3 papers
math.AP2026
Derivation of the Boltzmann equation from hard-sphere dynamics (after Y. Deng, Z. Hani, and X. Ma)
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
Consider a microscopic system of hard spheres that are initially independent (modulo the exclusion condition on particle positions) and identically distributed in $\mathbb{R}^3…
math.AP2026
The Cauchy Problem For Quasi-Linear Parabolic Systems Revisited
Isabelle Gallagher, Ayman Moussa
We study a class of parabolic quasilinear systems, in which the diffusion matrix is not uniformly elliptic, but satisfies a Petrovskii condition of positivity of the real part of t…
math.AP2025
The Navier-Stokes limit of kinetic equations for low regularity data
Kleber Carrapatoso, Isabelle Gallagher, Isabelle Tristani
In this paper, we investigate the link between kinetic equations (including Boltzmann with or without cutoff assumption and Landau equations) and the incompressible Navier-Stokes e…