Reaction-diffusion systems with skew-gradient structure
type: Item
instance of: scholarly article
title: Reaction-diffusion systems with skew-gradient structure
zbMATH Open document ID: 1011.35071
author: Eiji Yanagida
published in: Methods and Applications of Analysis
publication date: 2003-05-26T00:00:00Z
review text: The author discusses stability of steady states for the skew-gradient systems showing the development within this field. He considers pulse solutions (on \(\mathbb{R}^1\)) together with a criterion for the instability of a standing pulse. Equivalent condition for Eckhaus instability is also presented. In the case of bounded domains ``a relation between the stability properites of the steady state and mini-maximizing properties for some functional'' is shown.
Mathematics Subject Classification ID: 35K50
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 1827623
zbMATH Keywords: stationary solutions
zbMATH Keywords: Eckhaus instability
zbMATH Keywords: pulse solutions
zbMATH Keywords: standing pulse
reviewed by: Jan W. Cholewa
MaRDI profile type: Publication
full work available at URL: maa.2001.v8.n2.a1
OpenAlex ID: W4300911743
DOI: 10.4310/MAA.2001.V8.N2.A1
description: scientific article; zbMATH DE number 1827623