## Differential and Integral Equations

### On an existence theorem of global strong solutions to the magnetohydrodynamic system in three-dimensional exterior domains

Norikazu Yamaguchi

#### Abstract

In this paper we study the initial-boundary-value problem for the magnetohydrodynamic system in three-dimensional exterior domains. We show an existence theorem of global in time strong solutions for small $L^3$-initial data and we also show its asymptotic behavior when time goes to infinity.

#### Article information

Source
Differential Integral Equations, Volume 19, Number 8 (2006), 919-944.

Dates
First available in Project Euclid: 21 December 2012