Strong solutions to the incompressible magnetohydrodynamic equations with vacuum
Strong solutions to the incompressible magnetohydrodynamic equations with vacuum
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DOI：
10.1016/j.camwa.2011.03.033
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发表时间：
2011-05
期刊：
影响因子：
--
通讯作者：
Hongwei Wu
中科院分区：
文献类型：
--
作者：
Hongwei Wu
本文考虑系数依赖于密度和温度的不可压缩磁流体动力学方程。对于满足自然相容性条件的所有初始数据，我们证明了唯一局部强解的存在性。初始密度不一定是正的，在开集中可能为零。
We consider the incompressible magnetohydrodynamic (MHD) equations with the coefficients depending on the density and temperature. We prove the existence of unique local strong solutions for all initial data satisfying a natural compatibility condition. The initial density need not be positive and may vanish in an open set.