RIGOROUS DERIVATION OF INCOMPRESSIBLE e-MHD EQUATIONS FROM COMPRESSIBLE EULER-MAXWELL EQUATIONS
RIGOROUS DERIVATION OF INCOMPRESSIBLE e-MHD EQUATIONS FROM COMPRESSIBLE EULER-MAXWELL EQUATIONS
复制标题
从可压缩欧拉-麦克斯韦方程严格推导不可压缩e-MHD方程
DOI：
10.1137/070686056
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发表时间：
2008-01-01
影响因子：
2
通讯作者：
Wang, Shu
中科院分区：
文献类型：
--
作者：
Peng, Yue-Jun;Wang, Shu
从可压缩欧拉-麦克斯韦方程组出发，利用拟中立区导出了不可压缩e-MHD方程。在电密度、电速度和磁场（但不一定是电场）的初始数据准备充分的假设下，通过对加权能量的研究，严格证明了环面可压缩欧拉-麦克斯韦方程解收敛于不可压缩e-MHD方程解的正确性。建立均匀先验估计的主要方法之一是利用梯度的旋度分解和麦克斯韦方程的波动型方程。
We derive incompressible e-MHD equations from compressible Euler-Maxwell equations via the quasi-neutral regime. Under the assumption that the initial data are well prepared for the electric density, electric velocity, and magnetic field (but not necessarily for the electric field), the convergence of the solutions of the compressible Euler-Maxwell equations in a torus to the solutions of the incompressible e-MHD equations is justified rigorously by studies on a weighted energy. One of the main ingredients for establishing uniform a priori estimates is to use the curl-div decomposition of the gradient and the wave-type equations of the Maxwell equations.