Title

Global LN Strong Solutions to the Magneto-Hydro-Dynamics Equations in the RN Space

Document Type

Article

Publication Date

2007

Publication Title

Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis

ISSN

1918-2538

Abstract

We study the existence and uniqueness of global Ln strong solutions to the Magneto-Hydro-Dynamics (MHD) equations in the whole Rn space. Under smallness assumption on suitable norms of initial data and external force, existence and uniqueness of global Ln strong solutions are proved. Moreover, we also present some algebraic decay properties of the unique global Ln strong solution under some assumptions on both initial data and external force.

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