PhD Studentship: Analysis of partial differential equations
University of Birmingham
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 descr...
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 descr...
Opportunity details
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
Eligibility
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
Requirements
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
Funding and benefits
Funding eligibility: UK Students, EU Students, International Students. 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
How to apply
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.
Open the official application information
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Benefits
Funding eligibility: UK Students, EU Students, International Students. 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
Eligibility summary
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
Requirements
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
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