Exact solution for the spatially inhomogeneous nonlinear Kac model of the Boltzmann equation

DOI10.1063/1.526526zbMath0564.35007OpenAlexW2001430812MaRDI QIDQ3678046

Henri Cornille

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526526

zbMATH Keywords

nonlinear Boltzmann equationKac modelTjon overpopulation effecthigh velocity particlesMaxwellian equilibrium solutionMaxwellian width

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Related Items (4)

Oscillating and absolute Maxwellians: Exact solutions for (d>1)-dimensional Boltzmann equations ⋮ Oscillating Maxwellians: Exact solutions for the Boltzmann equation ⋮ Recent results for the non linear Kac model ⋮ General solutions of nonlinear Ianiro–Lebowitz model equation

Cites Work

• On a class of nonintegrable equations in 1+1 dimensions with factorized associated linear operators
• Some classes of exact solutions of the nonlinear Boltzmann equation

This page was built for publication: Exact solution for the spatially inhomogeneous nonlinear Kac model of the Boltzmann equation