Selected Publications
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), doi, preprint
D.J. Hill, "Existence of localised radial patterns in a model for dryland vegetation", IMA J. Appl. Math. (2022), doi, preprint
D.J. Hill, J.J. Bramburger & D.J.B. Lloyd, "Approximate localised dihedral patterns near a Turing instability", (2021), preprint
In Preparation
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