On the calculation of coupling coefficients in amplitude equations
type: Item
instance of: scholarly article
title: On the calculation of coupling coefficients in amplitude equations
zbMATH Open document ID: 0759.65087
DOI: 10.1016/0021-9991(92)90019-U
author: Sidney Leibovich
author: Alex Mahalov
published in: Journal of Computational Physics
publication date: 1993-01-17T00:00:00Z
review text: An algebraic approach to the problem of finding coupling coefficients appearing in the amplitude equations is described. The proposed technique provides a simplification of the standard computational procedure and reduces the number of operations. Accurate calculations of the coupling coefficients in rotating pipe flows and in plane Poiseuille (channel) flows are given.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 97167
zbMATH Keywords: amplitude equations
zbMATH Keywords: Ginzburg-Landau equations
zbMATH Keywords: coupling coefficients
zbMATH Keywords: neutral eigenmode
zbMATH Keywords: linear eigenvalue problem
zbMATH Keywords: \(Q\)-\(R\) factorization
zbMATH Keywords: singular value decomposition
zbMATH Keywords: Navier-Stokes equations
reviewed by: Yuriy V. Rogovchenko
describes a project that uses: Mathematica
MaRDI profile type: Publication
cites work: A non-linear instability theory for a wave system in plane Poiseuille flow
cites work: Finite bandwidth, finite amplitude convection
cites work: Q3823708
cites work: Multiple bifurcation of rotating pipe flow
cites work: Q3721676
full work available at URL: 0021-9991(92)90019-u
OpenAlex ID: W2030240633
description: scientific article; zbMATH DE number 97167