Global Existence and Optimal Decay Rate of the Compressible Magnetohydrodynamic Equation with Potential Force

2018 ◽  
Vol 23 (4) ◽  
pp. 309-317
Author(s):  
Lin Ye ◽  
Yeping Li
Keyword(s):  
Global Existence ◽  
Decay Rate ◽  
Potential Force ◽  
Magnetohydrodynamic Equation ◽  
Optimal Decay ◽  
Optimal Decay Rate

Optimal decay rate of classical solutions to the compressible magnetohydrodynamic equations

2011 ◽  
Vol 141 (1) ◽  
pp. 109-126 ◽  
Author(s):  
Fucai Li ◽  
Hongjun Yu
Keyword(s):  
Decay Rate ◽  
Three Dimensional ◽  
Classical Solutions ◽  
Global Classical Solution ◽  
Small Perturbations ◽  
Magnetohydrodynamic Equation ◽  
Optimal Decay ◽  
Optimal Decay Rate ◽  
Whole Space ◽  
Constant State

The three-dimensional compressible magnetohydrodynamic equation in the whole space are studied in this paper. The global classical solution is established when the initial data are small perturbations of some given constant state. Moreover, the optimal decay rate of the solution is also obtained.

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