Yann Brenier

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All published works

Action	Title	Year	Authors
+	Monge-Ampère gravity, optimal transport theory, and their link to the Galileons	2024	Albert Bonnefous Yann Brenier Roya Mohayaee
+ PDF Chat	Monge-Ampère gravity: From the large deviation principle to cosmological simulations through optimal transport	2024	Bruno Lévy Yann Brenier Roya Mohayaee
+	Mathématiques des plasmas et fluides	2024	Yann Brenier
+ PDF Chat	Monge-Amp\`ere gravity, optimal transport theory and their link to the Galileons	2024	Albert Bonnefous Yann Brenier Roya Mohayaee
+ PDF Chat	Monge–Ampère gravitation as a Γ-limit of good rate functions	2023	Luigi Ambrosio Aymeric Baradat Yann Brenier
+	Monge-Ampère gravitation as a Γ-limit of good rate functions	2023	Luigi Ambrosio Aymeric Baradat Yann Brenier
+ PDF Chat	Relaxed solutions for incompressible inviscid flows: a variational and gravitational approximation to the initial value problem	2022	Yann Brenier Iván Moyano
+ PDF Chat	Une interprétation variationnelle de la relativité générale dans le vide en termes de transport optimal	2022	Yann Brenier
+	Various formulations and approximations of incompressible fluid motions in porous media	2022	Yann Brenier
+ PDF Chat	Relaxed solutions for incompressible inviscid flows: A variational and gravitational approximation to the initial value problem	2021	Yann Brenier Iván Moyano
+ PDF Chat	$\Gamma$-convergence for a class of action functionals induced by gradients of convex functions	2021	Luigi Ambrosio Aymeric Baradat Yann Brenier
+ PDF Chat	Examples of Hidden Convexity in Nonlinear PDEs	2020	Yann Brenier
+	Monge-Ampère gravitation as a $\Gamma$-limit of good rate functions	2020	Luigi Ambrosio Aymeric Baradat Yann Brenier
+ PDF Chat	On Optimal Transport of Matrix-Valued Measures	2020	Yann Brenier Dmitry Vorotnikov
+ PDF Chat	Optimal transportation of particles, fluids and currents	2019	Yann Brenier
+	Geometric origin and some properties of the arctangential heat equation	2018	Yann Brenier
+ PDF Chat	The Initial Value Problem for the Euler Equations of Incompressible Fluids Viewed as a Concave Maximization Problem	2018	Yann Brenier
+	On optimal transport of matrix-valued measures.	2018	Yann Brenier Dmitry Vorotnikov
+	An integrable example of gradient flow based on optimal transport of differential forms	2018	Yann Brenier Xianglong Duan
+ PDF Chat	Geometric origin and few properties of the arctangential heat equation	2018	Yann Brenier
+	On the Derivation of Newtonian Gravitation from the Brownian Agitation of a Regular Lattice	2018	Yann Brenier
+ PDF Chat	Geometric diffusions of 1-currents	2017	Yann Brenier
+	From Conservative to Dissipative Systems Through Quadratic Change of Time, with Application to the Curve-Shortening Flow	2017	Yann Brenier Xianglong Duan
+	Solution by convex minimizationof the Cauchy problem forhyperbolic systems of conservation laws with convex entropy	2017	Yann Brenier
+	Some Variational and Stochastic Methods for the Euler Equations of Incompressible Fluid Dynamics and Related Models	2017	Yann Brenier
+	An integrable example of gradient flows based on optimal transport of differential forms	2017	Yann Brenier Xianglong Duan
+ PDF Chat	Connections between optimal transport, combinatorial optimization and hydrodynamics	2015	Yann Brenier
+	A double large deviation principle for monge-ampere gravitation	2015	Yann Brenier
+ PDF Chat	Diffusion de champs de vecteur conservant leur topologie et relaxation magnétique	2014	Yann Brenier
+	Connections between Optimal Transport, Combinatorial Optimization and Hydrodynamics	2014	Yann Brenier
+ PDF Chat	Topology-Preserving Diffusion of Divergence-Free Vector Fields and Magnetic Relaxation	2014	Yann Brenier
+	Connections between Optimal Transport, Combinatorial Optimization and Hydrodynamics	2014	Yann Brenier
+ PDF Chat	Rearrangement, convection, convexity and entropy	2013	Yann Brenier
+	Approximation of a simple Navier-Stokes model by monotonic rearrangement	2013	Yann Brenier
+	Approximation of a simple Navier-Stokes model by monotonic rearrangement	2012	Yann Brenier
+	Sticky particle dynamics with interactions	2012	Yann Brenier Wilfrid Gangbo Giuseppe Savaré Michael Westdickenberg
+ PDF Chat	Remarks on the minimizing geodesic problem in inviscid incompressible fluid mechanics	2012	Yann Brenier
+	Approximation of a simple Navier-Stokes model by monotonic rearrangement	2012	Yann Brenier
+ PDF Chat	Weak-Strong Uniqueness for Measure-Valued Solutions	2011	Yann Brenier Camillo De Lellis László Székelyhidi
+	Upper Bounds on Coarsening Rates in Demixing Binary Viscous Liquids	2011	Yann Brenier Félix Otto Christian Seis
+	Remarks on the Minimizing Geodesic Problem in Inviscid Incompressible Fluid Mechanics	2010	Yann Brenier
+ PDF Chat	Hilbertian approaches to some non-linear conservation laws	2010	Yann Brenier
+	Remarks on the Minimizing Geodesic Problem in Inviscid Incompressible Fluid Mechanics	2010	Yann Brenier
+	Hyperbolic PDEs, Kinetic Formulation, Geometric Measure Theory	2009	Yann Brenier
+	On the hydrostatic and Darcy limits of the convective Navier-Stokes equations	2009	Yann Brenier
+ PDF Chat	Optimal Transport, Convection, Magnetic Relaxation and Generalized Boussinesq Equations	2009	Yann Brenier
+	L 2 Formulation of Multidimensional Scalar Conservation Laws	2009	Yann Brenier
+	Hidden convexity in some nonlinear PDEs from geometry and physics	2009	Yann Brenier
+ PDF Chat	Rigorous derivation of the X-Z semigeostrophic equations	2009	Yann Brenier M. J. P. Cullen
+	The multi-water-bag equations for collisionless kinetic modeling	2009	Nicolas Besse Florent Berthelin Yann Brenier P. Bertrand
+	Weak-strong uniqueness for measure-valued solutions	2009	Yann Brenier Camillo De Lellis László Székelyhidi
+	Generalized solutions and hydrostatic approximation of the Euler equations	2008	Yann Brenier
+ PDF Chat	Optimal transportation of flows and Nonlinear Electromagnetism	2008	Yann Brenier
+	Non relativistic strings may be approximated by relativistic strings	2006	Yann Brenier
+	L2 formulation of multidimensional scalar conservation laws	2006	Yann Brenier
+	Solutions with Concentration to the Riemann Problem for the One-Dimensional Chaplygin Gas Equations	2005	Yann Brenier
+ PDF Chat	CONTRACTIVE METRICS FOR SCALAR CONSERVATION LAWS	2005	François Bolley Yann Brenier Grégoire Loeper
+	Le système de Born-Infeld élargi : des ondes aux particules et aux cordes	2005	Yann Brenier
+	A geometric approximation to the Euler equations: the Vlasov-Monge-Ampere system	2005	Yann Brenier Grégoire Loeper
+ PDF Chat	Non Relativistic Strings may be Approximated by Relativistic Strings	2005	Yann Brenier
+	A Geometric approximation to the euler equations: the Vlasov?Monge?Amp�re system	2004	Yann Brenier Grégoire Loeper
+	Hydrodynamic Structure of the Augmented Born-Infeld Equations	2004	Yann Brenier
+ PDF Chat	Order preserving vibrating strings and applications to electrodynamics and magnetohydrodynamics	2004	Yann Brenier
+	Extension of the Monge-Kantorovich theory to classical electrodynamics	2004	Yann Brenier
+	A Note on Deformations of 2D Fluid Motions Using 3D Born-Infeld Equations	2004	Yann Brenier
+ PDF Chat	Reconstruction of the early Universe as a convex optimization problem	2003	Yann Brenier U. Frisch M. Hénon Grégoire Loeper S. Matarrese Roya Mohayaee Andreĭ Sobolevskiĭ
+	On a relaxation approximation of the incompressible Navier-Stokes equations	2003	Yann Brenier Roberto Natalini Marjolaine Puel
+	Remarks on the derivation of the hydrostatic Euler equations	2003	Yann Brenier
+	$L^p$ Approximation of maps by diffeomorphisms	2003	Yann Brenier Wilfrid Gangbo
+ PDF Chat	Incompressible Euler and E-MHD as scaling limits of the Vlasov-Maxwell system	2003	Yann Brenier Norbert J. Mauser Marjolaine Puel
+	Some geometric PDEs related to hydrodynamics and electrodynamics	2003	Yann Brenier
+	Topics on Hydrodynamics and Volume Preserving Maps	2003	Yann Brenier
+	Extended Monge-Kantorovich Theory	2003	Yann Brenier
+ PDF Chat	Optimal Transportation and Applications	2003	Luigi Ambrosio Luis Caffarelli Yann Brenier Giuseppe Buttazzo Cédric Villani Sandro Salsa
+	The Monge–Kantorovitch mass transfer and its computational fluid mechanics formulation	2002	Jean‐David Benamou Yann Brenier Kevin Guittet
+ PDF Chat	Sur quelques limites de la physique des particules chargées vers la (magnéto)hydrodynamique	2002	Yann Brenier Norbert J. Mauser Marjolaine Puel
+ PDF Chat	Optimal Multiphase Transportation with prescribed momentum	2002	Yann Brenier Marjolaine Puel
+	Mixed L 2-Wasserstein Optimal Mapping Between Prescribed Density Functions	2001	Jean‐David Benamou Yann Brenier
+	A Monge-Kantorovich Approach to the Maxwell Equations	2001	Yann Brenier
+	A Hierarchy of Models for Two-Phase Flows	2000	François Bouchut Yann Brenier Julien Cortes J.‐F. Ripoll
+	SHORTEST PATHS ON GROUPS OF VOLUME-PRESERVING MAPS AND THE HYDROSTATIC LIMIT OF THE EULER EQUATIONS	2000	Yann Brenier
+ PDF Chat	Derivation of the Euler Equations¶from a Caricature of Coulomb Interaction	2000	Yann Brenier
+ PDF Chat	Dissipative behavior of some fully non-linear KdV-type equations	2000	Yann Brenier Doron Levy
+	A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem	2000	Jean‐David Benamou Yann Brenier
+	convergence of the vlasov-poisson system to the incompressible euler equations	2000	Yann Brenier
+	Numerical Resolution of a Multiphasic Optimal Mass Transport Problem	2000	Jean‐David Benamou Yann Brenier Kevin Guittet
+	Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations	1999	Yann Brenier
+	Homogeneous hydrostatic flows with convex velocity profiles	1999	Yann Brenier
+	Dissipative Behavior of Some Fully Non-Linear KdV-Type Equations	1999	Doron Levy Yann Brenier
+	A numerical method for the optimal time-continuous mass transport problem and related problems	1999	Jean‐David Benamou Yann Brenier
+	Mathématique et physique	1999	Kenyon E. Richard Yann Brenier Maxime Kontsevich
+	Sticky Particles and Scalar Conservation Laws	1998	Yann Brenier Emmanuel Grenier
+	RELAXATION LIMITS FOR A CLASS OF BALANCE LAWS WITH KINETIC FORMULATION	1998	Yann Brenier Lucilla Corrias Roberto Natalini
+	Weak Existence for the Semigeostrophic Equations Formulated as a Coupled Monge--Ampère/Transport Problem	1998	Jean‐David Benamou Yann Brenier
+ PDF Chat	A kinetic formulation for multi-branch entropy solutions of scalar conservation laws	1998	Yann Brenier L. Corrias
+	The Optimal Time-Continuous Mass Transport Problem and its Augmented Lagrangian Numerical Resolution	1998	Jean‐David Benamou Yann Brenier
+	A Homogenized Model for Vortex Sheets	1997	Yann Brenier
+	Homogénéisation variationnelle des équations d’Euler	1997	Yann Brenier
+	Convergence of Particle Methods with Random Rezoning for the Two-Dimensional Euler and Navier–Stokes Equations	1995	Yann Brenier Georges‐Henri Cottet
+	The dual Least Action Problem for an ideal, incompressible fluid	1993	Yann Brenier
+	Le problème du plus court chemin en hydrodynamique incompressible	1992	Yann Brenier
+ PDF Chat	Le problème du plus court chemin en hydrodynamique incompressible	1992	Yann Brenier
+	Polar factorization and monotone rearrangement of vector‐valued functions	1991	Yann Brenier
+	Une méthode particulaire pour les équations non linéaires de diffusion convection en dimension un	1990	Yann Brenier
+	A combinatorial algorithm for the euler equations of incompressible flows	1989	Yann Brenier
+ PDF Chat	The Least Action Principle and the Related Concept of Generalized Flows for Incompressible Perfect Fluids	1989	Yann Brenier
+ PDF Chat	The least action principle and the related concept of generalized flows for incompressible perfect fluids	1989	Yann Brenier
+	Une formulation de type Vlassov-Poisson pour les equations d'Euler des fluides parfaits incompressibles	1989	Yann Brenier
+ PDF Chat	The Discrete One-Sided Lipschitz Condition for Convex Scalar Conservation Laws	1988	Yann Brenier Stanley Osher
+	Discrete one-sided Lipschitz condition for convex scalar conservation laws. Final report	1986	Yann Brenier S. Osher
+	Approximate Riemann Solvers and Numerical Flux Functions	1986	Yann Brenier Stanley Osher
+	Averaged Multivalued Solutions for Scalar Conservation Laws	1984	Yann Brenier
+	Résolution d'équations d'évolution quasilinéaires en dimension N d'espace à l'aide d'équations linéaires en dimension N + 1	1983	Yann Brenier
+	Approximation de solutions entropiques d'équations d'évolution semi-linéaires	1980	Yann Brenier

Common Coauthors

Coauthor	Papers Together
Jean‐David Benamou	7
Luigi Ambrosio	5
Roya Mohayaee	4
Aymeric Baradat	4
Marjolaine Puel	4
Grégoire Loeper	4
Xianglong Duan	3
Dmitry Vorotnikov	2
Albert Bonnefous	2
László Székelyhidi	2
Kevin Guittet	2
Stanley Osher	2
Wilfrid Gangbo	2
Doron Levy	2
Iván Moyano	2
Norbert J. Mauser	2
Camillo De Lellis	2
Roberto Natalini	2
Florent Berthelin	1
Giuseppe Savaré	1
U. Frisch	1
Luis A. Caffarelli	1
Félix Otto	1
Bruno Lévy	1
Michael Westdickenberg	1
Andreĭ Sobolevskiĭ	1
Emmanuel Grenier	1
Lucilla Corrias	1
Cédric Villani	1
Nicolas Besse	1
François Bouchut	1
J.‐F. Ripoll	1
Julien Cortes	1
Georges‐Henri Cottet	1
M. Hénon	1
S. Matarrese	1
Sandro Salsa	1
Kenyon E. Richard	1
François Bolley	1
L. Corrias	1
M. J. P. Cullen	1
Giuseppe Buttazzo	1
Christian Seis	1
P. Bertrand	1
Maxime Kontsevich	1
S. Osher	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Polar factorization and monotone rearrangement of vector‐valued functions	1991	Yann Brenier	31
+ PDF Chat	Topics in Optimal Transportation	2003	Cédric Villani	20
+	A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem	2000	Jean‐David Benamou Yann Brenier	17
+	ON THE GEOMETRY OF THE GROUP OF DIFFEOMORPHISMS AND THE DYNAMICS OF AN IDEAL INCOMPRESSIBLE FLUID	1987	Alexander Shnirelman	13
+	Hydrodynamic Structure of the Augmented Born-Infeld Equations	2004	Yann Brenier	13
+	THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION	2001	Félix Otto	12
+	Gradient Flows: In Metric Spaces and in the Space of Probability Measures	2005	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	12
+	Ordinary differential equations, transport theory and Sobolev spaces	1989	Ronald J. DiPerna Pierre Louis Lions	11
+	The Variational Formulation of the Fokker--Planck Equation	1998	Richard W. Jordan David Kinderlehrer Félix Otto	11
+	Groups of Diffeomorphisms and the Motion of an Incompressible Fluid	1970	David G. Ebin Jerrold E. Marsden	10
+	Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations	1999	Yann Brenier	10
+ PDF Chat	Oscillations and concentrations in weak solutions of the incompressible fluid equations	1987	Ronald J. DiPerna Andrew J. Majda	10
+	Averaged Multivalued Solutions for Scalar Conservation Laws	1984	Yann Brenier	10
+ PDF Chat	Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits	1966	Vladimir I. Arnold	10
+	convergence of the vlasov-poisson system to the incompressible euler equations	2000	Yann Brenier	9
+	CATEGORIES OF BISTOCHASTIC MEASURES, AND REPRESENTATIONS OF SOME INFINITE-DIMENSIONAL GROUPS	1993	Yury A. Neretin	9
+	Boundary regularity of maps with convex potentials	1992	Luis Caffarelli	9
+ PDF Chat	The least action principle and the related concept of generalized flows for incompressible perfect fluids	1989	Yann Brenier	9
+	The Compensated Compactness Method Applied to Systems of Conservation Laws	1983	Luc Tartar	8
+ PDF Chat	The geometry of optimal transportation	1996	Wilfrid Gangbo Robert J. McCann	8
+	A Geometric approximation to the euler equations: the Vlasov?Monge?Amp�re system	2004	Yann Brenier Grégoire Loeper	8
+	Operateurs Maximaux Monotones - Et Semi-Groupes De Contractions Dans Les Espaces De Hilbert	1973	Haı̈m Brezis	8
+ PDF Chat	Polar factorization of maps on Riemannian manifolds	2001	Robert J. McCann	8
+	Generalised Lagrangian Solutions for Atmospheric and Oceanic Flows	1991	M. J. P. Cullen John W. Norbury Robert James Purser	7
+ PDF Chat	A reconstruction of the initial conditions of the Universe by optimal mass transportation	2002	U. Frisch S. Matarrese Roya Mohayaee Andreĭ Sobolevskiĭ	7
+ PDF Chat	Derivation of the Euler Equations¶from a Caricature of Coulomb Interaction	2000	Yann Brenier	7
+ PDF Chat	Reconstruction of the early Universe as a convex optimization problem	2003	Yann Brenier U. Frisch M. Hénon Grégoire Loeper S. Matarrese Roya Mohayaee Andreĭ Sobolevskiĭ	7
+	Résolution d'équations d'évolution quasilinéaires en dimension N d'espace à l'aide d'équations linéaires en dimension N + 1	1983	Yann Brenier	6
+	L 2 Formulation of Multidimensional Scalar Conservation Laws	2009	Yann Brenier	6
+	A kinetic construction of global solutions of first order quasilinear equations	1983	Yoshikazu Giga Tetsuro Miyakawa	6
+	Optimal Transport: Old and New	2013	Cédric Villani	6
+	A Homogenized Model for Vortex Sheets	1997	Yann Brenier	6
+	On the optimal mapping of distributions	1984	M. Knott Cyril Stanley Smith	6
+ PDF Chat	Order preserving vibrating strings and applications to electrodynamics and magnetohydrodynamics	2004	Yann Brenier	6
+	Remarks on the derivation of the hydrostatic Euler equations	2003	Yann Brenier	6
+ PDF Chat	The regularity of mappings with a convex potential	1992	Luis Caffarelli	6
+	Weak Existence for the Semigeostrophic Equations Formulated as a Coupled Monge--Ampère/Transport Problem	1998	Jean‐David Benamou Yann Brenier	6
+ PDF Chat	Weak-Strong Uniqueness for Measure-Valued Solutions	2011	Yann Brenier Camillo De Lellis László Székelyhidi	6
+	On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations	2007	Luigi Ambrosio Alessio Figalli	5
+	The dual Least Action Problem for an ideal, incompressible fluid	1993	Yann Brenier	5
+	Sticky Particles and Scalar Conservation Laws	1998	Yann Brenier Emmanuel Grenier	5
+	Sticky particle dynamics with interactions	2012	Yann Brenier Wilfrid Gangbo Giuseppe Savaré Michael Westdickenberg	5
+ PDF Chat	On the derivation of homogeneous hydrostatic equations	1999	Emmanuel Grenier	5
+ PDF Chat	Systems of conservation laws	1960	Peter D. Lax Burton Wendroff	5
+	Pseudo-differential energy estimates of singular perturbations	1997	Éric Grenier	5
+	Renormalized Solutions to the Vlasov Equation with Coefficients of Bounded Variation	2001	François Bouchut	5
+ PDF Chat	A kinetic formulation of multidimensional scalar conservation laws and related equations	1994	Pierre‐Louis Lions Benoı̂t Perthame Eitan Tadmor	5
+ PDF Chat	Hamiltonian ODEs in the Wasserstein space of probability measures	2007	Luigi Ambrosio Wilfrid Gangbo	5
+ PDF Chat	Partial Differential Equations and Monge-Kantorovich Mass Transfer	1997	L. C. Evans	5
+	Homogeneous hydrostatic flows with convex velocity profiles	1999	Yann Brenier	5