Global well-posedness for the 2D incompressible four-component chemotaxis-Navier-Stokes equations
type: Item
instance of: scholarly article
title: Global well-posedness for the 2D incompressible four-component chemotaxis-Navier-Stokes equations
zbMATH Open document ID: 1442.35204
author: Qian Zhang
author: Peiguang Wang
published in: Journal of Differential Equations
publication date: 2020-04-22T00:00:00Z
review text: This paper is concerned with a coupled chemotaxis-Navier-Stokes system in two dimensional space. The authors first consider a regularized problem, by Fourier localization technique, they prove the existence of global smooth solution of the regularized problem. Then using some uniform energy estimates and some discussion on compactness, the authors prove the global existence of weak solutions. And then the uniqueness of weak solutions is also established.
reviewed by: Chunhua Jin
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 92C17
zbMATH DE Number: 7191490
zbMATH Keywords: chemotaxis equations
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: global well-posedness
MaRDI profile type: Publication
full work available at URL: j.jde.2020.01.019
OpenAlex ID: W3001285501
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Wikidata QID: Q126317563
DOI: 10.1016/J.JDE.2020.01.019
description: scientific article; zbMATH DE number 7191490