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Global existence and convergence rates of smooth solutions for the compressible magnetohydrodynamic equations

✍ Scribed by Qing Chen; Zhong Tan

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
398 KB
Volume
72
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we are concerned with the global existence and convergence rates of the smooth solutions for the compressible magnetohydrodynamic equations in R 3 . 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 H 3 -framework.

Moreover, if additionally the initial data belong to L p with 1 ≀ p < 6 5 , the optimal convergence rates of the solutions in L q -norm with 2 ≀ q ≀ 6 and its spatial derivatives in L 2 -norm are obtained.

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