Large time behavior of solution to an attraction-repulsion chemotaxis system with logistic source in three dimensions
type: Item
instance of: scholarly article
title: Large time behavior of solution to an attraction-repulsion chemotaxis system with logistic source in three dimensions
zbMATH Open document ID: 1366.35071
author: Dan Li
author: Ke Lin
author: Liangchen Wang
author: Chunlai Mu
published in: Journal of Mathematical Analysis and Applications
publication date: 2016-12-23T00:00:00Z
review text: The authors consider the non-homogeneous quasilinear diffusion-transport problem in a convex bounded smooth domain in \(\mathbb R^3\). Boundary conditions are Neumann homogeneous. The source function \(f(u)=u(1-\mu u^\gamma)\), \(\gamma\geq1\), \(\mu>0\), depends on one unknown function. Global existence and asymptotic stability of a unique bounded solution are proven under assumption that initial distributions are from \(W^{1,\infty}\) and some inequalities for parameters hold. Also, convergence of the solution to the steady state in \(L^\infty\) is shown.
reviewed by: Ilya A. Chernov
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 6668543
zbMATH Keywords: chemotaxis
zbMATH Keywords: attraction-repulsion
zbMATH Keywords: global existence
zbMATH Keywords: uniqueness
zbMATH Keywords: boundedness
zbMATH Keywords: logistic source
zbMATH Keywords: asymptotic behaviour
MaRDI profile type: Publication
full work available at URL: j.jmaa.2016.11.036
OpenAlex ID: W2549917786
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DOI: 10.1016/J.JMAA.2016.11.036
description: scientific article; zbMATH DE number 6668543