Nonlinear Waves and Geometric Fluid Dynamics Group
Our group uses mathematical techniques such as asymptotic methods, reduced model analysis and numerical modelling to investigate fluid flows. We also use more geometric techniques such as geometric mechanics along with other geometries including differential, symplectic, Kähler, algebraic and discrete in order to describe various features of different flow systems.
Selected PhD theses
Take a look at past PhD theses to get an idea of the projects you could work on with us.
Applications of geometric mechanics in multi-physics hybrid models for multi-scale systems
Conservation laws, modulation and the emergence of universal forms
Dynamic coupling between fluid motion and rectilinear vessel motion in a system of connected vessels
Glacial and holocene climates reconstructed by vegetation-model inversion
Localisation and optimal mitigation of sampling error in ensemble data assimilation
Parameter estimation and inverse problems for reactive transport models in bioirrigated sediments
Symmetry and modulation: From relative periodic orbits to multi-phase patterns.
Available studentships
PhD studentships in mathematics
Funding information:
Each PhD studentship is fully-funded, including fees and a tax-free stipend, at UKRI studentship rates covered for the duration of 3 to 4 years for UK candidates. International candidates are welcome to apply but will need to cover the difference between the UK and overseas fees.Stay connected
Latest blog posts
Careers event for Early Career Researchers organised by Laura Jones and Ryan Poole
Laura Jones and Ryan Poole organised a careers event yesterday (Wednesday 20 September) for PhD students...
Carina Dunlop is an invited speaker at the London Mathematical Biology Conference held at UCL
Carina Dunlop is in London this week (18-19 September) to attend the London Mathematical Biology Conference...
Our people
Dr Matthew Turner
Head of the Nonlinear Waves and Geometric Fluid Dynamics Group

Upcoming seminars
We run regular seminars throughout term discussing all aspects of nonlinear waves and geometric fluid dynamics.