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

Zhong Tan; Huaqiao Wang; Yucong Wang

doi:10.3934/krm.2019011

Article Contents

2019, Volume 12, Issue 1: 243-267. Doi: 10.3934/krm.2019011

This issue Previous Article A quantum Drift-Diffusion model and its use into a hybrid strategy for strongly confined nanostructures Next Article

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
* Corresponding author: Yucong Wang

Received: February 28, 2017

Revised: February 28, 2018

Published: July 2018

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.

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Abstract

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.

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Mathematics Subject Classification: Primary: 35Q35, 60H15, 76N10.

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