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On an existence theorem of global strong solution to the magnetohydrodynamic system in three dimensional exterior domain

Norikazu Yamaguchi

math.AParXiv:math/0605265

Abstract

In this paper we study the initial-boundary value problem for the magnetohydrodynamic system in three dimensional exterior domain. We show an existence theorem of global in time strong solution for small initial data and we also show its asymptotic behavior when time goes to infinity.

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