A coupling approach for the convergence to equilibrium for a collisionless gas

DOI10.1214/21-AAP1696zbMath1495.82026arXiv1910.02739MaRDI QIDQ2134283

Armand Bernou, Nicolas Fournier

Publication date: 6 May 2022

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02739

zbMATH Keywords

Markov processcouplinglong-time behaviourcollisionless gasstochastic billiardssubexponential convergence to equilibrium

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Weak solutions to PDEs (35D30) Statistical mechanics of gases (82D05) Boltzmann equations (35Q20)

Related Items (4)

On quantitative hypocoercivity estimates based on Harris-type theorems ⋮ Convergence rate to equilibrium for collisionless transport equations with diffuse boundary operators: a new tauberian approach ⋮ Harris-type results on geometric and subgeometric convergence to equilibrium for stochastic semigroups ⋮ On subexponential convergence to equilibrium of Markov processes

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