PhD Studentship: Analysis of Partial Differential Equations

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: www.csc.edu.cn/chuguo

China Scholarship Council (CSC) PhD Scholarships Programme at the University of Birmingham: www.birmingham.ac.uk/funding/postgraduate/china-scholarship-council-university-of-birmingham-phd-scholarships.aspx

PhD Placements and Supervisor Mobility Grants China-UK: www.britishcouncil.cn/en/programmes/education/higher/opportunities/phd

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