On partial diffusion and mixing without hypoellipticity

Fuente: arXiv
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Hauptverfasser: Dou, Xu'an, Salort, Delphine, Smets, Didier
Format: Preprint
Veröffentlicht: 2025
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author Dou, Xu'an
Salort, Delphine
Smets, Didier
author_facet Dou, Xu'an
Salort, Delphine
Smets, Didier
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_05280
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On partial diffusion and mixing without hypoellipticity
Dou, Xu'an
Salort, Delphine
Smets, Didier
Analysis of PDEs
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.
title On partial diffusion and mixing without hypoellipticity
topic Analysis of PDEs
url https://arxiv.org/abs/2511.05280