The combined non-relativistic and quasi-neutral limit of two-fluid Euler–Maxwell equations

被引：0
作者：
Yachun Li
Yue-Jun Peng
Shuai Xi
机构：
[1] Shanghai Jiao Tong University,Department of Mathematics, MOE
[2] Shanghai Jiao Tong University,LSC, and SHL
[3] CNRS UMR 6620 Université Blaise Pascal (Clermont-Ferrand 2),MAC
[4] Shanghai Jiao Tong University,Department of Mathematics and MOE
来源：
Zeitschrift für angewandte Mathematik und Physik | 2015年 / 66卷
关键词：
35B40; 35L60; 35Q35; Two-fluid Euler–Maxwell system; The combined non-relativistic and quasi-neutral limit; Compressible Euler equations; The asymptotic expansions;
D O I：
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中图分类号：
学科分类号：
摘要：
We consider two-fluid Euler–Maxwell equations for magnetized plasmas composed of electrons and ions. By using the method of asymptotic expansions, we analyze the combined non-relativistic and quasi-neutral limit for periodic problems with well-prepared initial data. It is shown that the small parameter problems have a unique solution existing in a finite time interval where the corresponding limit problems (compressible Euler equations) have smooth solutions. The proof is based on energy estimates for symmetrizable hyperbolic equations and on the exploration of the coupling between the Euler equations and the Maxwell equations.
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页码：3249 / 3265
页数：16
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