Convergence of the Vlasov–Poisson–Boltzmann System to the Incompressible Euler Equations
Convergence of the Vlasov–Poisson–Boltzmann System to the Incompressible Euler Equations
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DOI：
10.1007/s10114-005-0774-3
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发表时间：
2007-04
期刊：
影响因子：
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通讯作者：
L. Hsiao;Fu-cai Li;Shu Wang
中科院分区：
文献类型：
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作者：
L. Hsiao;Fu-cai Li;Shu Wang
在这篇文章中，我们建立了Vlasov-Poisson-Boltzmann系统在所谓的准中性区收敛到不可压缩的Euler方程。对于不可压缩流体的欧拉方程存在光滑解的时间区间，严格证明了其收敛性质。这一证明依赖于相对熵方法。
In this paper we establish the convergence of the Vlasov–Poisson–Boltzmann system to the incompressible Euler equations in the so–called quasi–neutral regime. The convergence is rigorously proved for time intervals on which the smooth solution of the Euler equations of the incompressible fluid exists. The proof relies on the relative–entropy method.