The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:247

Article

Ju, Qiangchang²  Li, Fucai¹  Li, Hailiang^3,4 

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[3] Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China

[4] Capital Normal Univ, Inst Math & Interdisciplinary Sci, Beijing 100037, Peoples R China

关键词: Navier-Stokes-Poisson system;    Incompressible Navier-Stokes equations;    Incompressible Euler equations;    Quasineutral limit;   

DOI  :  10.1016/j.jde.2009.02.019

来源: Elsevier

【 摘 要 】

The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general (ill-prepared) initial data is rigorously proved in this paper. It is proved that, as the Debye length tends to zero, the solution of the compressible Navier-Stokes-Poisson system converges strongly to the strong solution of the incompressible Navier-Stokes equations Plus a term of fast singular oscillating gradient vector fields. Moreover, if the Debye length, the viscosity coefficients and the heat conductivity coefficient independently go to zero, we obtain the incompressible Euler equations. In both cases the convergence rates are obtained. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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