Asymptotic Limits of the Full Compressible Magnetohydrodynamic Equations
Asymptotic Limits of the Full Compressible Magnetohydrodynamic Equations
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DOI：
10.1137/130913390
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发表时间：
2013-09
期刊：
影响因子：
--
通讯作者：
Q. Ju;Fucai Li;Yong Li
中科院分区：
文献类型：
--
作者：
Q. Ju;Fucai Li;Yong Li
本文研究了全空间可压缩磁流体力学(MHD)方程的渐近极限，该方程是由N-S-F-F系统和控制磁场行为的麦克斯韦方程耦合而成的。严格证明了对于一般的初始数据，当马赫数、粘性系数、导热系数和磁扩散系数同时趋于零时，完全可压缩MHD方程的弱解收敛到理想不可压缩MHD方程的强解。此外，还得到了收敛速度。
The paper deals with the asymptotic limits of the full compressible magnetohydrodynamic (MHD) equations in the whole space $\mathbb{R}^3$ which are the coupling between the Navier--Stokes--Fourier system with the Maxwell equations governing the behavior of the magnetic field. It is rigorously shown that for the general initial data, the weak solutions of the full compressible MHD equations converge to the strong solution of the ideal incompressible MHD equations as the Mach number, the viscosity coefficients, the heat conductivity, and the magnetic diffusion coefficient go to zero simultaneously. Furthermore, the convergence rates are also obtained.