Incompressible Limit of the Nonisentropic Ideal Magnetohydrodynamic Equations
Incompressible Limit of the Nonisentropic Ideal Magnetohydrodynamic Equations
复制标题
DOI：
10.1137/15m102842x
复制
发表时间：
2013-01
期刊：
影响因子：
--
通讯作者：
Song Jiang;Q. Ju;Fucai Li
中科院分区：
文献类型：
--
作者：
Song Jiang;Q. Ju;Fucai Li
研究了具有一般初始数据的可压缩非等熵理想磁流体动力学方程在整个空间$\mathbb{R}^d$ （$d=2,3$）上的不可压缩极限。首先建立了经典解在与马赫数无关的时间区间上的存在性。然后，通过推导均匀先验估计，得到了不可压缩磁流体动力学方程在马赫数趋于零时解的收敛性。
We study the incompressible limit of the compressible non-isentropic ideal magnetohydrodynamic equations with general initial data in the whole space $\mathbb{R}^d$ ($d=2,3$). We first establish the existence of classic solutions on a time interval independent of the Mach number. Then, by deriving uniform a priori estimates, we obtain the convergence of the solution to that of the incompressible magnetohydrodynamic equations as the Mach number tends to zero.