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arXiv · 1805.08117

Low modes regularity criterion for a chemotaxis-Navier-Stokes system

Mimi Dai·Han Liu
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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.

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Mimi Dai, Han Liu. 2018-05-21. Low modes regularity criterion for a chemotaxis-Navier-Stokes system. https://arxiv.org/abs/1805.08117

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