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.
Stay connected
Latest blog posts
Paper of Dorje Brody on generative AI and fake news published in The Conversation
The paper “Generative AI model shows fake news has a greater influence on elections when released...
Anne Skeldon speaks at a workshop on dynamics of piecewise smooth systems in Manchester
Anne Skeldon is visiting the Department of Mathematics at the University of Manchester this week (15-16...
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.