Low modes regularity criterion for a chemotaxis-Navier-Stokes system
Analysis of PDEs
2018-05-22 v1
Abstract
In this paper we study the regularity problem of a three dimensional chemotaxis-Navier-Stokes system on a periodic domain. A new regularity criterion in terms of only low modes of the oxygen concentration and the fluid velocity is obtained via a wavenumber splitting approach. The result improves many existing criteria in the literature.
Keywords
Cite
@article{arxiv.1805.08117,
title = {Low modes regularity criterion for a chemotaxis-Navier-Stokes system},
author = {Mimi Dai and Han Liu},
journal= {arXiv preprint arXiv:1805.08117},
year = {2018}
}