DTC MATH 15 - Analysis of stochastic evolution equations - investigation of random field solutions of partial differential equations perturbed by random noises

This PhD project will investigate random field solutions of parabolic partial differential equations perturbed by random noises, including stochastic heat equations and parabolic Anderson models as prototype examples. Analysis of partial differential equations perturbed by random noises is a very hot topic in probability and statistics with deep links to diverse disciplines that range from applied mathematics, statistical mechanics, and theoretical physics, to theoretical neuroscience, theory of complex chemical reactions (including polymer science), fluid dynamics, as well as mathematical finance. The project is suitable for a student who has a solid foundation in probability theory and functional analysis, with a moderate knowledge of partial differential equations.

Entry requirements

Candidates must have a minimum of an upper second class honours degree or equivalent in a relevant subject, or an appropriate Master’s degree (with Merit). Informal enquiries are welcome by emailing the project supervisor.

For candidates whose first language is not English, we require IELTS 6.0 (with 5.5 in each component) or equivalent. Please visit our website for a list of acceptable English language tests. We prefer candidates to have already met the English Language requirements at the point of application, although this is not a requirement.

How to apply

Visit our webpage for details - http://www.swansea.ac.uk/science/research/dtc/biosciences-projects-2018-19/

Please include the project ID and title in your email subject header (eg. DTC MATH xxxxxx)