Localised planar patterns in a singularly perturbed Reaction Diffusion system

In this project we will investigate 2D patterns in a reaction-diffusion system modelled by partial differential equations near the limit where the diffusion of one variable goes to zero, that leads to planar patterns with sharp transitions.

Start date
Ongoing
Duration
Minimum of 3 years
Application deadline
Ongoing
Funding information

Full UK tuition fees and a tax-free stipend. This project is on offer in competition with a number of other projects for funding. This opportunity may be available with partial funding for overseas fees for exceptional applicants. However, funding for overseas students is limited and applicants are encouraged to find suitable funding themselves.

About

Planar patterns that involve sharp spatial transitions occur in a wide range of applications from vegetation to chemical reaction networks. In this project we will investigate 2D patterns in a reaction-diffusion system modelled by partial differential equations near the limit where the diffusion of one variable goes to zero, that leads to planar patterns with sharp transitions. This project would be perfect for a candidate that enjoys a mixture of nonlinear dynamical systems analysis, partial differential equations, and numerical methods.

The successful candidate will receive comprehensive research training related to all aspects of the research and opportunities to participate in conferences, workshops and seminars to develop professional skills and research network.

We are able to offer this opportunity starting in October 2021, January 2022, April 2022 or July 2022.

Eligibility criteria

Applicants should have a minimum of a first class honours degree in mathematics, the physical sciences or engineering. Preferably applicants will hold a MMath, MPhys or MSc degree, though exceptional BSc students will be considered

English language requirements 

IELTS minimum 6.5 or above (or equivalent) with 6.0 in each individual category

How to apply

Applications should be submitted via the Mathematics PhD Research programme page on the "Apply" tab. Please clearly state the studentship title and supervisor on your application.

Contact details

Matthew Turner
26A AA 04
Telephone: +44 (0)1483 686183
E-mail: M.Turner@surrey.ac.uk

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