Equilibria and stability of vortex clusters (BLYTHM_U26EMP)
Key Details
- Application deadline
- 31 March 2026. Project is open to Home applicants only.
- Location
- UEA
- Funding type
- Self-funded
- Start date
- 1 June 2026
- Mode of study
- Ful-time
- Programme type
- Masters by Research
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Project description
Primary supervisor - Prof Mark Blyth
A point vortex is an elementary, singular solution of the equations of inviscid fluid flow, and it is of fundamental importance for studying more complex fluids motions. Via mutually induced motion two point vortices either travel along parallel lines or co-rotate in a circular path. In either case, a change of reference frame makes the vortices stationary. The aim of this project is to investigate vortex equilibria of this type more broadly, when there are N>>2 vortices present, and allowing for complex strength, so that each singularity represents a superimposed vortex-source/sink. Both stationary (in an inertial frame) and rotating clusters will be studied. Computation of equilibria, and an analysis of their stability will both be examined in detail.
Entry requirements
The standard minimum entry requirement is 2:2 in Mathematics, Physics, Natural Sciences.
Funding
This project is offered on a self-funding basis. It is open to applicants with funding or those applying to funding sources. Details of tuition fees can be found here.
A bench fee is also payable in addition to the tuition fee to cover specialist equipment or laboratory costs required for the research. Applicants should contact the primary supervisor for further information about the fee associated with the project.
UEA Alumni 10% Scholarships - A scholarship of a 10% fee reduction is available to UEA Alumni looking to return for postgraduate study at UEA, Terms and conditions apply. For a postgraduate master’s loan, visit our Postgraduate Student Loans page for more information.