@article{Crippa2023, 
author = {Gianluca Crippa and Christian Schulze},
title = {Sub-exponential mixing of generalized cellular flows with bounded palenstrophy},
year = {2023},
journal = {Mathematics in Engineering},
volume = {5},
number = {1},
pages = {1-12},
keywords = {mixing, continuity equation, flow of a vector field, fluid dynamics, palenstrophy},
url = {https://www.sciopen.com/article/10.3934/mine.2023006},
doi = {10.3934/mine.2023006},
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 M 3AS 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.}
}