A blow-up result for the chemotaxis system with nonlinear signal production and logistic source
type: Item
instance of: scholarly article
title: A blow-up result for the chemotaxis system with nonlinear signal production and logistic source
zbMATH Open document ID: 1467.92044
author: Hong Yi
author: Guangyu Xu
author: Pan Dai
author: Chunlai Mu
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2021-06-17T00:00:00Z
review text: A parabolic-elliptic system of chemotaxis-growth is studied in balls in \({\mathbb R}^n\). The growth term is of logistic type \(g(u)=\lambda u-\mu u^\alpha\), and the production term is \(f(u)-\frac{1}{|\Omega|}\int_\Omega f(u(x,t))dx\) with a power-like function \(f\). The authors derive a sufficient condition for blowup of radially symmetric solutions with certain well concentrated initial data. This is a generalization and an extension of results known for systems with either growth terms only or nonlinear production term only.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 7360475
zbMATH Keywords: chemotaxis
zbMATH Keywords: parabolic-elliptic system
zbMATH Keywords: logistic source
zbMATH Keywords: nonlinear signal production
zbMATH Keywords: blowup of solutions
MaRDI profile type: Publication
full work available at URL: dcdsb.2020194
OpenAlex ID: W3035393435
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DOI: 10.3934/DCDSB.2020194
description: scientific article; zbMATH DE number 7360475