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1

A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

Jean-David Benamou, Yann Brenier

Journal:

Numerische Mathematik

Year:

2000

Language:

english

File:

PDF, 371 KB

english, 2000

2

Polar factorization and monotone rearrangement of vector-valued functions

Journal:

Communications on Pure and Applied Mathematics

Year:

1991

Language:

english

File:

PDF, 1.61 MB

english, 1991

3

The Least Action Principle and the Related Concept of Generalized Flows for Incompressible Perfect Fluids

Journal:

Journal of the American Mathematical Society

Year:

1989

Language:

english

File:

PDF, 1.85 MB

english, 1989

4

[Lecture Notes in Mathematics] Optimal Transportation and Applications Volume 1813 || Optimal transportation, dissipative PDE’s and functional inequalities

Ambrosio, Luigi, Caffarelli, Luis A., Brenier, Yann, Buttazzo, Giuseppe, Villani, Cedric, Salsa, Sandro

Year:

2003

Language:

english

File:

PDF, 339 KB

english, 2003

5

Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations

Journal:

Communications on Pure and Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 454 KB

english, 1999

6

The least action principle and the related concept of generalized flows for incompressible perfect fluids

Journal:

Journal of the American Mathematical Society

Year:

1989

Language:

english

File:

PDF, 2.87 MB

english, 1989

7

(L^p)Approximation of maps by diffeomorphisms

Yann Brenier, Wilfrid Gangbo

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2003

Language:

english

File:

PDF, 213 KB

english, 2003

8

Résolution d'équations d'évolution quasilinéaires en dimension N d'espace à l'aide d'équations linéaires en dimension N + 1

Journal:

Journal of Differential Equations

Year:

1983

File:

PDF, 617 KB

1983

9

[Lecture Notes in Mathematics] Optimal Transportation and Applications Volume 1813 || Extended Monge-Kantorovich Theory

Ambrosio, Luigi, Caffarelli, Luis A., Brenier, Yann, Buttazzo, Giuseppe, Villani, Cedric, Salsa, Sandro

Year:

2003

Language:

english

File:

PDF, 287 KB

english, 2003

10

Averaged Multivalued Solutions for Scalar Conservation Laws

Journal:

SIAM Journal on Numerical Analysis

Year:

1984

Language:

english

File:

PDF, 1.99 MB

english, 1984

11

Remarks on the minimizing geodesic problem in inviscid incompressible fluid mechanics

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2013

Language:

english

File:

PDF, 173 KB

english, 2013

12

Sticky Particles and Scalar Conservation Laws

Yann Brenier and Emmanuel Grenier

Journal:

SIAM Journal on Numerical Analysis

Year:

1998

Language:

english

File:

PDF, 773 KB

english, 1998

13

Upstream Differencing for Multiphase Flow in Reservoir Simulation

Yann Brenier and Jerome Jaffre

Journal:

SIAM Journal on Numerical Analysis

Year:

1991

Language:

english

File:

PDF, 886 KB

english, 1991

14

A MODIFIED LEAST ACTION PRINCIPLE ALLOWING MASS CONCENTRATIONS FOR THE EARLY UNIVERSE RECONSTRUCTION PROBLEM

Journal:

Confluentes Mathematici

Year:

2011

Language:

english

File:

PDF, 433 KB

english, 2011

15

[Lecture Notes in Mathematics] Optimal Transportation and Applications Volume 1813 || Existence and stability results in the L1 theory of optimal transportation

Ambrosio, Luigi, Caffarelli, Luis A., Brenier, Yann, Buttazzo, Giuseppe, Villani, Cedric, Salsa, Sandro

Year:

2003

Language:

english

File:

PDF, 384 KB

english, 2003

16

An integrable example of gradient flow based on optimal transport of differential forms

Brenier, Yann, Duan, Xianglong

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2018

Language:

english

File:

PDF, 438 KB

english, 2018

17

[Lecture Notes in Mathematics] Optimal Transportation and Applications Volume 1813 || The Monge-Ampère Equation and Optimal Transportation, an elementary review

Ambrosio, Luigi, Caffarelli, Luis A., Brenier, Yann, Buttazzo, Giuseppe, Villani, Cedric, Salsa, Sandro

Year:

2003

File:

PDF, 139 KB

2003

18

A combinatorial algorithm for the euler equations of incompressible flows

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1989

Language:

english

File:

PDF, 604 KB

english, 1989

19

Une méthode particulaire pour les équations non linéaires de diffusion convection en dimension un

Journal:

Journal of Computational and Applied Mathematics

Year:

1990

File:

PDF, 1.21 MB

1990

20

Generalized solutions and hydrostatic approximation of the Euler equations

Journal:

Physica D: Nonlinear Phenomena

Year:

2008

Language:

english

File:

PDF, 1.26 MB

english, 2008

21

Remarks on the derivation of the hydrostatic Euler equations

Journal:

Bulletin des Sciences Mathématiques

Year:

2003

File:

PDF, 94 KB

2003

22

Dissipative behavior of some fully non-linear KdV-type equations

Yann Brenier, Doron Levy

Journal:

Physica D: Nonlinear Phenomena

Year:

2000

Language:

english

File:

PDF, 399 KB

english, 2000

23

Sur quelques limites de la physique des particules chargées vers la (magnéto)hydrodynamique

Yann Brenier, Norbert J. Mauser, Marjolaine Puel

Journal:

Comptes Rendus Mathematique

Year:

2002

File:

PDF, 73 KB

2002

24

Hydrodynamic Structure of the Augmented Born-Infeld Equations

Journal:

Archive for Rational Mechanics and Analysis

Year:

2004

Language:

english

File:

PDF, 202 KB

english, 2004

25

L2Formulation of Multidimensional Scalar Conservation Laws

Journal:

Archive for Rational Mechanics and Analysis

Year:

2009

Language:

english

File:

PDF, 229 KB

english, 2009

26

A Homogenized Model for Vortex Sheets

Journal:

Archive for Rational Mechanics and Analysis

Year:

1997

Language:

english

File:

PDF, 534 KB

english, 1997

27

Weak-Strong Uniqueness for Measure-Valued Solutions

Yann Brenier, Camillo De Lellis, László Székelyhidi

Journal:

Communications in Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 190 KB

english, 2011

28

Derivation of the Euler Equations¶from a Caricature of Coulomb Interaction

Journal:

Communications in Mathematical Physics

Year:

2000

Language:

english

File:

PDF, 83 KB

english, 2000

29

Optimal Transport, Convection, Magnetic Relaxation and Generalized Boussinesq Equations

Journal:

Journal of Nonlinear Science

Year:

2009

Language:

english

File:

PDF, 424 KB

english, 2009

30

A Note on Deformations of 2D Fluid Motions Using 3D Born-Infeld Equations

Journal:

Monatshefte für Mathematik

Year:

2004

Language:

english

File:

PDF, 87 KB

english, 2004

31

On the hydrostatic and Darcy limits of the convective Navier-Stokes equations

Journal:

Chinese Annals of Mathematics, Series B

Year:

2009

Language:

english

File:

PDF, 327 KB

english, 2009

32

The Discrete One-Sided Lipschitz Condition for Convex Scalar Conservation Laws

Brenier, Yann, Osher, Stanley

Journal:

SIAM Journal on Numerical Analysis

Year:

1988

Language:

english

File:

PDF, 1.16 MB

english, 1988

33

Upper Bounds on Coarsening Rates in Demixing Binary Viscous Liquids

Brenier, Yann, Otto, Felix, Seis, Christian

Journal:

SIAM Journal on Mathematical Analysis

Year:

2011

Language:

english

File:

PDF, 406 KB

english, 2011

34

Topology-Preserving Diffusion of Divergence-Free Vector Fields and Magnetic Relaxation

Journal:

Communications in Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 208 KB

english, 2014

35

Sticky Particles and Scalar Conservation Laws

Brenier, Yann, Grenier, Emmanuel

Journal:

SIAM Journal on Numerical Analysis

Year:

1998

Language:

english

File:

PDF, 294 KB

english, 1998

36

Approximate Riemann Solvers and Numerical Flux Functions

Brenier, Yann, Osher, Stanley

Journal:

SIAM Journal on Numerical Analysis

Year:

1986

Language:

english

File:

PDF, 1.12 MB

english, 1986

37

Upstream Differencing for Multiphase Flow in Reservoir Simulation

Brenier, Yann, Jaffré, Jérôme

Journal:

SIAM Journal on Numerical Analysis

Year:

1991

Language:

english

File:

PDF, 1019 KB

english, 1991

38

Derivation of particle, string, and membrane motions from the Born–Infeld electromagnetism

Brenier, Yann, Yong, Wen-An

Journal:

Journal of Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 403 KB

english, 2005

39

On a Relaxation Approximation of the Incompressible Navier-Stokes Equations

Yann Brenier, Roberto Natalini and Marjolaine Puel

Journal:

Proceedings of the American Mathematical Society

Year:

2004

Language:

english

File:

PDF, 251 KB

english, 2004

40

CONTRACTIVE METRICS FOR SCALAR CONSERVATION LAWS

BOLLEY, FRANÇOIS, BRENIER, YANN, LOEPER, GRÉGOIRE

Journal:

Journal of Hyperbolic Differential Equations

Year:

2005

Language:

english

File:

PDF, 224 KB

english, 2005

41

Optimal Multiphase Transportation with prescribed momentum

Brenier, Yann, Puel, Marjolaine

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2002

Language:

english

File:

PDF, 370 KB

english, 2002

42

Approximate Riemann Solvers and Numerical Flux Functions

Yann Brenier and Stanley Osher

Journal:

SIAM Journal on Numerical Analysis

Year:

1986

Language:

english

File:

PDF, 1.18 MB

english, 1986

43

The Discrete One-Sided Lipschitz Condition for Convex Scalar Conservation Laws

Yann Brenier and Stanley Osher

Journal:

SIAM Journal on Numerical Analysis

Year:

1988

Language:

english

File:

PDF, 956 KB

english, 1988

44

Averaged Multivalued Solutions for Scalar Conservation Laws

Journal:

SIAM Journal on Numerical Analysis

Year:

1984

Language:

english

File:

PDF, 539 KB

english, 1984

45

[Handbook of Mathematical Fluid Dynamics] Volume 2 || Chapter 2 Topics on Hydrodynamics and Volume Preserving Maps

Year:

2003

Language:

english

File:

PDF, 1.26 MB

english, 2003

46

Connections between optimal transport, combinatorial optimization and hydrodynamics

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2015

Language:

english

File:

PDF, 220 KB

english, 2015

47

From Conservative to Dissipative Systems Through Quadratic Change of Time, with Application to the Curve-Shortening Flow

Brenier, Yann, Duan, Xianglong

Journal:

Archive for Rational Mechanics and Analysis

Year:

2018

Language:

english

File:

PDF, 488 KB

english, 2018

48

Reconstruction d'écoulements incompressibles à partir de données lagrangiennes

Brenier, Yann, Roesch, Michel, Ahues, Mario, Boukrouche, Mahdi, Carasso, Claude

Journal:

ESAIM Proceedings

Year:

1998

File:

PDF, 210 KB

1998

49

10.1090/S0002-9939-03-07230-7

Brenier, Yann, Natalini, Roberto, Puel, Marjolaine

Journal:

Proceedings of the American Mathematical Society

Year:

2004

Language:

english

File:

PDF, 168 KB

english, 2004

50

The Initial Value Problem for the Euler Equations of Incompressible Fluids Viewed as a Concave Maximization Problem

Journal:

Communications in Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 634 KB

english, 2018

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