This studentship is jointly funded by EPSRC and the School of Mathematical & Physical Science, University of Sussex.
The Project in detail:
Evolution equations with an underlying gradient flow structure have since long been of special interest in analysis and mathematical physics. Apart from their relevance in applications, these equations are of great interest in mathematical analysis, since the behaviour of their solutions is typically much richer than that of the well-studied second order nonlinear diffusion processes. Despite many advances in the study of existence, regularity and long-time behaviour, fundamental questions on qualitative properties of the solutions to higher-order equations remain open.
When it comes to solve equations of gradient flow type numerically, efficient schemes that respect the equation’s special structure are of particular interest. We aim to continue our work in this field and derive novel numerical methods for higher-order nonlinear partial differential equations. We will analyse and implement the novel methods to solve higher-order partial differential equations with applications in mathematical imaging (e.g., image impairing and image denoising) and semiconductor device simulation (e.g. for fluid type models with quantum effects).
We hold collaborations with a number of UK and international experts in the area.
The project will be supervised by Dr Bertram Düring (b.during@sussex.ac.uk).
A Research Training Support Grant is available for additional training and visits to conferences.
The successful applicant will be expected to undertake 60 hours per year teaching undergraduate students in the Department of Mathematics, as a condition of the award.
Award amount
£13726 tax-free maintenance bursary plus UK/EU fees waived for 3.5 years.
Eligibility
Due to funding restrictions, only UK and EU residents are eligible.
UK residents are eligible for full awards, including fees and maintenance.
EU residents are eligible for awards covering fees only, but EU students who have studied in the UK for the previous three years may be eligible for a full award. For a precise statement of eligibility, please consult this EPSRC web page:
http://www.epsrc.ac.uk/skills/students/help/Pages/eligibility.aspx
Applicants must have (or expect to receive) a first class honours degree or MSc in Mathematics, or equivalent qualifications. The ideal candidate will be experienced in numerical methods and analysis for partial differential equations.
How to Apply
Apply through the Sussex on-line postgraduate application system via the Apply button below.
In the Other Information/Funding Section state that you are applying for “The PhD studentship on Higher Order non-linear PDEs with Dr Bertram Düring”.
Send an email to Dr Bertram Düring (b.during@sussex.ac.uk) to confirm that you have applied on-line for this award.
Timetable
We would prefer the successful applicant to start January or May 2014. The very last date we can consider applications is 1st September 2014 for a late September start. Early application is advised because the studentship will be awarded as soon as a suitable candidate is found.
Contact details
Informal enquiries should be sent to Dr Bertram Düring, b.during@sussex.ac.uk .
Profile page: http://www.maths.sussex.ac.uk/Staff/BD/