On the global existence and finite time blow-up of shadow systems
type: Item
instance of: scholarly article
title: On the global existence and finite time blow-up of shadow systems
zbMATH Open document ID: 1203.35049
author: N. E. Zubov
published in: Journal of Differential Equations
publication date: 2009-09-28T00:00:00Z
review text: Shadow systems are often used to approximate reaction-diffusion systems when one of the diffusion rates is large. However, the results of the paper indicate that there are serious discrepancies between the dynamics of shadow systems and their original reaction-diffusion systems even as the fundamental aspects, global existence and finite-time blow-up, are concerned.
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 5608026
zbMATH Keywords: Gierer-Meinhardt system
zbMATH Keywords: global existence
reviewed by: Marek Fila
MaRDI profile type: Publication
full work available at URL: j.jde.2009.04.009
OpenAlex ID: W2063762850
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DOI: 10.1016/J.JDE.2009.04.009
description: scientific article; zbMATH DE number 5608026