Long-time asymptotics for homoenergetic solutions of the Boltzmann equation: collision-dominated case

DOI10.1007/s00332-019-09535-6zbMath1453.35133arXiv1808.06941OpenAlexW3099102738MaRDI QIDQ2327826

Alessia Nota, Richard D. James, Juan J. L. Velazquez

Publication date: 8 October 2019

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06941

zbMATH Keywords

Boltzmann equationkinetic theorynon-equilibriumHilbert expansionhomoenergetic solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Molecular, statistical, and kinetic theories in solid mechanics (74A25) Self-similar solutions to PDEs (35C06) Integro-partial differential equations (35R09) Boltzmann equations (35Q20)

Related Items (10)

The Boltzmann equation for uniform shear flow ⋮ On Smooth Solutions to the Thermostated Boltzmann Equation with Deformation ⋮ Objective molecular dynamics for atomistic simulation of macroscopic fluid motion ⋮ Long time asymptotics for homoenergetic solutions of the Boltzmann equation. Hyperbolic-dominated case ⋮ Homoenergetic solutions of the Boltzmann equation: the case of simple-shear deformations ⋮ Self-similar profiles for homoenergetic solutions of the Boltzmann equation: particle velocity distribution and entropy ⋮ Self-similar asymptotics for a modified Maxwell-Boltzmann equation in systems subject to deformations ⋮ Rescaled Objective Solutions of Fokker--Planck and Boltzmann equations ⋮ Self-similar profiles for homoenergetic solutions of the Boltzmann equation for non-cutoff Maxwell molecules ⋮ On solutions of the modified Boltzmann equation

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