Sharpening of decay rates in Fourier based hypocoercivity methods

DOI10.1007/978-3-030-82946-9_1zbMath1497.35469arXiv2012.09103OpenAlexW3111313373MaRDI QIDQ2090147

Christian Schmeiser, Tobias Wöhrer, Jean Dolbeault, Anton Arnold

Publication date: 24 October 2022

Full work available at URL: https://arxiv.org/abs/2012.09103

zbMATH Keywords

pseudo-differential operatorshypocoercivityNash's inequalitytransport operatorFokker-Planck operatorlinear kinetic equationsGoldstein-Taylor modelentropy-entropy production inequalitiesFourier modes decompositionlinear BGK operatorlinear relaxation operator

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) Fokker-Planck equations (35Q84)

Related Items (2)

Time averages for kinetic Fokker-Planck equations ⋮ \(\mathrm{L}^2\)-hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system

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