# American Institute of Mathematical Sciences

November  2018, 17(6): 2329-2350. doi: 10.3934/cpaa.2018111

## Liouville theorem for MHD system and its applications

 School of Mathematic Sciences, Fudan University, Shanghai, China

Received  June 2017 Revised  February 2018 Published  June 2018

In this paper, we construct Liouville theorem for the MHD system and apply it to study the potential singularities of its weak solution. And we mainly study weak axi-symmetric solutions of MHD system in $\mathbb{R}^3× (0, T)$.

Citation: Xian-gao Liu, Xiaotao Zhang. Liouville theorem for MHD system and its applications. Communications on Pure & Applied Analysis, 2018, 17 (6) : 2329-2350. doi: 10.3934/cpaa.2018111
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