Advances in Differential Equations
- Adv. Differential Equations
- Volume 21, Number 11/12 (2016), 1085-1116.
Global martingale solution to the stochastic nonhomogeneous magnetohydrodynamics system
We study the three-dimensional stochastic nonhomogeneous magnetohydrodynamics system with random external forces that involve feedback, i.e., multiplicative noise, and are non-Lipschitz. We prove the existence of a global martingale solution via a semi-Galerkin approximation scheme with stochastic calculus and applications of Prokhorov's and Skorokhod's theorems. Furthermore, using de Rham's theorem for processes, we prove the existence of the pressure term.
Adv. Differential Equations, Volume 21, Number 11/12 (2016), 1085-1116.
First available in Project Euclid: 13 October 2016
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Yamazaki, Kazuo. Global martingale solution to the stochastic nonhomogeneous magnetohydrodynamics system. Adv. Differential Equations 21 (2016), no. 11/12, 1085--1116. https://projecteuclid.org/euclid.ade/1476369297