Global Existence of Classical Solutions and Optimal Decay Rate for Compressible Flows via the Theory of Semigroups

2018 ◽  
pp. 2085-2181 ◽  
Author(s):  
Yoshihiro Shibata ◽  
Yuko Enomoto
Keyword(s):  
Global Existence ◽  
Decay Rate ◽  
Compressible Flows ◽  
Classical Solutions ◽  
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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