The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data
The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data
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DOI：
10.1016/j.jde.2009.02.019
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发表时间：
2009-05
期刊：
影响因子：
--
通讯作者：
Q. Ju;Fucai Li;Hai-liang Li
中科院分区：
文献类型：
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作者：
Q. Ju;Fucai Li;Hai-liang Li
本文严格证明了具有热传导的可压缩Navier-Stokes-Poisson方程组的拟中性极限。证明了当Debye长度趋于零时，可压缩Navier-Stokes-Poisson方程组的解强收敛于不可压缩Navier-Stokes方程组的强解加上一个快速奇异振荡梯度向量场项.此外，如果德拜长度，粘性系数和导热系数独立地趋于零，我们得到不可压缩的欧拉方程。在这两种情况下的收敛速度。
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.