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.
A rigorous analysis, via the Monge-Ampere equation, of the existence of classical solutions to the semigeostrophic equations with explicit Rossby number scaling
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.
Latest blog posts
Paper of Polina Vytnova on estimation of Lyapunov exponents published in CMP
The paper “Accurate bounds on Lyapunov exponents for expanding maps of the interval“, co-authored...
Professor Tomooki Yuasa visits from Tokyo Metropolitan University to work with Dorje Brody
Professor Tomooki Yuasa, an Associate Professor in the Graduate School of Management, at Tokyo Metropolitan...
Dr Matthew Turner
Head of the Nonlinear Waves and Geometric Fluid Dynamics Group
We run regular seminars throughout term discussing all aspects of nonlinear waves and geometric fluid dynamics.