Sub-exponential mixing of generalized cellular flows with bounded palenstrophy | Zendy

Gianluca Crippa | Zendy; Christian Schulze | Zendy

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Sub-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.

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