Global mild solutions to three-dimensional magnetohydrodynamic system in Morrey spaces
Analysis of PDEs
2020-03-25 v1
Abstract
In this article, the Cauchy problem of three-dimensional (3-D) incompressible magnetohydrodynamic system was investigated. If the initial norms of the vorticity and the current density 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.
Cite
@article{arxiv.2003.10786,
title = {Global mild solutions to three-dimensional magnetohydrodynamic system in Morrey spaces},
author = {Feng Liu and Shuai Xi and Shengguo Zhu},
journal= {arXiv preprint arXiv:2003.10786},
year = {2020}
}