Enhanced dissipation, hypoellipticity for passive scalar equations with fractional dissipation

Siming He

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arXiv · 2103.07906

Enhanced dissipation, hypoellipticity for passive scalar equations with fractional dissipation

Siming He

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Abstract

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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Siming He. 2021-03-14. Enhanced dissipation, hypoellipticity for passive scalar equations with fractional dissipation. https://arxiv.org/abs/2103.07906

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