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arXiv · 2107.00190

Regularization by transport noise for 3D MHD equations

Dejun Luo
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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.

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Dejun Luo. 2021-07-01. Regularization by transport noise for 3D MHD equations. https://doi.org/10.1007/s11425-021-1981-9

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