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Enhanced dissipation, hypoellipticity for passive scalar equations with fractional dissipation

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 نشر من قبل Siming He
 تاريخ النشر 2021
  مجال البحث
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 تأليف Siming He




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We consider the passive scalar equations subject to shear flow advection and fractional dissipation. The enhanced dissipation estimates are derived. For classical passive scalar equation ($gamma=1$), our result agrees with the sharp one obtained in cite{Wei18}

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