3 papers
math.AP2023
Hydrodynamic limits for kinetic equations preserving mass, momentum and energy: a spectral and unified approach in the presence of a spectral gap
Pierre Gervais, Bertrand Lods
Triggered by the fact that, in the hydrodynamic limit, several different kinetic equations of physical interest all lead to the same Navier-Stokes-Fourier system, we develop in the…
math.AP2022
Non-cutoff Boltzmann equation with soft potentials in the whole space
Kleber Carrapatoso, Pierre Gervais
We prove the existence and uniqueness of global solutions to the Boltzmann equation with non-cutoff soft potentials in the whole space when the initial data is a small perturbation…
math.AP2020
Spectral study of the linearized Boltzmann operator in L^2 spaces with polynomial and Gaussian weights
Pierre Gervais
The aim of this paper is to extend to the spaces L^2(R^d , (1+|v|)^2k dv) the spectral study led in L^2(R^d , exp(|v|^2/2)dv) by R. Ellis and M. Pinsky on the space inhomogeneous l…