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

TL;DR

This paper proves the existence of global strong solutions for the 3D magnetohydrodynamic system in exterior domains with small initial data and analyzes their long-term behavior.

Contribution

It establishes a new existence theorem for global strong solutions in exterior domains, extending previous results to more complex geometries.

Findings

Existence of global strong solutions for small initial data

Asymptotic behavior of solutions as time approaches infinity

Extension of MHD solution theory to exterior domains

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.