Order and chaos in systems of two and three coaxial vortex pairs
Mavroyiakoumou, C Shi, W Physica D: Nonlinear Phenomena volume 481 134767-134767 (Nov 2025)
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What is the best way to run to win a race? Why does a sprinter slow down before the finish line? Why do you swim better slightly underwater? Why, on a bike, the faster you go, the more stable you are? Join us for the answers at this Oxford Mathematics Public Lecture - Thursday 25 September, 5-6pm, Andrew Wiles Building, Mathematical Institute, Oxford.
Localized patterns
Bramburger, J Hill, D Lloyd, D SIAM Review
Predicting the Emergence of Localised Dihedral Patterns in Models for Dryland Vegetation
Hill, D Journal of Nonlinear Science volume 34 issue 4 (25 Aug 2024)
The role of spatial dimension in the emergence of localized radial patterns from a Turing instability
Hill, D Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 480 issue 2304 (11 Dec 2024)
Existence of localized radial patterns in a model for dryland vegetation
Hill, D IMA Journal of Applied Mathematics volume 87 issue 3 315-353 (02 Aug 2022)
Radial Amplitude Equations for Fully Localized Planar Patterns
Hill, D Lloyd, D SIAM Journal on Applied Mathematics volume 84 issue 6 2590-2611 (31 Dec 2024)
Dihedral rings of patterns emerging from a Turing bifurcation
Hill, D Bramburger, J Lloyd, D Nonlinearity volume 37 issue 3 035015-035015 (01 Mar 2024)
Localised Radial Patterns on the Free Surface of a Ferrofluid
Hill, D Lloyd, D Turner, M Journal of Nonlinear Science volume 31 issue 5 (24 Oct 2021)
Approximate localised dihedral patterns near a turing instability
Hill, D Bramburger, J Lloyd, D Nonlinearity volume 36 issue 5 2567-2630 (01 May 2023)
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