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

Mathematics – Analysis of PDEs

Scientific paper

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to appear in "Differential and Integral Equations"

Scientific paper

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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