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.
DurationMinimum of 3 years
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.
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.
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