Abstract
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 approxi-mation 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.
Original language | English |
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Pages (from-to) | 1085-1116 |
Number of pages | 32 |
Journal | Advances in Differential Equations |
Volume | 21 |
Issue number | 12 |
State | Published - 2016 |