Behaviour of the Fokker-Planck-Boltzmann equation near a Maxwellian

DOI10.1007/s00205-007-0057-5zbMath1140.76037OpenAlexW2018518880MaRDI QIDQ934905

Akitaka Matsumura, Hai-liang Li

Publication date: 30 July 2008

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-007-0057-5

zbMATH Keywords

diffusion processconvergence to equilibriumtime-decay rate

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of gases (82D05)

Related Items (16)

Global well-posedness for the Fokker-Planck-Boltzmann equation in Besov-Chemin-Lerner type spaces ⋮ Global existence and decay rates of the solutions near Maxwellian for non-linear Fokker-Planck equations ⋮ Stability of global Maxwellian for fully nonlinear Fokker-Planck equations ⋮ 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 ⋮ Viscosity analysis on the Boltzmann equation ⋮ Pointwise description for the linearized Fokker-Planck-Boltzmann model ⋮ Large time asymptotics for Fermi-Dirac statistics coupled to a Poisson equation ⋮ Long time behavior of the Fokker-Planck-Boltzmann equation ⋮ The Fokker-Planck-Boltzmann equation in low regularity space ⋮ The Fokker–Planck–Boltzmann equation in the finite channel ⋮ Global existence and decay of solutions to the Fokker-Planck-Boltzmann equation ⋮ Regularities of the solutions to the Fokker-Planck-Boltzmann equation ⋮ Long time behavior of the Fokker-Planck-Boltzmann equation with soft potential ⋮ 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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