PhD Studentship: Three-dimensional Water Waves over Topography (exchange with University of Adelaide, Australia). (BLYTHM_U18CTA)

University of East Anglia - Mathematics

Start Date: October 2018

No. of positions available: 1

Supervisor: Dr Mark Blyth

Project description: The purpose of this PhD project is to study water waves and how they interact with bottom topography. One reason for doing this is to provide a means for using surface observations (of the ocean surface, for example) to infer the shape and structure of the water-bed. Of particular interest to this project is the potential formation of localised three-dimensional waves, which decay in the far-field away from the topographic forcing. Progress will be made on this by studying solutions to the Kadomtsev-Petviashvili equation. More challenging will be the study of such structures for the fully nonlinear equations, and this will be tackled using boundary integral methods.

This studentship is part of a collaboration between the University of East Anglia and the University of Adelaide and the successful candidate will be required to study for a minimum of 18 months, at both Universities. The exact timing of the blocks of study will be agreed in consultation with both supervisors.

Secondary supervisor: Associate Professor: Ben Binder (University of Adelaide).

Informal enquiries about the project and the collaboration with the University of Adelaide are welcomed, please contact Dr Blyth at m.blyth@uea.ac.uk.

Person specification:

Acceptable first degree: Mathematics, Physics.

Standard minimum entry requirement: 2:1 or equivalent.

Funding notes: This PhD studentship is jointly funded by the University of East Anglia and the University of Adelaide for three years. Funding is available to UK/EU applicants only and comprises of payment of tuition fees and a maintenance stipend at RCUK rates.

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Type / Role:

PhD

Location(s):

South East England