Well-posedness of the stochastic magnetohydrodynamics (MHD) systems

Abstract

Magnetohydrodynamics (MHD) describes the dynamics of electrically conducting fluids, such as plasmas and liquid metals, under the influence of magnetic fields. In this talk, I will present recent progress on the stochastic MHD equations in a bounded domain, perturbed by spatially smooth, multiplicative Gaussian noise. We establish the existence and uniqueness of a pathwise strong solution, which is global in two spatial dimensions. This work is part of a broader effort to understand the regularity properties of stochastic MHD systems, with a view toward rigorous numerical analysis.

Based on joint work in progress with Ben Goldys and Thanh Tran.