Taylor--Couette problem and related topics
type: Item
instance of: scholarly article
title: Taylor--Couette problem and related topics
zbMATH Open document ID: 1025.37030
DOI: 10.1016/S1468-1218(02)00076-7
author: Zalman Balanov
author: Wieslaw Krawcewicz
author: Bindhyachal Rai
published in: Nonlinear Analysis. Real World Applications
publication date: 2003-05-22T00:00:00Z
review text: This paper presents an application of the \(O(2)\times S^1\)-equivariant degree to study the Hopf bifurcation problem for a model of the Taylor-Couette flow, for which the authors compute \(O(2)\times S^1\) bifurcation invariants and provide a classification of symmetries and as its result periodic solutions. The authors believe that the method presented here can be applied exactly in the same way to other types of equations, including functional parabolic differential equations with finite or infinite delay or neutral parabolic differential equations.
Mathematics Subject Classification ID: 37G40
Mathematics Subject Classification ID: 37N10
Mathematics Subject Classification ID: 76E07
Mathematics Subject Classification ID: 37C80
Mathematics Subject Classification ID: 76U05
zbMATH DE Number: 1915314
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: Taylor-Couette flow
zbMATH Keywords: infinite delay
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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full work available at URL: s1468-1218(02)00076-7
OpenAlex ID: W2049018789
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description: scientific article; zbMATH DE number 1915314