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Regularization by transport noise for 3D MHD equations

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 Added by Dejun Luo
 Publication date 2021
  fields
and research's language is English
 Authors Dejun Luo




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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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