Prof. Sir John Ball FRS | Mathematical Institute

Prof. Sir John Ball FRS

Emeritus

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

Contact form

Personal website:

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

+44 1865 615110

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:

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

Local minimizers and planar interfaces in a phase-transition model with interfacial energy
Ball, JM; Crooks, ECM;
Calculus of Variations and Partial Differential Equations issue 3 volume 40 page 501-538 (24 January 2011)

Orientability and Energy Minimization in Liquid Crystal Models

Orientability and Energy Minimization in Liquid Crystal Models
Ball, JM; Zarnescu, A;
Archive for Rational Mechanics and Analysis volume 202 page 493-535 (2011)

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

Nematic liquid crystals: From maier-saupe to a continuum theory
Ball, JM; Majumdar, A;
Molecular Crystals and Liquid Crystals volume 525 page 1-11 (22 July 2010)

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

An analysis of non-classical austenite-martensite interfaces in CuAlNi
Ball, JM; Koumatos, K; Seiner, H;
Proceedings of the International Conference on Martensitic Transformations, ICOMAT-08 page 383-390 (1 December 2009)

A variational model allowing both smooth and sharp phase boundaries in solids

A variational model allowing both smooth and sharp phase boundaries in solids
Ball, JM; Mora-Corral, C;
Communications on Pure and Applied Analysis issue 1 volume 8 page 55-81 (1 January 2009)

Recent Publications:

Partial regularity and smooth topology-preserving approximations of rough domains

Partial regularity and smooth topology-preserving approximations of rough domains
Ball, JM; Zarnescu, A;
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS issue 1 volume 56 (February 2017) Full text available

Mathematics and liquid crystals

Mathematics and liquid crystals
Ball, JM;
MOLECULAR CRYSTALS AND LIQUID CRYSTALS issue 1 volume 647 page 1-27 (2017) Full text available

Liquid Crystals and Their Defects

Liquid Crystals and Their Defects
Ball, JM; Ball, JM; Feireisl, E; Otto, F;
MATHEMATICAL THERMODYNAMICS OF COMPLEX FLUIDS volume 2200 page 1-46 (2017) Full text available

Quasiconvexity at the Boundary and the Nucleation of Austenite

Quasiconvexity at the Boundary and the Nucleation of Austenite
Ball, JM; Koumatos, K;
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS issue 1 volume 219 page 89-157 (January 2016) Full text available

Quasistatic Nonlinear Viscoelasticity and Gradient Flows

Quasistatic Nonlinear Viscoelasticity and Gradient Flows
Ball, JM; Sengul, Y;
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS issue 3-4 volume 27 page 405-442 (December 2015) Full text available

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.