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PhD Studentship in Applied Analysis of Partial Differential Equations

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  • Full or part time
    Dr J Meyer
  • Application Deadline
    No more applications being accepted
  • Competition Funded PhD Project (European/UK Students Only)
    Competition Funded PhD Project (European/UK Students Only)

Project Description

The project concerns well-posedness of boundary value problems for second order nonlinear parabolic partial differential equations (PDEs). It will focus on concrete problems which highlight features of ill-posedness via non-existence of solutions stemming from the low regularity of terms in the PDE. Specific classes of PDEs to be considered in the project include inhomogeneous diffusion equations, reaction diffusion equations, and forced viscous Burgers equations, amongst others. Systems of PDEs of the above class, as well as others, may be considered too. This project will primarily involve rigorous mathematical analysis but formal approximations may be required.

Entry requirements:
We are looking for an enthusiastic and motivated graduate with:
- a 1st class degree in Mathematics, preferably at the MMath/MSc level, or equivalent;
- a solid background in analysis of PDEs;
- familiarity with numerical analysis of PDEs and ability to write simple associated algorithms in MATLAB or c++;
- good communication skills (oral and written).

Informal inquiries should be directed to Dr John Meyer, e-mail: [Email Address Removed]

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 application is strongly recommended;
the application procedure and deadlines are advertised at https://www.birmingham.ac.uk/schools/mathematics/phd/phd-programme.aspx
strong UK/EU 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.

Related Subjects

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FTE Category A staff submitted: 40.00

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