Global existence and decay estimates for the classical solution of fractional attraction-repulsion chemotaxis system
type: Item
instance of: scholarly article
title: Global existence and decay estimates for the classical solution of fractional attraction-repulsion chemotaxis system
zbMATH Open document ID: 1486.92019
author: Kerui Jiang
author: Zhi Ling
author: Zuhan Liu
published in: Nonlinear Analysis. Real World Applications
publication date: 2022-03-14T00:00:00Z
review text: A chemotaxis model consisting of a parabolic equation with fractional diffusion and two elliptic equations for the concentrations of chemicals is studied in the whole space \(\mathbb R^n\), \(n\ge 2\). Two results on the global existence, boundedness and decay in time of solutions are proved: either when repulsion prevails over attraction or for sufficiently small initial data (and nonconstant chemotactic sensitivities).
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 7488953
zbMATH Keywords: parabolic-elliptic chemotaxis
zbMATH Keywords: attraction
zbMATH Keywords: repulsion
zbMATH Keywords: fractional diffusion
zbMATH Keywords: two chemicals
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2021.103485
OpenAlex ID: W4200351621
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DOI: 10.1016/J.NONRWA.2021.103485