Global Smooth Ion Dynamics in the Euler-Poisson System

Global Smooth Ion Dynamics in the Euler-Poisson System
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DOI:
10.1007/s00220-011-1193-1
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发表时间:
2011-04-01
影响因子:
2.4
通讯作者:
Pausader, Benoit
Pausader, Benoit
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Guo, Yan;Pausader, Benoit

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用于描述等离子体动力学的基本双流体模型是欧拉-泊松系统,其中可压缩离子和电子流体与其自洽静电力相互作用。由于电场的色散效应,Guo (Commun Math Phys 195:249-265, 1998) 构建了全局平滑电子动力学。在本文中,我们为欧拉-泊松系统中的离子动力学构造了小振幅的全局平滑无旋解。
A fundamental two-fluid model for describing dynamics of a plasma is the Euler-Poisson system, in which compressible ion and electron fluids interact with their self-consistent electrostatic force. Global smooth electron dynamics were constructed in Guo (Commun Math Phys 195:249-265, 1998) due to dispersive effect of the electric field. In this paper, we construct global smooth irrotational solutions with small amplitude for ion dynamics in the Euler-Poisson system.