DTC MATH 4 - Singular limits of elliptic and parabolic systems
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.
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 - http://www.swansea.ac.uk/science/research/dtc/biosciences-projects-2018-19/
Please include the project ID and title in your email subject header (eg. DTC MATH xxxxxx)
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