Overview
Context of Extensions of the Alber equation and statistical modulation instability analysis for crossing seas is offered at University of Dundee
It
Modulation instability was first discovered as the linear instability of plane-wave solutions to nonlinear equations, but realistic problems demand a more flexible framework. In that context, the Alber equation was introduced as a stochastic moment system, providing a framework for the statistical analysis for the stability of a homogeneous wave-field. Alber equations have several novel features, and their rigorous study is only now reaching maturity, with several questions still open.
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- Moreover, the classical Alber equation only covers quasi-unidirectional problems, excluding in particular crossing seas (wave systems arriving to the same area from different directions), which have recently been identified as crucial settings for the appearance of rogue waves. In this project, an extended two-dimensional Alber equation, including crossing seas, will be derived and studied.
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Visit programme websiteKey information
Duration
- Full-time
- 36 months
Start dates & application deadlines
- StartingApplication deadline not specified.
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Disciplines
Mathematics Applied Mathematics General Engineering & Technology View 24 other PhDs in Applied Mathematics in United KingdomExplore more key information
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Other requirements
General requirements
- You should have an honours degree at 2.1 or above, and/or a Masters degree in a relevant discipline.
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Visit programme websiteTuition Fee
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International
25305 GBP/yearTuition FeeBased on the tuition of 25305 GBP per year during 36 months. -
National
4825 GBP/yearTuition FeeBased on the tuition of 4825 GBP per year during 36 months.
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Scholarships Information
Below you will find PhD's scholarship opportunities for Extensions of the Alber equation and statistical modulation instability analysis for crossing seas.
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