Hypocoercivity and global hypoellipticity for the kinetic Fokker-Planck equation in \(H^k\) spaces

DOI10.3934/krm.2023027zbMath1541.8201MaRDI QIDQ6569349

Chaoen Zhang

Publication date: 9 July 2024

Published in: Kinetic and Related Models (Search for Journal in Brave)

zbMATH Keywords

Langevin equationPoincaré inequalityconvergence to equilibriumhypoellipticityhypocoercivityCurie-Weiss modelkinetic Fokker-Planck equation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) PDEs in connection with mechanics of particles and systems of particles (35Q70) Fokker-Planck equations (35Q84)

This page was built for publication: Hypocoercivity and global hypoellipticity for the kinetic Fokker-Planck equation in \(H^k\) spaces