Sub-exponential mixing of generalized cellular flows with bounded palenstrophy
Analysis of PDEs
2021-12-24 v2
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.
Cite
@article{arxiv.2108.05578,
title = {Sub-exponential mixing of generalized cellular flows with bounded palenstrophy},
author = {Gianluca Crippa and Christian Schulze},
journal= {arXiv preprint arXiv:2108.05578},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1707.01352