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math.AP2022★ 3 cited
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.AP2022
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…