Mixing in incompressible flows: transport, dissipation, and their interplay
Analysis of PDEs
2023-08-03 v1
Abstract
In this survey, we address mixing from the point of view of partial differential equations, motivated by applications that arise in fluid dynamics. We give an account of optimal mixing, loss of regularity for transport equations, enhanced dissipation, and anomalous dissipation.
Cite
@article{arxiv.2308.00358,
title = {Mixing in incompressible flows: transport, dissipation, and their interplay},
author = {Michele Coti Zelati and Gianluca Crippa and Gautam Iyer and Anna L. Mazzucato},
journal= {arXiv preprint arXiv:2308.00358},
year = {2023}
}
Comments
Survey article, submitted to Notices of the AMS