Localised planar patterns in a singularly perturbed Reaction Diffusion system

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.

Supervisor: Professor Gianne Derks

This is a minimum 3 year project. We are able to offer this opportunity starting in April 2023. Later start dates may be possible.

Entry requirements

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 Academic 6.5 or above (or equivalent) with 6.0 in each individual category.

How to apply

Applications should be submitted via the Mathematics PhD programme page on the "Apply" tab.

Please state clearly the studentship project at you would like to apply for.