Global existence and decay of solutions for soft potentials to the Fokker-Planck-Boltzmann equation without cut-off

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:486

Article

Wang, Hao¹ 

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

关键词: Fokker-Planck-Boltzmann equation;    Energy method;    Non cut-off;    Time decay;   

DOI  :  10.1016/j.jmaa.2020.123947

来源: Elsevier

【 摘 要 】

This paper is concerned with the large-time behavior of classical solutions near a given global Maxwellian to the Cauchy problem of the Fokker-Planck-Boltzmann equation for non-cutoff soft potentials. Our analysis is based on the coercivity of the Fokker-Planck operator and elementary weighted energy method. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free