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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.
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
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
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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