Existence of the weak solutions for the compressible magnetohydrodynamic flows driven by stochastic forcing

Boundary value problems

Junling Sun¹  Hengyan Li² 

[1] School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P.R. China;School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou, P.R. China

关键词: stochastic magnetohydrodynamics;    compressible fluid;    random driving force;   

DOI  :  10.1186/s13661-015-0335-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the existence of weak solutions for the compressible magnetohydrodynamics flows driven by stochastic external forcing. Our method is based on solving the system for each fixed representative of the random variable and applying an abstract result on the measurability of multi-valued maps.

【 授权许可】

CC BY