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Global existence and convergence rates of smooth solutions for the compressible magnetohydrodynamic equations
Authors:Qing Chen  Zhong Tan
Affiliation:School of Mathematical Sciences, Xiamen University, Fujian 361005, China
Abstract:
In this paper, we are concerned with the global existence and convergence rates of the smooth solutions for the compressible magnetohydrodynamic equations in R3. We prove the global existence of the smooth solutions by the standard energy method under the condition that the initial data are close to the constant equilibrium state in H3-framework. Moreover, if additionally the initial data belong to Lp with View the MathML source, the optimal convergence rates of the solutions in Lq-norm with 2≤q≤6 and its spatial derivatives in L2-norm are obtained.
Keywords:76W05   35Q35   35D05   76X05
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