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Selected Publications

2024

D.J. Hill, "The role of spatial dimension in the emergence of localised radial patterns from a Turing instability", Proc. R. Soc. A. 480 (2024), doipreprint

J.J. Bramburger, D.J. Hill & D.J.B. Lloyd, "Localized Multi-Dimensional Patterns", to appear in SIAM Review (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", SIAM J. Appl. Math. 84, 6 (2024), doipreprint

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

Contact
Information

Department of Mathematics

Saarland University

Germany

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©2021 by Dan J Hill.

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