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Liapunov functionals and large-time-asymptotics of mean-field nonlinear Fokker-Planck equations

 

作者: Anton Arnold,   LuisL. Bonilla,   PeterA. Markowich,  

 

期刊: Transport Theory and Statistical Physics  （Taylor Available online 1996）
卷期: Volume 25, issue 7  

页码: 733-751

 

ISSN:0041-1450

 

年代: 1996

 

DOI:10.1080/00411459608203544

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Large-time asymptotics of the solutions of time-dependent mean-field nonlinear Fokker-Planck systems are analyzed by exploiting the properties of Liapunov functionals (relative entropies). We first discuss the scalar Desai-Zwanzig model and then generalize the techniques to a general class of mean-field oscillator equations.

 

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