PhD studentship: Localised Patterns on the Surface of a magnetic fluid

University of Surrey

Supervisors: Dr David Lloyd & Dr Matt Turner

Funding: Competition Funded Project (Students Worldwide)

Project description:This project will look at extending the recent results of DJB Lloyd, et al.. J. Fluid Mechanics (783), 283-305 (2015): http://journals.cambridge.org/repo_A10KknL1.XJlhQ to explain the shallow layer effect on the formation of patches seen in the magnetised experiments of ferro fluids. This project would be suitable for a student who has an interest in Applied and Computational Mathematics. The project will require an interesting mix of analysis (dynamical systems, PDEs, Fluid Mechanics) and numerical skills (Matlab) to explain some of the mysteries of the experiments.

As a PhD student in the Department of Mathematics you will work as part of a vibrant and supportive community of early career researchers who exchange ideas and collaborate with each other and the mathematical community. You will be extensively trained for a career as a professional mathematician, which will set you on the right track for a future in academia, industry or government.

During your PhD you will also receive a comprehensive training in transferable skills such as project management, communication and time management through our Faculty Graduate School. In addition, you will broaden your mathematical horizons by taking courses via national networks such as the national MAGIC consortia as well as our own in-house MSc programme.

Applicants should have a minimum of a first class honours degree in mathematics, the physical sciences or engineering. Preferably applicants will hold a MMath, MPhys or MSc degree, though exceptional BSc students will be considered.

Funding notes: The Faculty has a number of fully funded PhD studentships for UK and EU nationals who can demonstrate the appropriate residency requirements. These studentships will include the tuition fees and a tax-free stipend. The Department has also a few scholarships for partial funding for overseas fees. However, funding for overseas students is limited and overseas students are encouraged to find suitable funding themselves.

References: DJB Lloyd, C Gollwitzer, I Rehberg, and R Richter, Homoclinic snaking near the surface instability of a polarizable fluid. J. Fluid Mechanics (783), 283-305 (2015)

Application enquiries: Dr Matt TurnerMaths-phd@surrey.ac.uk

Subject areas: Applied Mathematics, Mathematics

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Type / Role:

PhD

Location(s):

South East England