Bounds on the rate of enhanced dissipation
Analysis of PDEs
2022-11-24 v3
Abstract
We are concerned with flow enhanced mixing of passive scalars in the presence of diffusion. Under the assumption that the velocity gradient is suitably integrable, we provide upper bounds on the exponential rates of enhanced dissipation. Recent constructions indicate the optimality of our results.
Keywords
Cite
@article{arxiv.2003.08794,
title = {Bounds on the rate of enhanced dissipation},
author = {Christian Seis},
journal= {arXiv preprint arXiv:2003.08794},
year = {2022}
}
Comments
Accepted version