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arXiv · 2003.10786

Global mild solutions to three-dimensional magnetohydrodynamic system in Morrey spaces

Feng Liu·Shuai Xi·Shengguo Zhu
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Abstract

In this article, the Cauchy problem of three-dimensional (3-D) incompressible magnetohydrodynamic system was investigated. If the initial $\mathcal{M}^{1,1}$ norms of the vorticity $\omega$ 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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Feng Liu, Shuai Xi, Shengguo Zhu. 2020-03-24. Global mild solutions to three-dimensional magnetohydrodynamic system in Morrey spaces. https://arxiv.org/abs/2003.10786

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