Long time asymptotics for homoenergetic solutions of the Boltzmann equation. Hyperbolic-dominated case
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Publication:5113446
DOI10.1088/1361-6544/ab853fzbMath1440.35229arXiv1906.08816OpenAlexW3034338149MaRDI QIDQ5113446
Juan J. L. Velazquez, Richard D. James, Alessia Nota
Publication date: 11 June 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.08816
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) Boltzmann equations (35Q20)
Related Items (9)
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 ⋮ 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 ⋮ Long-time asymptotics for homoenergetic solutions of the Boltzmann equation: collision-dominated case ⋮ 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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