May  2008, 7(3): 579-589. doi: 10.3934/cpaa.2008.7.579

Combined quasineutral and inviscid limit of the Vlasov-Poisson-Fokker-Planck system

1. 

Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China

2. 

Department of Mathematics, Nanjing University, Nanjing 210093, China

3. 

College of Applied Sciences, Beijing University of Technology, PingLeYuan100, Chaoyang District, Beijing 100022, China

Received  April 2007 Revised  October 2007 Published  February 2008

The combined quasineutral and inviscid limit for the Vlasov-Poisson-Fokker-Planck (VPFP) system is rigorously derived in this paper. It is shown that the solution of VPFP system converges to the solution of incompressible Euler equations with damping. The proof of convergence result is based on compactness arguments and the so-called relative-entropy method.
Citation: Ling Hsiao, Fucai Li, Shu Wang. Combined quasineutral and inviscid limit of the Vlasov-Poisson-Fokker-Planck system. Communications on Pure & Applied Analysis, 2008, 7 (3) : 579-589. doi: 10.3934/cpaa.2008.7.579
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