Regularization by transport noise for 3D MHD equations

Abstract

We consider the problem of regularization by noise for the three dimensional magnetohydrodynamical (3D MHD) equations. It is shown that, in a suitable scaling limit, multiplicative noise of transport type gives rise to bounds on the vorticity fields of the fluid velocity and magnetic fields. As a result, if the noise intensity is big enough, then the stochastic 3D MHD equations admit a pathwise unique global solution for large initial data, with high probability.

23 pages

References in corpus (2)

• Global L_2-solutions of stochastic Navier-Stokes equations
• Noise Prevents Singularities in Linear Transport Equations

Cited by in corpus (5)

• Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise
• Global existence and non-uniqueness for the Cauchy problem associated to 3D Navier-Stokes equations perturbed by transport noise
• Enhanced dissipation for stochastic Navier-Stokes equations with transport noise
• On the Boussinesq hypothesis for a stochastic Proudman-Taylor model
• Well posedness and limit theorems for a class of stochastic dyadic models