Global Existence and Large Time Behavior of Strong Solutions for 3D Nonhomogeneous Heat-Conducting Magnetohydrodynamic Equations
Global Existence and Large Time Behavior of Strong Solutions for 3D Nonhomogeneous Heat-Conducting Magnetohydrodynamic Equations
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DOI：
10.1007/s12220-021-00661-w
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发表时间：
2021-03
期刊：
影响因子：
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通讯作者：
X. Zhong
中科院分区：
文献类型：
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作者：
X. Zhong
研究了有界单连通光滑域上非齐次导热磁流体动力学方程的初边值问题，速度和磁场具有Navier-slip边界条件，温度具有Neumann边界条件。我们证明了一个唯一的强解的全局存在性，只要它是适当的小。此外，我们还得到了溶液的大时间衰减率。
We are concerned with an initial boundary value problem of nonhomogeneous heat-conducting magnetohydrodynamic equations in a bounded simply connected smooth domain, with Navier-slip boundary conditions for the velocity and magnetic field and Neumann boundary condition for the temperature. We prove the global existence of a unique strong solution provided thatis suitably small. Moreover, we also obtain large time decay rates of the solution.