On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds.
type: Item
instance of: scholarly article
title: On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds.
zbMATH Open document ID: 1034.82032
DOI: 10.1023/A:1018623930325
published in: Journal of Statistical Physics
publication date: 2000-08-09T00:00:00Z
review text: The authors prove the convergence to equilibrium with explicit rates for various kinetic equations including the Fokker-Planck equation and the Landau and Boltzmann equations with soft potentials. The tools that are used come from probability and include logarithmic Sobolev type inequalities. They can cover situations in which compactness arguments, more classical in partial differential equation analysis, do not apply.
Mathematics Subject Classification ID: 82C05
Mathematics Subject Classification ID: 82C31
Mathematics Subject Classification ID: 82C40
zbMATH DE Number: 1486430
author: G. Toscani
author: Cédric Villani
MaRDI profile type: Publication
full work available at URL: a:1018623930325
OpenAlex ID: W133732286
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description: scientific article; zbMATH DE number 1486430