| Polar factorization and monotone rearrangement of vector‐valued functions Y Brenier Communications on pure and applied mathematics 44 (4), 375-417, 1991 | 2209 | 1991 |
| A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem JD Benamou, Y Brenier Numerische Mathematik 84 (3), 375-393, 2000 | 1959 | 2000 |
| Décomposition polaire et réarrangement monotone des champs de vecteurs Y Brenier CR Acad. Sci. Paris Sér. I Math. 305, 805-808, 1987 | 584 | 1987 |
| Sticky particles and scalar conservation laws Y Brenier, E Grenier SIAM journal on numerical analysis 35 (6), 2317-2328, 1998 | 433 | 1998 |
| Convergence of the Vlasov-Poisson system to the incompressible Euler equations Y Brenier Communications in Partial Differential Equations 25 (3-4), 737-754, 2000 | 334 | 2000 |
| The least action principle and the related concept of generalized flows for incompressible perfect fluids Y Brenier Journal of the American Mathematical Society 2 (2), 225-255, 1989 | 284 | 1989 |
| Existence and stability results in the L1 theory of optimal transportation L Ambrosio, LA Caffarelli, Y Brenier, G Buttazzo, C Villani, S Salsa, ... Optimal Transportation and Applications: Lectures given at the CIME Summer …, 2003 | 239 | 2003 |
| Minimal geodesics on groups of volume‐preserving maps and generalized solutions of the Euler equations Y Brenier Communications on Pure and Applied Mathematics: A Journal Issued by the …, 1999 | 227 | 1999 |
| Averaged multivalued solutions for scalar conservation laws Y Brenier SIAM journal on numerical analysis 21 (6), 1013-1037, 1984 | 221 | 1984 |
| Reconstruction of the early Universe as a convex optimization problem Y Brenier, U Frisch, M Hénon, G Loeper, S Matarrese, R Mohayaee, ... Monthly Notices of the Royal Astronomical Society 346 (2), 501-524, 2003 | 195 | 2003 |
| Extended monge-kantorovich theory Y Brenier LECTURE NOTES IN MATHEMATICS-SPRINGER VERLAG-, 91-122, 2003 | 195 | 2003 |
| Weak-strong uniqueness for measure-valued solutions Y Brenier, C De Lellis, L Székelyhidi Communications in mathematical physics 305, 351-361, 2011 | 171 | 2011 |
| Upstream differencing for multiphase flow in reservoir simulation Y Brenier, J Jaffré SIAM journal on numerical analysis 28 (3), 685-696, 1991 | 163 | 1991 |
| Weak existence for the semigeostrophic equations formulated as a coupled Monge--Ampère/transport problem JD Benamou, Y Brenier SIAM Journal on Applied Mathematics 58 (5), 1450-1461, 1998 | 156 | 1998 |
| Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations Y Brenier Journal of Mathematical Fluid Mechanics 7, S326-S331, 2005 | 154 | 2005 |
| Homogeneous hydrostatic flows with convex velocity profiles Y Brenier Nonlinearity 12 (3), 495, 1999 | 142 | 1999 |
| Hydrodynamic structure of the augmented Born-Infeld equations Y Brenier Archive for rational mechanics and analysis 172, 65-91, 2004 | 134 | 2004 |
| Résolution d'équations d'évolution quasilinéaires en dimension N d'espace à l'aide d'équations linéaires en dimension N+ 1 Y Brenier Journal of differential equations 50 (3), 375-390, 1983 | 129 | 1983 |
| A kinetic formulation for multi-branch entropy solutions of scalar conservation laws Y Brenier, L Corrias Annales de l'Institut Henri Poincaré C 15 (2), 169-190, 1998 | 128 | 1998 |
| A numerical method for the optimal time-continuous mass transport problem and related problems JD Benamou, Y Brenier Contemporary mathematics 226, 1-12, 1999 | 127 | 1999 |