Prof. Sir John Ball FRS

Status

Emeritus

Sedleian Professor of Natural Philosophy Director of the Oxford Centre for Nonlinear Partial Differential Equations Fellow of the Queen's College

+44 1865 615110

Contact form

http://people.maths.ox.ac.uk/ball/

Research groups

Oxford Centre for Nonlinear PDE

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Highlighted publications

On uniqueness for time harmonic anisotropic Maxwell's equations with
piecewise regular coefficients

Ball, J Capdeboscq, Y Xiao, B Math. Models Methods Appl. Sci. volume 22 1250036 (10 Jan 2012) http://arxiv.org/abs/1201.2006v1

Local minimizers and planar interfaces in a phase-transition model with interfacial energy

Ball, J Crooks, E Calculus of Variations and Partial Differential Equations volume 40 issue 3 501-538 (24 Jan 2011)

Orientability and Energy Minimization in Liquid Crystal Models

Ball, J Zarnescu, A Archive for Rational Mechanics and Analysis volume 202 493-535 (2011)

Nematic liquid crystals: From maier-saupe to a continuum theory

Ball, J Majumdar, A Molecular Crystals and Liquid Crystals volume 525 1-11 (22 Jul 2010)

An analysis of non-classical austenite-martensite interfaces in CuAlNi

Ball, J Koumatos, K Seiner, H Proceedings of the International Conference on Martensitic Transformations, ICOMAT-08 383-390 (01 Dec 2009)

Research interests

John Ball's main research areas lie in the calculus of variations, nonlinear partial differential equations, infinite-dimensional dynamical systems and their applications to nonlinear mechanics. In solid mechanics, he is especially interested in the mathematics of microstructure arising from phase transformations in solids, using models based on nonlinear elasticity, where the problem of predicting microstructure morphology is related to deep unsolved questions of the multi-dimensional calculus of variations such as understanding quasiconvexity. A more recent research interest is in the mathematics of liquid crystals.

Recent publications

A nonlinear elasticity model in computer vision

Ball, J Horner, C (30 Aug 2024) http://arxiv.org/abs/2408.17237v2

Slip and Twinning in Bravais Lattices

Ball, J Journal of Elasticity volume 155 issue 1-5 763-785 (05 Jul 2024)

Remarks on the linear wave equation

Ball, J Quarterly of Applied Mathematics volume 82 issue 2 431-448 (05 Jun 2024)

Extension of convex functions from a hyperplane to a half-space

Ball, J Horner, C Calculus of Variations and Partial Differential Equations volume 63 issue 4 107 (17 May 2024)

Extension of convex functions from a hyperplane to a half-space

Ball, J Horner, C (05 Nov 2023) http://arxiv.org/abs/2311.02671v2