Existence and Uniqueness of the Local Smooth Solution to 3D Stochastic MHD Equations without Diffusion
Existence and Uniqueness of the Local Smooth Solution to 3D Stochastic MHD Equations without Diffusion
In this paper, we consider the existence of local smooth solution to stochastic magneto-hydrodynamic equations without diffusion forced by additive noise in R 3 . We first transform the system into a random system via a simple change of variable and borrow the result obtained for classical magneto-hydrodynamic equations, then …