Enhanced Dissipation via the Malliavin Calculus

2024/05/21 by Villringer, David · 3 citations
#35H10 #35Q35 #60H07 #76F10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2405.12787

Abstract

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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