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DTC MATH 4 - Singular limits of elliptic and parabolic systems

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  • Full or part time
    Prof E Crooks
  • Application Deadline
    Applications accepted all year round
  • Self-Funded PhD Students Only
    Self-Funded PhD Students Only

Project Description

Singular limits of systems of nonlinear elliptic and parabolic partial differential equations (PDE) provide a powerful and deep analytical approach to studying systems of PDE that are often otherwise largely intractable. Such limits yield a rich source of deep mathematical phenomena and open questions, often involving intriguing problems with low regularity, and play an important role in applications ranging from spatial segregation in population dynamics to phase separation in materials. A major current challenge is to understand how disparate diffusivities of the system components can affect the limiting behaviour, and this project will build on exciting recent advances to tackle this issue in the context of segregation and long-time behaviour in a variety of multi-component PDE systems.

Entry requirements

Candidates must have a minimum of an upper second class honours degree or equivalent in a relevant subject, or an appropriate Master’s degree (with Merit). Informal enquiries are welcome by emailing the project supervisor.

For candidates whose first language is not English, we require IELTS 6.0 (with 5.5 in each component) or equivalent. Please visit our website for a list of acceptable English language tests. We prefer candidates to have already met the English Language requirements at the point of application, although this is not a requirement.

How to apply

Visit our webpage for details -

Please include the project ID and title in your email subject header (eg. DTC MATH xxxxxx)

Funding Notes

Student Finance England have announced plans to offer student loans for PhD level courses from September 2018 for courses at any PhD awarding university (including Swansea University). Full details are still to be confirmed. Visit our website for updated information. –

Related Subjects

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