A non-standard approach to the Boltzmann equation

DOI10.1007/BF00280402zbMath0547.76084OpenAlexW2005419227MaRDI QIDQ799204

Leif Arkeryd

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf00280402

zbMATH Keywords

nonlinear Boltzmann equationcollision operatorLoeb-L1 sub-solutions

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Other applications of nonstandard models (economics, physics, etc.) (03H10)

Related Items (8)

Loeb solutions of the Boltzmann equation ⋮ The Boltzmann equation without angular cutoff ⋮ The nonlinear Boltzmann equation with partially absorbing boundary conditions. Global existence and uniqueness results ⋮ Global existence and validity for the BBGKY hierarchy ⋮ Existence of time evolutions of non-equilibrium states in statistical mechanics ⋮ Global solution to a nonlinear integral evolution problem in particle transport theory ⋮ Asymptotic behaviour of the Boltzmann equation with infinite range forces ⋮ Intermolecular forces of infinite range and the Boltzmann equation

Cites Work

• Intermolecular forces of infinite range and the Boltzmann equation
• A non-standard representation for Brownian motion and Ito integration
• On the Boltzmann equation. II: The full initial value problem
• Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory

This page was built for publication: A non-standard approach to the Boltzmann equation