Global mild solutions to three-dimensional magnetohydrodynamic system in Morrey spaces
Abstract
In this article, the Cauchy problem of three-dimensional (3-D) incompressible magnetohydrodynamic system was investigated. If the initial M1,1 norms of the vorticity ω and the current density j are both sufficiently small, then some uniform estimates with respect to time for the coupling terms between the fluid and the magnetic field can be established, which lead to a global-in-time well-posedness of mild solutions in Morrey spaces via some effective arguments.
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