QUASI-NEUTRAL LIMIT OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM

doi:10.1016/S0252-9602(11)60314-7

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (4): 1272-1280.doi: 10.1016/S0252-9602(11)60314-7

QUASI-NEUTRAL LIMIT OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM

杨秀绘

Department of Mathematics, College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

收稿日期:2009-10-23 出版日期:2011-07-20 发布日期:2011-07-20
基金资助:
This work was supported by the Science Fund for Young Scholars of Nanjing University of Aeronautics and Astronautics.

QUASI-NEUTRAL LIMIT OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM

YANG Xiu-Hui

Department of Mathematics, College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received:2009-10-23 Online:2011-07-20 Published:2011-07-20
Supported by:
This work was supported by the Science Fund for Young Scholars of Nanjing University of Aeronautics and Astronautics.

摘要/Abstract

摘要：

This paper is concerned with the quasi-neutral limit of the bipolar Navier-Stokes-Poisson system. It is rigorously proved, by introducing the new modulated energy functional and using the refined energy analysis, that the strong solutions of the bipolar Navier-Stokes-Poisson system converge to the strong solution of the compressible Navier-Stokes equations as the Debye length goes to zero. Moreover, if we let the viscous coeffi-cients and the Debye length go to zero simultaneously, then we obtain the convergence of the strong solutions of bipolar Navier-Stokes-Poisson system to the strong solution of the compressible Euler equations.

关键词: bipolar Navier-Stokes-Poisson system, compressible Navier-Stokes equa-tions, compressible Euler equations, modulated energy functional

Abstract:

Key words: bipolar Navier-Stokes-Poisson system, compressible Navier-Stokes equa-tions, compressible Euler equations, modulated energy functional

中图分类号:

76X05

杨秀绘. QUASI-NEUTRAL LIMIT OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM[J]. 数学物理学报(英文版), 2011, 31(4): 1272-1280.

YANG Xiu-Hui. QUASI-NEUTRAL LIMIT OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM[J]. Acta mathematica scientia,Series B, 2011, 31(4): 1272-1280.

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QUASI-NEUTRAL LIMIT OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM

QUASI-NEUTRAL LIMIT OF THE BIPOLAR NAVIER-STOKES-POISSON SYSTEM

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