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Nonlinear waves on thin films and related phenomena

This thesis is composed of two parts, the first of which treats nonlinear three-dimensional flow of a thin viscous liquid layer down an inclined plane. Isotropic length-scales along the plane have been employed previously in the derivation of equations governing the free surface; a limiting case is shown herein to possess obliquely interacting 2-solitons as exact solutions. A governing equation based on anisotropic length-scales is also derived; in the dispersive limit, this equation is solved exactly, and the long-wave limit is considered both analytically and numerically. / The second part of this thesis consists of two other nonlinear studies. In the first, equations are derived governing the evolution of long waves and wave packets in a model boundary layer. In the second, an equation which has been employed previously in studies of the stability characteristics of unbounded parallel flows is shown to exhibit subcritical instability.

Identiferoai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.75426
Date January 1987
CreatorsMelkonian, Sam
PublisherMcGill University
Source SetsLibrary and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada
LanguageEnglish
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Formatapplication/pdf
CoverageDoctor of Philosophy (Department of Mathematics and Statistics.)
RightsAll items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated.
Relationalephsysno: 000550469, proquestno: AAINL44272, Theses scanned by UMI/ProQuest.

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