Quasineutral limit of an euler-poisson system arising from plasma physics

Quasineutral limit of an euler-poisson system arising from plasma physics
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DOI:
10.1080/03605300008821542
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发表时间:
2000-01
影响因子:
1.9
通讯作者:
S. Cordier;E. Grenier
S. Cordier;E. Grenier
中科院分区:
数学2区
文献类型:
--
作者:
S. Cordier;E. Grenier

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本文研究了等离子体物理中Euler-Poisson方程组的拟中性极限,即耦合非线性椭圆方程的非线性双曲方程组在Debye长度趋于时的极限,利用拟微分能量估计技巧证明了强解的经典极限在短时间内成立.
In this paper, we study the quasineutral limit of an Euler-Poisson system arising from plasma physics i.e. the limit when the Debye length tends to of a non linear hyperbolic system coupled with a non linear elliptic equation.The proof uses pseudodiiferential energy estimates techniques, in order to justify classical limits in small time, for strong solutions.