Selected Publications
2024
D.J. Hill, J.J. Bramburger & D.J.B. Lloyd, "Dihedral rings of patterns emerging from a Turing instability", Nonlinearity, (2024), doi, preprint
2023
D.J. Hill, "Predicting the emergence of localised dihedral patterns in models for dryland vegetation", (2023), preprint
D.J. Hill, J.J. Bramburger & D.J.B. Lloyd, "Approximate localised dihedral patterns near a Turing instability", Nonlinearity, (2023), doi, preprint
2022
D.J. Hill, "Existence of localised radial patterns in a model for dryland vegetation", IMA J. Appl. Math. (2022), doi, preprint
2021
2021
D.J. Hill, "Existence of small amplitude localised patterns on the surface of a ferrofluid", Doctoral Thesis, pdf
2017
D.J. Hill, "3D incompressible Navier-Stokes equations in a thin spherical shell", MMath Thesis, pdf