Sub-exponential mixing of generalized cellular flows with bounded palenstrophy

Published 12 Aug 2021 in math.AP | (2108.05578v2)

Abstract: We study the mixing properties of a passive scalar advected by an incompressible flow. We consider a class of cellular flows (more general than the class in [Crippa-Schulze M3AS 2017]) and show that, under the constraint that the palenstrophy is bounded uniformly in time, the mixing scale of the passive scalar cannot decay exponentially.

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