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.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.75426 |
| Date | January 1987 |
| Creators | Melkonian, Sam |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Doctor of Philosophy (Department of Mathematics and Statistics.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 000550469, proquestno: AAINL44272, Theses scanned by UMI/ProQuest. |
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