# American Institute of Mathematical Sciences

February  2019, 12(1): 243-267. doi: 10.3934/krm.2019011

## Time-splitting methods to solve the Hall-MHD systems with Lévy noises

 1 School of Mathematical Sciences, Xiamen University, Xiamen 361005, China 2 College of Mathematics and Statistics, Chongqing University, Chongqing 400044, China

* Corresponding author: Yucong Wang

Received  March 2017 Revised  March 2018 Published  July 2018

Fund Project: Z. Tan and Y.C. Wang is supported by the National Natural Science Foundation of China No. 11271305, 11531010. H. Wang is supported by National Postdoctoral Program for Innovative Talents No. BX201600020.

In this paper, we establish the existence of a martingale solution to the stochastic incompressible Hall-MHD systems with Lévy noises in a bounded domain. The proof is based on a new method, i.e., the time splitting method and the stochastic compactness method.

Citation: Zhong Tan, Huaqiao Wang, Yucong Wang. Time-splitting methods to solve the Hall-MHD systems with Lévy noises. Kinetic & Related Models, 2019, 12 (1) : 243-267. doi: 10.3934/krm.2019011
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