Cutoff-type Boltzmann equations: Convergence of the solution
type: Item
instance of: scholarly article
title: Cutoff-type Boltzmann equations: Convergence of the solution
zbMATH Open document ID: 0646.60106
DOI: 10.1016/0196-8858(87)90007-8
author: René Ferland
author: Gaston Giroux
published in: Advances in Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: Using an approach similar to \textit{H. Tanaka}'s [Z. Wahrscheinlichkeitstheor. Verw. Geb. 46, 67-105 (1978; Zbl 0389.60079)] we prove the convergence toward equilibrium for general classes of models which correspond to Boltzmann equations of the cutoff type. A major step consists in showing a convex inequality involving the Kantorovich-Vasherstein metric. This requires assumptions on the interacting kernels. These assumptions are very natural from a physical point of view. In particular, our classes include models recently developed by physicists to study relaxation of closed oscillator systems.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 81P20
zbMATH DE Number: 4054776
zbMATH Keywords: Boltzmann equations
zbMATH Keywords: Kantorovich-Vasherstein metric
zbMATH Keywords: oscillator systems
MaRDI profile type: Publication
full work available at URL: 0196-8858(87)90007-8
OpenAlex ID: W1966230857
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description: scientific article; zbMATH DE number 4054776