Symbolic computation and equation on the center manifold: Application to the Couette-Taylor problem
type: Item
instance of: scholarly article
title: Symbolic computation and equation on the center manifold: Application to the Couette-Taylor problem
zbMATH Open document ID: 0662.76129
DOI: 10.1016/0045-7930(88)90011-4
author: Y. Demay
author: P. Laure
published in: Computers and Fluids
publication date: 1988-01-01T00:00:00Z
review text: A particular case of the transition from the Couette flow to the Taylor cells is mathematically studied using the center manifold theorem. In this degenerate case, the stability of the Taylor vortex flow is calculated using fifth order terms in amplitude. We describe a method for computing these high order terms. Moreover, the numerical values are obtained with a Fortran program generated by a Macsyma program.
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4083281
zbMATH Keywords: Couette-Taylor problem
zbMATH Keywords: Couette flow
zbMATH Keywords: Taylor cells
zbMATH Keywords: center manifold theorem
zbMATH Keywords: stability
zbMATH Keywords: Taylor vortex flow
zbMATH Keywords: Macsyma program
describes a project that uses: MACSYMA
MaRDI profile type: Publication
full work available at URL: 0045-7930(88)90011-4
OpenAlex ID: W1997081126
cites work: Q3709498
cites work: On stability of Taylor vortices by fifth-order amplitude expansions
cites work: Q4725939
cites work: A simple global characterization for normal forms of singular vector fields
cites work: Q3958147
cites work: Q5627824
cites work: Primary and secondary bifurcations in the Couette-Taylor problem
cites work: Nonlinear Stability Theory
cites work: BRANCHING ANALYSIS FOR THE TAYLOR PROBLEM
description: scientific article; zbMATH DE number 4083281