Global Smooth Ion Dynamics in the Euler-Poisson System

被引：99
|
作者：
Guo, Yan [1 ]
Pausader, Benoit [2 ]
机构：
[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA
[2] Brown Univ, Dept Math, Providence, RI 02912 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2011年 / 303卷 / 01期
基金：
美国国家科学基金会;
关键词：
GROSS-PITAEVSKII EQUATION; QUASI-NEUTRAL LIMIT; MAXWELL EQUATIONS; PLASMA-SHEATH; FLOWS; SINGULARITIES; PARAPRODUCTS;
D O I：
10.1007/s00220-011-1193-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页码：89 / 125
页数：37
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