenier, Y. 77 2005 Contractive metrics for scalar conservation laws. Zbl 1071.35081Bolley, François; Brenier, Yann; Loeper, Grégoire 20 2005 Derivation of particle, string, and membrane motions from the born-infeld electromagnetism. Zbl 1110.78004Brenier, Yann; Yong, Wen-An 15 2005 Non relativistic strings may be approximated by relativistic strings. Zbl 1110.35094Brenier, Yann 3 2005 Hydrodynamic structure of the augmented Born-Infeld equations. Zbl 1055.78003Brenier, Yann 38 2004 On a relaxation approximation of the incompressible Navier-Stokes equations. Zbl 1080.35064Brenier, Yann; Natalini, Roberto; Puel, Marjolaine 25 2004 A geometric approximation to the Euler equations: the Vlasov-Monge-Ampère system. Zbl 1075.35046Brenier, Y.; Loeper, G. 11 2004 Numerical analysis of a multi-phasic mass transport problem. Zbl 1135.49025Benamou, Jean-David; Brenier, Yann; Guittet, Kevin 7 2004 Order preserving vibrating strings and applications to electrodynamics and magnetohydrodynamics. Zbl 1107.74028Brenier, Yann 5 2004 A note on deformations of 2D fluid motions using 3D Born-Infeld equations. Zbl 1063.35130Brenier, Yann 4 2004 Extension of the Monge-Kantorovich theory to classical electrodynamics. Zbl 1357.49155Brenier, 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 1013.00028Ambrosio, Luigi; Brenier, Yann; Buttazzo, Giusseppe; Caffarelli, Luis A.; Villani, Cédric 54 2003 Extended Monge-Kantorovich theory. Zbl 1064.49036Brenier, Yann 47 2003 Remarks on the derivation of the hydrostatic Euler equations. Zbl 1040.35068Brenier, Yann 24 2003 Incompressible Euler and e-MHD as scaling limits of the Vlasov/Maxwell system. Zbl 1089.35048Brenier, Yann; Mauser, Norbert; Puel, Marjolaine 21 2003 \(L^p\) approximation of maps by diffeomorphisms. Zbl 1055.26008Brenier, Yann; Gangbo, Wilfrid 7 2003 Topics on hydrodynamics and volume preserving maps. Zbl 1183.37140Brenier, Yann 7 2003 The Monge-Kantorovitch mass transfer and its computational fluid mechanics formulation. Zbl 1058.76586Benamou, J.-D.; Brenier, Y.; Guittet, K. 19 2002 Some geometric PDEs related to hydrodynamics and electrodynamics. Zbl 1136.37355Brenier, Yann 11 2002 Optimal multiphase transportation with prescribed momentum. Zbl 1091.49034Brenier, 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 0997.35056Brenier, Yann; Mauser, Norbert J.; Puel, Marjolaine 1 2002 Mixed \(L^2\)-Wasserstein optimal mapping between prescribed density functions. Zbl 1010.49029Benamou, J. D.; Brenier, Y. 13 2001 A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Zbl 0968.76069Benamou, Jean-David; Brenier, Yann 429 2000 Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Zbl 0970.35110Brenier, Y. 133 2000 A hierarchy of models for two-phase flows. Zbl 0998.76088Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F. 27 2000 Derivation of the Euler equations from a caricature of Coulomb interaction. Zbl 1025.82012Brenier, Yann 10 2000 Dissipative behavior of some fully nonlinear KdV-type equations. Zbl 0945.35076Brenier, Yann; Levy, Doron 3 2000 Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations. Zbl 0910.35098Brenier, Yann 48 1999 Homogeneous hydrostatic flows with convex velocity profiles. Zbl 0984.35131Brenier, Yann 40 1999 A numerical method for the optimal time-continuous mass transport problem and related problems. Zbl 0916.65068Benamou, Jean-David; Brenier, Yann 16 1999 Sticky particles and scalar conservation laws. Zbl 0924.35080Brenier, Yann; Grenier, Emmanuel 158 1998 A kinetic formulation for multi-branch entropy solutions of scalar conservation laws. Zbl 0893.35068Brenier, Y.; Corrias, L. 46 1998 Weak existence for the semigeostrophic equations formulated as a coupled Monge–Ampère/transport problem. Zbl 0915.35024Benamou, J.-D.; Brenier, Y. 39 1998 Relaxation limits for a class of balance laws with kinetic formulation. Zbl 0933.35128Brenier, Yann; Corrias, Lucilla; Natalini, Roberto 5 1998 A homogenized model for vortex sheets. Zbl 0962.35140Brenier, Yann 18 1997 Convergence of particle methods with random rezoning for the two- dimensional Euler and Navier-Stokes equations. Zbl 0832.76065Brenier, 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 0874.35070Brenier, Y. 1 1995 Some conservation laws given by kinetic models. (Quelques lois de conservations issues de modèles cinétiques.) Zbl 0873.35065Brenier, 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 0803.35110Brenier, Yann; Grenier, Emmanuel 14 1994 On the motion of an ideal incompressible fluid. Zbl 0810.35082Brenier, Yann 1 1994 A domain decomposition method for the polar factorization of vector fields. Zbl 0797.65006Benamou, J.-D.; Brenier, Y. 1 1994 The dual least action problem for an ideal, incompressible fluid. Zbl 0797.76006Brenier, Y. 29 1993 Polar factorization and monotone rearrangement of vector-valued functions. Zbl 0738.46011Brenier, Yann 478 1991 Upstream differencing for multiphase flow in reservoir simulation. Zbl 0735.76071Brenier, Yann; Jaffré, Jérôme 38 1991 Remarks on some linear hyperbolic equations with oscillatory coefficients. Zbl 0768.35057Brenier, 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 0829.65113Brenier, Yann 2 1990 The least action principle and the related concept of generalized flows for incompressible perfect fluids. Zbl 0697.76030Brenier, 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 0667.65006Brenier, Yann 17 1989 A combinatorial algorithm for the Euler equations of incompressible flows. Zbl 0687.76016Brenier, Yann 5 1989 The discrete one-sided Lipschitz condition for convex scalar conversation laws. Zbl 0637.65090Brenier, Yann; Osher, Stanley 16 1988 Décomposition polaire et réarrangement monotone des champs de vecteurs. (Polar decomposition and increasing rearrangement of vector fields). Zbl 0652.26017Brenier, Yann 122 1987 Approximate Riemann solvers and numerical flux functions. Zbl 0597.65071Brenier, Yann; Osher, Stanley 3 1986 Averaged multivalued solutions for scalar conservation laws. Zbl 0565.65054Brenier, 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 0549.35055Brenier, Yann 33 1983 Méthode de transport-écoulement par deplacement de lignes de niveau appliquée aux écoulements en milieu poreux. Zbl 0544.76100Brenier, Yann 1 1982 Une application de la symetrisation de Steiner aux équations hyperboliques: la méthode de transport et ecroulement. Zbl 0459.35006Brenier, Yann 9 1981 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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