top of page

Selected Publications

2024

D.J. Hill, "The role of spatial dimension in the emergence of localised radial patterns from a Turing instability" (2024), preprint

J.J. Bramburger, D.J. Hill & D.J.B. Lloyd, "Localized Multi-Dimensional Patterns" (2024), preprint

M.D. Groves & D.J. Hill, "On function spaces for radial functions" (2024), preprint

D.J. Hill & D.J.B. Lloyd, "Radial amplitude equations for fully localised planar patterns" (2024), preprint

D.J. Hill, "Predicting the emergence of localised dihedral patterns in models for dryland vegetation", J. Nonlinear Sci. 34, 67 (2024), doipreprint

D.J. Hill, J.J. Bramburger & D.J.B. Lloyd, "Dihedral rings of patterns emerging from a Turing instability", Nonlinearity, (2024), doipreprint

2023

D.J. Hill, J.J. Bramburger & D.J.B. Lloyd, "Approximate localised dihedral patterns near a Turing instability", Nonlinearity, (2023), doipreprint

2022

D.J. Hill, "Existence of localised radial patterns in a model for dryland vegetation", IMA J. Appl. Math. (2022), doipreprint

2021

D.J. Hill, D.J.B. Lloyd & M.R. Turner, "Localised radial patterns on the free surface of a ferrofluid", J. Nonlinear Sci 31, 79 (2021), doipreprint

2021

2017

D.J. Hill, "3D incompressible Navier-Stokes equations in a thin spherical shell", MMath Thesis, pdf

bottom of page