About this role
This PhD project will investigate partial differential equations arising from kinetic models, with a particular focus on variational methods. The research will explore 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 project aims to develop rigorous mathematical tools for understanding the connection between microscopic particle dynamics and macroscopic continuum descriptions.
Funding notes:
For UK and EU candidates: Funding may be available through a college or EPSRC scholarship in competition with all other PhD applications; The scholarship will cover tuition fees, training support, and a stipend at standard rates for 3-3.5 years; Early applications are strongly recommended; deadline for scholarship applications is midday UK time on 31st January (annually); however, late applications may also be considered; Strong candidates are encouraged to make an informal inquiry. For non-UK/non-EU candidates: Strong self-funded applicants will be considered; Exceptionally strong candidates in this category may be awarded a tuition fee waiver (for up to 3 years) in competition with all other PhD applications. For Chinese candidates: The China Scholarship Council (CSC) Scholarship: https://www.csc.edu.cn/chuguo China Scholarship Council (CSC) PhD Scholarships Programme at the University of Birmingham: https://www.birmingham.ac.uk/funding/postgraduate/china-scholarship-council-university-of-birmingham-phd-scholarships.aspx PhD Placements and Supervisor Mobility Grants China-UK: https://www.britishcouncil.cn/en/programmes/education/higher/opportunities/phd