PhD Studentship: Analysis of Partial Differential Equations

Overview

The School of Mathematics at the University of Birmingham is offering a PhD studentship in the analysis of partial differential equations. The project examines equations arising from kinetic models, with a focus on variational methods. It will study how variational structures, energy principles and gradient-flow techniques can be used to analyse the existence, regularity, stability and long-time behaviour of solutions to kinetic PDEs. The aim is to develop rigorous mathematical tools for understanding the link between microscopic particle dynamics and macroscopic continuum descriptions.

What you get

For UK and EU candidates, funding may be available through a college or EPSRC scholarship in competition with all other PhD applications. The scholarship covers tuition fees, training support and a stipend at standard rates for 3 to 3.5 years.

Who can apply

For non-UK and non-EU candidates, strong self-funded applicants will be considered, and exceptionally strong candidates may be awarded a tuition fee waiver for up to three years in competition with all other PhD applications. Chinese candidates can also look at the China Scholarship Council scholarships, including the CSC PhD Scholarships Programme at the University of Birmingham and the China-UK PhD placements and supervisor mobility grants.

How to apply

Early applications are strongly recommended, and strong candidates are encouraged to make an informal enquiry. The annual deadline for scholarship applications is midday UK time on 31 January, although late applications may also be considered.

Key dates

The closing date for this listing is 24 October 2026.