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Fluid limit for magnetized plasmas

 

作者: Brigitte Lucquin-Desreux,  

 

期刊: Transport Theory and Statistical Physics  （Taylor Available online 1998）
卷期: Volume 27, issue 2  

页码: 99-135

 

ISSN:0041-1450

 

年代: 1998

 

DOI:10.1080/00411459808205811

 

出版商: Taylor & Francis Group

 

关键词: Gas mixture;disparate masses;plasmas;magnetic field;Fokker-Planck equation;linearized Fokker-Planck operator;Hilbert expansion;Chapman-Enskog expansion;fluid limit.

 

数据来源: Taylor

 

摘要:

We consider in this article a magnetized plasma composed of two species of particles of disparate masses. Starting with the kinetic equations for both species, a formal hydrodynamic model is derived, which consists of two coupled systems: the light particles obey diffusion equations, while the heavy ones satisfy standard Euler equations. We justify this formal limit in the context of plasmas: the collision operators are of Fokker-Planck type and the rigourous analysis is carried out for hard potentials.

 

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