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Research articles

ScienceAsia 38 (2012): 394-400 |doi: 10.2306/scienceasia1513-1874.2012.38.394


The combined relaxation and non-relativistic approximation of the drift-diffusion model


Jianwei Yanga,*, Xiaoxia Yangb

 
ABSTRACT:     In this article, we study the combined relaxation and non-relativistic limit for compressible Euler-Maxwell equations for plasma. For the initial data in equilibrium, the convergences of solutions of compressible Euler-Maxwell equations to the solutions of drift-diffusion model are justified rigorously.

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a College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
b The Pilot College of Beijing University of Technology, Beijing 101101, China

* Corresponding author, E-mail: yangjianwei@ncwu.edu.cn

Received 15 Mar 2012, Accepted 30 Oct 2012