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The generalized Boltzmann equation solution and exponential trend to equilibrium

 

作者: N. Bellomo,   J. Polewczak,  

 

期刊: Transport Theory and Statistical Physics  （Taylor Available online 1997）
卷期: Volume 26, issue 6  

页码: 661-677

 

ISSN:0041-1450

 

年代: 1997

 

DOI:10.1080/00411459708229329

 

出版商: Taylor & Francis Group

 

关键词: Kinetic equations;Boltzmann equation;equilibrium;stability.

 

数据来源: Taylor

 

摘要:

In the paper we consider a kinetic model that can be considered as a generalization of the Boltzmann equation. The model is formally derived from the BBGKY hierarchy for hard spheres system by introducing a variable diameter r in the domain [0,R] and then, by averaging the two-particle distribution function over this domain. For this model we prove global existence, uniqueness, and exponential convergence to equilibrium.

 

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