82 citations · 403 across the 26 of their papers we have counts for
4 papers · 2 filters
Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules
L. Desvillettes, G. Furioli, E. Terraneo
We prove that Gevrey regularity is propagated by the Boltzmann equation with Maxwellian molecules, with or without angular cut-off. The proof relies on the Wild expansion of the so…
About estimates for the spatially homogeneous Boltzmann equation
Laurent Desvillettes, Clément Mouhot
For the homogeneous Boltzmann equation with (cutoff or non cutoff) hard potentials, we prove estimates of propagation of Lp norms with a weight (,…
Large time behavior of the a priori bounds for the solutions to the spatially homogeneous Boltzmann equations with soft potentials
Laurent Desvillettes, Clément Mouhot
We consider the spatially homogeneous Boltzmann equation for regularized soft potentials and Grad's angular cutoff. We prove that uniform (in time) bounds in …
Stability and uniqueness for the spatially homogeneous Boltzmann equation with long-range interactions
Clément Mouhot, Laurent Desvillettes
In this paper, we prove some a priori stability estimates (in weighted Sobolev spaces) for the spatially homogeneous Boltzmann equation without angular cutoff (covering every physi…