Finite-time blow-up in quasilinear parabolic-elliptic chemotaxis system with nonlinear signal production
type: Item
instance of: scholarly article
title: Finite-time blow-up in quasilinear parabolic-elliptic chemotaxis system with nonlinear signal production
zbMATH Open document ID: 1429.35035
author: Yan Li
published in: Journal of Mathematical Analysis and Applications
publication date: 2019-10-04T00:00:00Z
review text: The author studies a parabolic-elliptic system of chemotaxis with nonlinear diffusion and and nonlinear production of chemoattractant in bounded smooth domains of \(\mathbb{R}^n\), \(n\ge 1\). Conditions on nonlinearities are given that lead either to global-in-time existence of bounded solutions or to finite time blow-up of solutions for some initial data.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35K51
zbMATH DE Number: 7113567
zbMATH Keywords: nonlinear diffusion
zbMATH Keywords: nonlinear signal production
MaRDI profile type: Publication
full work available at URL: j.jmaa.2019.123376
OpenAlex ID: W2964994739
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Wikidata QID: Q127409399
DOI: 10.1016/J.JMAA.2019.123376
description: scientific article