A stochastic approach to enhanced diffusion
Analysis of PDEs
2019-11-25 v1 Probability
Fluid Dynamics
Abstract
We provide examples of initial data which saturate the enhanced diffusion rates proved for general shear flows which are H\"{o}lder regular or Lipschitz continuous with critical points, and for regular circular flows, establishing the sharpness of those results. Our proof makes use of a probabilistic interpretation of the dissipation of solutions to the advection diffusion equation.
Cite
@article{arxiv.1911.09995,
title = {A stochastic approach to enhanced diffusion},
author = {Michele Coti Zelati and Theodore D. Drivas},
journal= {arXiv preprint arXiv:1911.09995},
year = {2019}
}
Comments
17 pages, 3 figures