Global existence and decay of solutions to the Fokker-Planck-Boltzmann equation

DOI10.3934/krm.2014.7.169zbMath1292.35197arXiv1306.3079OpenAlexW2963948714MaRDI QIDQ2438149

Lusheng Wang, Linjie Xiong, Tao Wang

Publication date: 10 March 2014

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

Full work available at URL: https://arxiv.org/abs/1306.3079

zbMATH Keywords

coercivityweight functiontime decayFokker-Planck-Boltzmann

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Gravitational energy and conservation laws; groups of motions (83C40) Boltzmann equations (35Q20)

Related Items

Global well-posedness for the Fokker-Planck-Boltzmann equation in Besov-Chemin-Lerner type spaces, Decay and stability of solutions to the Fokker–Planck–Boltzmann equation in, Global existence and decay of solutions for hard potentials to the Fokker-Planck-Boltzmann equation without cut-off, On the Cauchy problem for the Boltzmann equation in Chemin-Lerner type spaces, The Fokker-Planck-Boltzmann equation in low regularity space, The Fokker–Planck–Boltzmann equation in the finite channel, Decay of the Boltzmann equation in spatial critical Besov space, On the Fourier-transformed Boltzmann equation with Brownian motion, Global existence and decay of solutions for soft potentials to the Fokker-Planck-Boltzmann equation without cut-off

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