Exponential convergence to the Maxwell distribution for some class of Boltzmann equations

DOI10.1007/s00220-012-1499-7zbMath1270.35100arXiv1011.4194OpenAlexW2963456120MaRDI QIDQ453335

Jürg Fröhlich, Zhou Gang

Publication date: 19 September 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4194

zbMATH Keywords

exponential convergencenonlinear Boltzmann equationstorus domain

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Maxwell equations (35Q61) Boltzmann equations (35Q20)

Related Items

Exponential convergence to the Maxwell distribution of solutions of spatially inhomogeneous Boltzmann equations ⋮ On the rate of convergence to equilibrium for the linear Boltzmann equation with soft potentials ⋮ Exponential convergence for the linear homogeneous Boltzmann equation for hard potentials ⋮ The Kac model coupled to a thermostat ⋮ Entropy dissipation estimates for the linear Boltzmann operator

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