On convergence to equilibrium for Kac’s caricature of a Maxwell gas

DOI10.1063/1.530787zbMath0801.76082OpenAlexW1981975714MaRDI QIDQ4296080

Ester Gabetta, Giuseppe Toscani

Publication date: 15 June 1994

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

Full work available at URL: https://doi.org/10.1063/1.530787

zbMATH Keywords

finite energyinitial valuefinite Linnik's entropy

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (6)

A Maxwellian lower bound for solutions to the Boltzmann equation ⋮ On a conjecture of mckean with application to Kac's model ⋮ Strong convergence inL^pfor a spatially homogeneous Maxwell gas with cut-off ⋮ Lower bounds for the solutions to the Kac and the boltzmann equation ⋮ The tanaka functional and exponential convergence for non cut-off molecules ⋮ Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation.

Cites Work

• Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
• Lyapunov functionals for a Maxwell gas
• Convergence towards equilibrium for a gas of Maxwellian pseudomolecules
• An inequality for a functional of probability distributions and its application to Kac's one-dimensional model of a Maxwellian gas
• Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
• The convolution inequality for entropy powers

This page was built for publication: On convergence to equilibrium for Kac’s caricature of a Maxwell gas