Quasi-modes and dynamics of vortices in two dimensions

Start date

1 October 2024


3.5 years

Application deadline

Funding source

UKRI and/or University of Surrey

Funding information

We are offering the UKRI standard stipend (currently £18,622 per year) with an additional bursary of £1,700 per year for full 3.5 years for exceptional candidates. In addition, a research, training and support grant of £3,000 over the project is also offered. Full home or overseas tuition fees (as applicable) will be covered.


This project examines both the linear and nonlinear evolution of a two-dimensional axisymmetric vortex with a radial density strati cation. These vortices will be perturbed by axisymmetric vorticity perturbations, and by using linear stability analysis we can examine the existence of a critical layer within such vortices. In particular we are interested in critical layer positions which give a resonant response for the perturbation. These linear calculations will be supplemented by nonlinear simulations of the system under various forcing scenarios in order to identify when nonlinear structures persist for large times, or when the vortex returns to an axisymmetric state.

Eligibility criteria

Open to both UK and international candidates.

Up to 30% of our UKRI-funded studentships can be awarded to candidates paying international rate fees. Find out more about eligibility.

You will need to meet the minimum entry requirements for our Mathematics PhD programme.

How to apply

Applications should be submitted via the Mathematics PhD programme page. In place of a research proposal, you should upload a document stating the title of the project that you wish to apply for and the name of the relevant supervisor.

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Application deadline

Contact details

Matthew Turner
36 AA 04
Telephone: +44 (0)1483 686183
E-mail: m.turner@surrey.ac.uk

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