Self-similar profiles for homoenergetic solutions of the Boltzmann equation: particle velocity distribution and entropy

DOI10.1007/s00205-018-1289-2zbMath1430.82012arXiv1710.03653OpenAlexW2761199264WikidataQ59197224 ScholiaQ59197224MaRDI QIDQ1710403

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

Publication date: 22 January 2019

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

Full work available at URL: https://arxiv.org/abs/1710.03653

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Self-similar solutions to PDEs (35C06) Boltzmann equations (35Q20)

Related Items (13)

The Boltzmann equation for uniform shear flow ⋮ A constitutive relation generalizing the Navier–Stokes theory to high-rate regimes ⋮ Non-equilibrium stationary solutions for multicomponent coagulation systems with injection ⋮ 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 asymptotics for a modified Maxwell-Boltzmann equation in systems subject to deformations ⋮ Rescaled Objective Solutions of Fokker--Planck and Boltzmann equations ⋮ Stationary non-equilibrium solutions for coagulation systems ⋮ 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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