4 papers
Convergence Towards the Steady State of a Collisionless Gas With Cercignani-Lampis Boundary Condition
Armand Bernou
We study the asymptotic behavior of the kinetic free-transport equation enclosed in a regular domain, on which no symmetry assumption is made, with Cercignani-Lampis boundary condi…
Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition
Armand Bernou, Kleber Carrapatoso, Stéphane Mischler +1
We establish the convergence to the equilibrium for various linear collisional kinetic equations (including linearized Boltzmann and Landau equations) with physical local conservat…
A semigroup approach to the convergence rate of a collisionless gas
Armand Bernou
We study the rate of convergence to equilibrium for a collisionless (Knudsen)gas enclosed in a vessel in dimension . By semigroup arguments,we prove that in the $L^1…
A coupling approach for the convergence to equilibrium for a collisionless gas
Armand Bernou, Nicolas Fournier
We use a probabilistic approach to study the rate of convergence to equilibrium for a collisionless (Knudsen) gas in dimension equal to or larger than 2. The use of a coupling betw…