FROM VLASOV-POISSON SYSTEM TO THE INCOMPRESSIBLE EULER SYSTEM
FROM VLASOV-POISSON SYSTEM TO THE INCOMPRESSIBLE EULER SYSTEM
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DOI：
10.1081/pde-100107463
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发表时间：
2001-08
影响因子：
1.9
通讯作者：
N. Masmoudi
中科院分区：
文献类型：
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作者：
N. Masmoudi
本文致力于证明Vlasov-Poisson系统在所谓的冷电子准中性区域中收敛于不可压缩欧拉方程。收敛是全球的时间和一般的初始数据，只要一个强的解决方案的欧拉系统是已知存在的。这一研究推广了Y. Brenier [1]，其中处理了“准备充分”的初始数据。
This paper is devoted to the proof of the convergence of the Vlasov-Poisson system to the incompressible Euler equations in the so-called quasi-neutral regime for cold electrons. The convergence is global in time and for general initial data as long as a strong solution for the Euler system is known to exist. This investigation extends the results of Y. Brenier [1] where the case of “well-prepared” initial data was handled.