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Nonlinear wave patterns
Check out our current research projects in nonlinear wave patterns.
Research leads
![Thomas J Bridges profile image](/sites/default/files/styles/image_150x150_scale_and_crop/public/2024-03/thomas-bridges.jpg?itok=EhFt-hmB)
Professor Tom Bridges
Professor in Geometric Mechanics and Lagrangian Fluid Dynamics
![David J.B. Lloyd profile image](/sites/default/files/styles/image_150x150_scale_and_crop/public/2024-06/Staff_profile_pic_0.jpg?itok=MsRIH-K1)
Professor David Lloyd
Professor in Localised Pattern Formation and Mathematical Modelling
![Matthew Turner profile image](/sites/default/files/styles/image_150x150_scale_and_crop/public/2018-01/Dr%20Matt%20Turner-4970.jpg?itok=KitmwoId)
Dr Matthew Turner
Reader in Fluid Dynamics
Wave fronts and nonlinear patterns (phase dynamics and Whitham modulation theory)
![Sea wave starting to crash](/sites/default/files/styles/400xauto/public/2022-05/wave-fronts-and-nonlinear-patterns-sea-water-media.jpg?itok=Zo2I7LZs)
Whitham modulation theory and its generalisations. Deriving new universal model equations and applying them to water waves. Recent work led by Tom Bridges involves deriving a generalised two-way Boussinesq equation to model the Benjamin-Feir instability transition in shallow water hydrodynamics.
Nonlinear patterns
![Ferrofluid close-up](/sites/default/files/styles/400xauto/public/2022-05/ferrofluid-close-up-nonlinear-wave-patterns-media.jpg?itok=u7i10DCa)
David Lloyd and Matthew Turner are investigating the range of localised cellular structures in binary fluid convection using radial centre-manifold techniques. The local centre-manifold reduction has been shown to work by identifying localised spots and rings in the ferro-fluid problem by Hill, Lloyd, and Turner (2021, J. Nonlinear Sci.). This problem was essentially two-dimensional as the localised structures formed on the surface of the fluid. The binary convection problem is a step into extending these ideas into three-dimensions.