Multidimensional localised patterns in fluids
In this project we would use a combination of analytical and numerical methods to investigate the emergence and properties, for example stability, of spatially localised patterns that occur on the surface of a magnetic fluid and vertically vibrated fluids.
DurationMinimum of 3 years
Full UK tuition fees and a tax-free stipend. This project is on offer in competition with a number of other projects for funding. This opportunity may be available with partial funding for overseas fees for exceptional applicants. However, funding for overseas students is limited and applicants are encouraged to find suitable funding themselves.
Spatially localised behaviour occurs in a wide range of fluid problems from water waves to convection. In this project we would use a combination of analytical and numerical methods to investigate the emergence and properties (e.g. stability) of spatially localised patterns that occur on the surface of a magnetic fluid and vertically vibrated fluids. This project would be perfect for a candidate that enjoys a mixture of nonlinear dynamical systems analysis, partial differential equations, and numerical methods.
The successful candidate will receive comprehensive research training related to all aspects of the research and opportunities to participate in conferences, workshops and seminars to develop professional skills and research network.
We are able to offer this opportunity starting in October 2021, January 2022, April 2022 or July 2022.
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.
English language requirements
IELTS minimum 6.5 or above (or equivalent) with 6.0 in each individual category