Diffusion and kinetic transport with very weak confinement

DOI10.3934/krm.2020012zbMath1434.35237OpenAlexW2916484823MaRDI QIDQ2178476

Emeric Bouin, Jean Dolbeault, Christian Schmeiser

Publication date: 11 May 2020

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

Full work available at URL: https://doi.org/10.3934/krm.2020012

zbMATH Keywords

rate of convergencedecay ratessemigroupscattering operatorkinetic equationsweak Poincaré inequalityhypocoercivityCaffarelli-Kohn-Nirenberg inequalitiesNash's inequalitytransport operatorFokker-Planck operatorunbounded invariant measure

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Inequalities involving derivatives and differential and integral operators (26D10) Fokker-Planck equations (35Q84)

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