3 papers
math.PR2021
Harris-type results on geometric and subgeometric convergence to equilibrium for stochastic semigroups
José A. Cañizo, Stéphane Mischler
We provide simple and constructive proofs of Harris-type theorems on the existence and uniqueness of an equilibrium and the speed of equilibration of discrete-time and continuous-t…
math.AP2021
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…
math.AP2020
Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators
Kleber Carrapatoso, Jean Dolbeault, Frédéric Hérau +2
We prove functional inequalities on vector fields on the Euclidean space when it is equipped with a bounded measure that satisfies a Poincaré inequality, and study associated self-…