A new result for boundedness of solutions to a higher-dimensional quasilinear chemotaxis system with a logistic source
type: Item
instance of: scholarly article
title: A new result for boundedness of solutions to a higher-dimensional quasilinear chemotaxis system with a logistic source
zbMATH Open document ID: 1460.35359
published in: Journal of Mathematical Analysis and Applications
publication date: 2021-02-28T00:00:00Z
review text: A version of the doubly parabolic Keller-Segel system with nonlinear (but nondegenerate) diffusion and logistic source term is studied in bounded domains of \(\mathbb R^N\), \(N\ge 2\). Using a new energy-type inequality global-in-time and uniform boundedness of solutions is studied under suitable assumptions on the diffusion term.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7316096
zbMATH Keywords: chemotaxis
zbMATH Keywords: nonlinear diffusion
zbMATH Keywords: logistic reaction term
zbMATH Keywords: global existence
zbMATH Keywords: boundedness of solutions
author: Jia-ning Xie
MaRDI profile type: Publication
full work available at URL: j.jmaa.2020.124784
OpenAlex ID: W3101753578
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DOI: 10.1016/J.JMAA.2020.124784
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description: scientific article; zbMATH DE number 7316096