Funded PhD Studentship: DTC MATH 44 - Analysis of stochastic evolution equations: field solutions of parabolic partial differential equations perturbed by random noises

Swansea University is a UK top 30 institution for research excellence (Research Excellence Framework 2014), and has been named Welsh University of the Year 2017 by The Times and Sunday Times Good University Guide.

Swansea Science DTC is a community committed to undertaking world-class research that has a positive impact globally and we have a fully-funded PhD scholarship for 2017/2018 entry.

Swansea Mathematics is rated as one of the Top 25 mathematics departments in the UK, and are within the top third in the world (QS World University Rankings 2015).

The Department of Mathematics places a strong emphasis on developing graduate employability and this is evidenced by the fact that 94% of our graduates are in full-time employment or further study within six months of graduating. Graduates have been employed by a wide range of organisations including: AXA, BA, Deutsche Bank, Shell Research, Health Authorities, Zurich Financial Services, Local Government and others.

Description:

In 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 nosies 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.