Open AccessSub-exponential mixing of generalized cellular flows with bounded palenstrophy
Author(s) -
Gianluca Crippa,
Christian Schulze
Publication year - 2022
Publication title -
mathematics in engineering
Language(s) - English
Resource type - Journals
ISSN - 2640-3501
DOI - 10.3934/mine.2023006
Subject(s) - bounded function , mixing (physics) , scalar (mathematics) , mathematics , constraint (computer aided design) , exponential function , exponential growth , compressibility , mathematical analysis , physics , mathematical physics , mechanics , geometry , quantum mechanics
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 M$ ^3 $AS 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.