Entropy Dissipation and Long-Range Interactions

On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability

Ronald J. DiPerna, Pierre‐Louis Lions · Annals of Mathematics · 1989 · 1.2K citations

Nonlinear Functional Analysis, Entropy, Global Existence +9

Regularity of the moments of the solution of a Transport Equation

François Golse, Pierre-Louis Lions, Benoı̂t Perthame et al. · Journal of Functional Analysis · 1988 · 461 citations

Spectral Theory, Potential Theory, Transport Equation +4

Compactness in Boltzmann’s equation via Fourier integral operators and applications. II

Pierre‐Louis Lions · Kyoto journal of mathematics · 1994 · 232 citations · Full text

Spectral Theory, Dirichlet Form, Engineering +3

Lp regularity of velocity averages

Ronald J. DiPerna, Pierre‐Louis Lions, Yves Meyer · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 1991 · 205 citations

On the Fokker-Planck-Boltzmann equation

Ronald J. DiPerna, P. L. Lions · Communications in Mathematical Physics · 1988 · 192 citations

Engineering, Physics, Entropy +3