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Weakly nonlinear lower-branch stability of fully developed and developing free-surface flows

Citation

Bassom, AP, Weakly nonlinear lower-branch stability of fully developed and developing free-surface flows, IMA Journal of Applied Mathematics, 42, (3) pp. 269-301. ISSN 0272-4960 (1989) [Refereed Article]

Copyright Statement

Oxford University Press 1989

DOI: doi:10.1093/imamat/42.3.269

Abstract

We examine the weakly nonlinear stability of both fully developed and of developing liquid layers. The study of these free-surface flows is more complicated than that of many other flows owing to the fully nonlinear boundary conditions present. The scalings used for the two problems follow from the work of J. S. B. Gajjar, who described their linear stability properties. We use the technique given by F. T. Smith to derive amplitude equations of the type presented by J. T. Stuart and J. Watson. Both flows are found to be supercritically stable in general and a variety of asymptotic cases are considered.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:107849
Year Published:1989
Web of Science® Times Cited:4
Deposited By:Mathematics and Physics
Deposited On:2016-03-30
Last Modified:2017-01-20
Downloads:0

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