Well-posedness of the spatially homogeneous Landau equation for soft potentials

Polar factorization and monotone rearrangement of vector‐valued functions

Yann Brenier · Communications on Pure and Applied Mathematics · 1991 · 1.7K citations

Natural Sciences, Mathematics, Optimization +8

Existence and uniqueness of monotone measure-preserving maps

Robert J. McCann · Duke Mathematical Journal · 1995 · 485 citations

Natural Sciences, Mathematics, Fluid Mechanics +8

On a New Class of Weak Solutions to the Spatially Homogeneous Boltzmann and Landau Equations

Cédric Villani · Archive for Rational Mechanics and Analysis · 1998 · 383 citations

Natural Sciences, Mathematics, Physics +13

Entropy Dissipation and Long-Range Interactions

Radjesvarane Alexandre, Laurent Desvillettes, Cédric Villani et al. · Archive for Rational Mechanics and Analysis · 2000 · 277 citations

Natural Sciences, Physics, Condensed Matter Physics +13

On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness

Laurent Desvillettes, Cédric Villani · Communications in Partial Differential Equations · 2000 · 232 citations

Natural Sciences, Mathematics, Physics +14