Convergence to equilibrium of some kinetic models

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:255

Article

Tran, Minh-Binh

关键词: Goldstein-Taylor model;    Boltzmann equation;    Hard potential;    Soft potential;    Rate of convergence to equilibrium;   

DOI  :  10.1016/j.jde.2013.04.013

来源: Elsevier

【 摘 要 】

We introduce in this paper a new constructive approach to the problem of the convergence to equilibrium for a large class of kinetic equations. The idea of the approach is to prove a 'weak' coercive estimate, which implies exponential or polynomial convergence rate. Our method works very well not only for hypocoercive systems in which the coercive parts are degenerate but also for the linearized Boltzmann equation. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free