Bifurcation in a spherical reaction-diffusion system with imposed gradient
type: Item
instance of: scholarly article
title: Bifurcation in a spherical reaction-diffusion system with imposed gradient
zbMATH Open document ID: 0707.58039
DOI: 10.1016/0167-2789(90)90150-N
author: Axel Hunding
author: M. Brøns
published in: Physica D
publication date: 1990-01-01T00:00:00Z
review text: Bifurcation of steady states is studied for the system \(\partial \Phi /\partial t=\) \((D+\eta D')H\Phi +F(\Phi)+\alpha G(\Phi)\), where D, \(D'\) are (p\(\times p)\)-matrices, H is a self-adjoint operator on a Hilbert space X of functions on a d-dimensional domain, \(\Phi\) is a given function, \(\Phi \in X^ p\) and \(\eta\), \(\alpha\) are real parameters. The branching of solutions from a homogeneous state in the three-sphere is investigated, where H is a Laplacian, \(\Phi\) is a certain gradient, and F, G nonlinear functions describing some biochemical processes.
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 58J65
Mathematics Subject Classification ID: 92B05
zbMATH DE Number: 4161732
zbMATH Keywords: diffusion system
zbMATH Keywords: Bifurcation
reviewed by: J. Kolomý
MaRDI profile type: Publication
Wikidata QID: Q61634794
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description: scientific article; zbMATH DE number 4161732