Bifurcation and stability analysis for liquid surfaces
type: Item
instance of: scholarly article
title: Bifurcation and stability analysis for liquid surfaces
zbMATH Open document ID: 0631.76036
DOI: 10.1007/BF02017981
author: Zhengxin Jiang
author: Q.-S. Lu
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1987-01-01T00:00:00Z
review text: A more comprehensive discussion on the bifurcation problems for the shape of liquid surfaces is made in this paper. The necessary conditions for bifurcation are given, and the bifurcating solutions near bifurcation points can be obtained by perturbation technique. Finally the stability of the bifurcating states is analyzed by means of the principle of minimum potential energy.
Mathematics Subject Classification ID: 76E05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4027026
zbMATH Keywords: bifurcation problems
zbMATH Keywords: liquid surfaces
zbMATH Keywords: necessary conditions
zbMATH Keywords: perturbation technique
zbMATH Keywords: stability of the bifurcating states
zbMATH Keywords: principle of minimum potential energy
MaRDI profile type: Publication
cites work: Bifurcation from simple eigenvalues
cites work: On the stability of waves of nonlinear parabolic systems
cites work: Q3948194
cites work: Bifurcation, perturbation of simple eigenvalues, and linearized stability
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description: scientific article; zbMATH DE number 4027026