6 citations · 18 across the 9 of their papers we have counts for
4 papers · 1 filter
Four collapsing one-dimensional particles: a dynamical system approach of the spherical billiard reduction
Roberto Castorrini, Théophile Dolmaire
We consider a system of four one-dimensional inelastic hard spheres evolving on the real line , and colliding according to a scattering law characterized by a fixed res…
Boltzmann-Grad limit for the inelastic Lorentz gas: Part I. Existence, uniqueness, and rigorous derivation via weak convergence
Théophile Dolmaire, Alessia Nota
In this paper we provide a rigorous derivation of the inelastic linear Boltzmann equation, in the Boltzmann-Grad limit, from a dissipative, random, Lorentz gas in arbitrary dimensi…
The global attractor of the inelastic linear Boltzmann equation in a gravity field for Maxwell molecules
Théophile Dolmaire, Nicola Miele, Alessia Nota
In this article we consider the linear inelastic Boltzmann equation in presence of a uniform and fixed gravity field, in the case of Maxwell molecules. We first obtain a well-posed…
On the local Maxwellians solving the Boltzmann equation with boundary condition
Théophile Dolmaire
We derive the expressions of the local Maxwellians that solve the Boltzmann equation in the interior of an open domain. We determine which of these local Maxwellians satisfy the Bo…