3 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
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…
On the convergence from Boltzmann to Navier-Stokes-Fourier for general initial data
Pierre Gervais
In this work, we prove the convergence of strong solutions of the Boltzman equation, for initial data having polynomial decay in the velocity variable, towards those of the incompr…
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…