Quasi-neutral limit of the two-fluid Euler-Poisson system

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November 2010, 9(6): 1577-1590. doi: 10.3934/cpaa.2010.9.1577

Quasi-neutral limit of the two-fluid Euler-Poisson system

Qiangchang Ju ^1, , Hailiang Li ^2, , Yong Li ^3, and Song Jiang ^1,

1.	Institute of Applied Physics and Computational Mathematics, P.O.Box 8009-28, Beijing 100088, China, China
2.	College of Mathematics, Capital Normal University, Beijing 100037, China
3.	College of Applied Science, Beijing University of Technology, Beijing 100124, China

Received January 2009 Revised June 2010 Published August 2010

Abstract
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Quasi-neutral limit of the multidimensional isentropic two-fluid Euler-Poisson system is rigorously justified. For well-prepared initial data, as the Debye length goes to zero, the convergence of the bipolar Euler-Poisson system to the compressible Euler equations is proved in the time interval where a smooth solution of the limit problem exists.

Keywords: two-fluid Euler-Poisson, Quasi-neutral limit, compressible Euler equations..

Mathematics Subject Classification: Primary: 35B40, 35C20; Secondary: 35L60, 35Q3.

Citation: Qiangchang Ju, Hailiang Li, Yong Li, Song Jiang. Quasi-neutral limit of the two-fluid Euler-Poisson system. Communications on Pure & Applied Analysis, 2010, 9 (6) : 1577-1590. doi: 10.3934/cpaa.2010.9.1577

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