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Enhanced Dissipation via the Malliavin Calculus

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arxiv 2405.12787 v1 pith:JE6NBYK3 submitted 2024-05-21 math.AP math.PR

David Villringer This is my paper
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keywords dissipationenhancedcalculusmalliavinallowsargumentbedrossianconcise
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In this work we investigate the phenomenon of enhanced dissipation using techniques from the Malliavin Calculus. In particular, we construct a concise, elementary argument, that allows us to recover the well-known enhanced dissipation timescale for shear flows, first obtained by Bedrossian and Coti Zelati in 2017, as well as the precise hypoelliptic regularisation in x.

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  1. A Stochastic RAGE Theorem and Enhanced Dissipation for Transport Noise

    math.AP 2025-07 conditional novelty 8.0 of 10

    A necessary and sufficient condition for enhanced dissipation under transport noise is the absence of non-trivial finite-dimensional invariant subspaces, with sharp rates for stochastic shear flows.

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