Regularization by transport noise for 3D MHD equations
Probability
2022-11-22 v1
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.
Cite
@article{arxiv.2107.00190,
title = {Regularization by transport noise for 3D MHD equations},
author = {Dejun Luo},
journal= {arXiv preprint arXiv:2107.00190},
year = {2022}
}
Comments
23 pages