Bifurcation of the solution to the problem of steady traveling waves in a layer of viscous liquid on an inclined plane
type: Item
instance of: scholarly article
title: Bifurcation of the solution to the problem of steady traveling waves in a layer of viscous liquid on an inclined plane
zbMATH Open document ID: 0557.76043
DOI: 10.1007/BF01090989
published in: Fluid Dynamics
publication date: 1983-01-01T00:00:00Z
review text: An investigation is made of the values of the wave number for which a periodic solution is not unique; a bifurcation equation is derived, the number of bifurcating solutions is found, and their behavior near a bifurcation point is considered. The bifurcating solutions are continued numerically with respect to a parameter (the wave number) from the neighborhoods of the bifurcation points.
Mathematics Subject Classification ID: 76D99
zbMATH DE Number: 3889124
zbMATH Keywords: viscous liquid film
zbMATH Keywords: steady traveling waves
zbMATH Keywords: inclined plane
zbMATH Keywords: limit
zbMATH Keywords: of vanishing Reynolds number
zbMATH Keywords: periodic solution
zbMATH Keywords: bifurcation equation
author: Evgeny A. Demekhin
MaRDI profile type: Publication
cites work: Q5848416
cites work: Q5182723
Recommended article: Bifurcations of solitary waves in a flowing layer of liquid
Recommended article: Numerical bifurcation analysis of the travelling waves on a falling liquid film
Recommended article: The asymptotic solution of a nonlinear problem of wave propagation on a surface of viscous fluid
Recommended article: On waves on the surface of an unstable layer of a viscous fluid flowing down a curved surface
Recommended article: Q3751299
Recommended article: Bifurcation analysis of the travelling waves on a falling power-law fluid film
Recommended article: Hopf bifurcation in viscous incompressible flow down an inclined plane: a numerical approach
Recommended article: Hopf bifurcation in viscous incompressible flow down an inclined plane
Recommended article: Bifurcation of nonplanar travelling waves in a free boundary problem
Recommended article: Q3406760
description: scientific article; zbMATH DE number 3889124