Global Existence and Convergence Rates of Smooth Solutions for the 3-D Compressible Magnetohydrodynamic Equations Without Heat Conductivity |
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Authors: | Zhensheng GAO Zhong TAN Guochun WU |
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Institution: | 1. School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China;2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China |
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Abstract: | In this paper, we are concerned with the global existence and convergence rates of the smooth solutions for the compressible magnetohydrodynamic equations without heat conductivity, which is a hyperbolic-parabolic system. The global solutions are obtained by combining the local existence and a priori estimates if H3-norm of the initial perturbation around a constant states is small enough and its L1-norm is bounded. A priori decay-in-time estimates on the pressure, velocity and magnetic field are used to get the uniform bound of entropy. Moreover, the optimal convergence rates are also obtained. |
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Keywords: | magnetohydrodynamics optimal convergence rate decay-in-time estimates |
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