Existence of homoenergetic affine flows for the Boltzmann equation

DOI10.1007/BF00281497zbMath0697.76089OpenAlexW2088704536MaRDI QIDQ911930

Carlo Cercignani

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00281497

zbMATH Keywords

Boltzmann equationdistribution functionexistence theoremhomoenergetic affine flowshard spheremoment equations for a gas of Maxwellian molecules

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (12)

On group invariant solutions of the Boltzmann equation ⋮ Validation of a Monte Carlo simulation of the plane Couette flow of a rarefied gas ⋮ The Boltzmann equation for uniform shear flow ⋮ On Smooth Solutions to the Thermostated Boltzmann Equation with Deformation ⋮ 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 ⋮ The mathematics of mechanobiology and cell signaling. Abstracts from the workshop held February 25--March 3, 2018 ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• On generating exact solutions of the Maxwell-Boltzmann equation
• Global existence of solutions for a model Boltzmann equation
• On the Boltzmann equation. I: Existence
• On the Boltzmann equation. II: The full initial value problem
• Stone Duality for Nominal Boolean Algebras with И
• Exact solutions of the Boltzmann equation
• On a class of solutions of Grad's moment equations
• The Boltzmann equation in the kinetic theory of gases

This page was built for publication: Existence of homoenergetic affine flows for the Boltzmann equation