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Regularization by transport noise for 3D MHD equations

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 نشر من قبل Dejun Luo
 تاريخ النشر 2021
  مجال البحث
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 تأليف 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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