On partial diffusion and mixing without hypoellipticity
Analysis of PDEs
2025-11-10 v1
Abstract
A simple Markov process is considered involving a diffusion in one direction and a transport in a transverse direction. Quantitative mixing rate estimates are obtained with limited assumptions about the transport field, which might be highly irregular and/or highly degenerate, in particular quite far from satisfying an hypoellipticity type assumption.
Cite
@article{arxiv.2511.05280,
title = {On partial diffusion and mixing without hypoellipticity},
author = {Xu'an Dou and Delphine Salort and Didier Smets},
journal= {arXiv preprint arXiv:2511.05280},
year = {2025}
}