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math.AP2025
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…
math.AP2025
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…
math.AP2021★ 4 cited
About Lanford's theorem in the half-space with specular reflection
Théophile Dolmaire
The present article proposes a rigorous derivation of the Boltzmann equation in the half-space. We show an analog of the Lanford's theorem in this domain, with specular reflection…