compressible mhd equations
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scholarly journals Optimal Convergence Rates for the Strong Solutions to the Compressible MHD Equations with Potential Force

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Miao Ouyang
Keyword(s):  
Convergence Rates ◽  
Strong Solutions ◽  
Large Time Behavior ◽  
Decay Rates ◽  
Mhd Equations ◽  
Time Behavior ◽  
Potential Force ◽  
Small Initial Data ◽  
The Cauchy Problem ◽  
Compressible Mhd Equations

In this paper, the large-time behavior of solutions to the Cauchy problem for the 3D compressible MHD equations is considered with the effect of external force. We construct the global unique solution with the small initial data near the stationary profile. The optimal Lp-L2(1≤p≤2) time decay rates of the solution to the system are built in multifrequency decompositions.

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