Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Vanishing Viscosity Coefficients
Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Vanishing Viscosity Coefficients
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DOI：
10.1137/100785168
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发表时间：
2010-10
期刊：
影响因子：
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通讯作者：
Song Jiang;Q. Ju;Fucai Li
中科院分区：
文献类型：
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作者：
Song Jiang;Q. Ju;Fucai Li
本文研究了粘性系数为零的可压缩磁流体动力学方程组在全空间Rd（d = 2或3）中的不可压缩极限。严格地证明了，当马赫数、剪切粘性系数和磁扩散系数同时趋于零时，只要理想不可压磁流体力学方程存在，可压缩磁流体力学方程的弱解收敛于理想不可压磁流体力学方程的强解.
This paper is concerned with the incompressible limit of the compressible magnetohy- drodynamic equations with vanishing viscosity coefficients and general initial data in the whole space R d (d = 2 or 3). It is rigorously showed that, as the Mach number, the shear viscosity coefficient, and the magnetic diffusion coefficient simultaneously go to zero, the weak solutions of the compress- ible magnetohydrodynamic equations converge to the strong solution of the ideal incompressible magnetohydrodynamic equations as long as the latter exists.