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Abstract

The development of diffraction problems in oceanography, which are amenable to the Wiener-Hopf technique is set in the context of modelling physical situations in the
North sea and other oceanic regions. Two cases are considered dealing with the mechanics of Kelvin wave generation by the diffraction of cylindrical plane waves
by a semi-infinite barrier in an ocean of constant depth and also in the presence of a depth discontinuity. The significance of the double Kelvin wave regime in the context of Kelvin generation is also investigated. A third problem is presented, a half-plane problem,
which uses the diffraction of Kelvin waves by changes in depth as a means o-f illustrati^a double application of the Wiener-Hopf technique involving an extension of the
functions from the right-hand physi cal plane into the left-hand plane. The analytic sol ution is given, although no numerical results have been obtained.

The latter part of the thesis presents a complete class of separable solutions to the sine-Gordon equation and its space-like variant. Whilst no boundary conditions have been specified, it should be possible to extend the results in order to identify some of the
two-dimensional vortex flows represented.

Publication Type:	Thesis (Doctoral)
Subjects:	Q Science Q Science > QA Mathematics
Departments:	School of Science & Technology > Department of Mathematics School of Science & Technology > School of Science & Technology Doctoral Theses Doctoral Theses

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