Convergence of Compressible Euler–Maxwell Equations to Incompressible Euler Equations
Convergence of Compressible Euler–Maxwell Equations to Incompressible Euler Equations
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DOI：
10.1080/03605300701318989
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发表时间：
2008-03
影响因子：
1.9
通讯作者：
Yue-Jun Peng;Shu Wang
中科院分区：
文献类型：
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作者：
Yue-Jun Peng;Shu Wang
本文研究了可压缩欧拉-麦克斯韦方程组的拟中性和非相对论性联合极限。对于准备好的初始数据，通过渐近展开式的分析和ε-加权liapunov型泛函的谨慎使用，严格地证明了可压缩Euler - maxwell方程解对不可压缩Euler方程解的收敛性。建立关于ε的一致先验估计的一个主要因素是使用梯度的curl-div分解。
In this paper we study the combined quasineutral and non-relativistic limit of compressible Euler–Maxwell equations. For well prepared initial data the convergences of solutions of compressible Euler–Maxwell equations to the solutions of incompressible Euler equations are justified rigorously by an analysis of asymptotic expansions and a careful use of ε-weighted Liapunov-type functional. One main ingredient of establishing uniformly a priori estimates with respect to ε is to use the curl–div decomposition of the gradient.