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University of East Anglia

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PhD Studentship in Nonlinear Waves on Liquid Cylinders University of East Anglia in United Kingdom

Degree Level

PhD

Field of study

Mathematics

Funding

The project is offered on a self-funded basis; funding amount is not specified. Applicants are responsible for tuition fees and an additional bench fee for specialist equipment and laboratory facilities. UEA alumni may be eligible for a tuition fee discount.

Deadline

Nov 30, 2026

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Country

United Kingdom

University

University of East Anglia

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Keywords

Mathematics
Fluid Mechanics
Nonlinear Waves
Vorticity
Physics

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About this position

The University of East Anglia is offering a PhD project on nonlinear waves on liquid cylinders, with applications of mathematical and numerical techniques to fluid mechanics and interfacial flows.

The research begins with inviscid liquid jets subject to surface tension in the absence of gravity. These systems exhibit the classical Rayleigh–Plateau instability under long-wave perturbations. When vorticity and swirl are included, theoretical work has identified nonlinear travelling-wave solutions whose detailed properties remain to be explored.

The PhD researcher will develop computational methods to calculate and characterize these wave solutions, with particular emphasis on solitary waves and their stability. The project will also consider related configurations, including ferrofluid jets with vorticity and swirl. The resulting mathematical and numerical techniques will support a deeper understanding of nonlinear wave phenomena and contribute to the broader theory of interfacial flows.

The project is supervised by Professor Mark Blyth at the University of East Anglia in Norwich, United Kingdom.

Funding details

The project is offered on a self-funded basis; funding amount is not specified. Applicants are responsible for tuition fees and an additional bench fee for specialist equipment and laboratory facilities. UEA alumni may be eligible for a tuition fee discount.

What's required

Minimum entry requirement is a 2:1 degree in mathematics or physics. Applicants may study full-time or part-time and must be self-funded or be in the process of securing external funding.

How to apply

Review the project details and apply through the jobs.ac.uk application page. Contact Professor Mark Blyth for details of the applicable bench fee and project enquiries.

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