Analyticity and dynamics of a Navier-Stokes-Keller-Segel system on bounded domains
type: Item
instance of: scholarly article
title: Analyticity and dynamics of a Navier-Stokes-Keller-Segel system on bounded domains
zbMATH Open document ID: 1383.35043
author: Vincent R. Martinez
author: Kun Zhao
published in: Dynamics of Partial Differential Equations
publication date: 2018-01-09T00:00:00Z
review text: The Keller-Segel equations for chemotaxis coupled with the Navier-Stokes equations and supplemented with relevant boundary conditions are studied as a model of chemotaxis-fluid flow interaction. The authors prove the instantaneous analytic regularization effect of solutions for some classes of initial data. Then, the asymptotic stability of equilibria corresponding to no-flow boundary conditions is proved.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 92C45
Mathematics Subject Classification ID: 35K51
zbMATH DE Number: 6823419
zbMATH Keywords: Gevrey regularity
zbMATH Keywords: spatial analyticity
zbMATH Keywords: long-time behavior
zbMATH Keywords: instantaneous analytic regularization
MaRDI profile type: Publication
full work available at URL: dpde.2017.v14.n2.a2
OpenAlex ID: W2617867473
DOI: 10.4310/DPDE.2017.V14.N2.A2
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description: scientific article; zbMATH DE number 6823419