Effects of soft interaction and non-isothermal boundary upon long-time dynamics of rarefied gas

DOI10.1007/s00205-019-01405-5zbMath1428.35265arXiv1807.05700OpenAlexW2957078239MaRDI QIDQ2322734

Yong Wang, Renjun Duan, Zhu Zhang, Fei-Min Huang

Publication date: 5 September 2019

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

Full work available at URL: https://arxiv.org/abs/1807.05700

zbMATH Keywords

Boltzmann equationdynamical stabilitylong-time dynamicsrarefied gas

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (13)

Regularity of Boltzmann Equation with Cercignani--Lampis Boundary in Convex Domain ⋮ Boundary Layer Solution of the Boltzmann Equation for Diffusive Reflection Boundary Conditions in Half-Space ⋮ The Boltzmann equation for uniform shear flow ⋮ Global stability of Boltzmann equation with large external potential for a class of large oscillation data ⋮ On \(C^2\) solution of the free-transport equation in a disk ⋮ On Smooth Solutions to the Thermostated Boltzmann Equation with Deformation ⋮ Spectral gap formation to kinetic equations with soft potentials in bounded domain ⋮ Cercignani-Lampis boundary in the Boltzmann theory ⋮ Hölder regularity of the Boltzmann equation past an obstacle ⋮ Boundary layer solution of the Boltzmann equation for specular boundary condition ⋮ The Boltzmann equation with large-amplitude initial data in bounded domains ⋮ Hilbert expansion of the Boltzmann equation with specular boundary condition in half-space ⋮ The large amplitude solution of the Boltzmann equation with soft potential

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