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

Zhong Tan, Huaqiao Wang, Yucong Wang
2019 Kinetic and Related Models  
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. 2010 Mathematics Subject Classification. Primary: 35Q35, 60H15, 76N10.
doi:10.3934/krm.2019011 fatcat:lu4c5pm6dfajlkr4xukktykopu