87 citations · 108 across the 6 of their papers we have counts for
6 papers
Compatibility of Martensitic Microstructures in Polycrystals
John M. Ball, Myrto Galanopoulou
The paper studies martensitic microstructures in polycrystals, focussing on their compatibility across grain boundaries. After a reduction to the case of a planar grain boundary, t…
A nonlinear elasticity model in computer vision
John M. Ball, Christopher L. Horner
The purpose of this paper is to analyze a nonlinear elasticity model introduced by the authors for comparing two images, regarded as bounded open subsets of together with as…
Extension of convex functions from a hyperplane to a half-space
John M. Ball, Christopher L. Horner
It is shown that a possibly infinite-valued proper lower semicontinuous convex function on has an extension to a convex function on the half-space ${\mathbb R}^n\ti…
Axisymmetry of critical points for the Onsager functional
John M. Ball
A simple proof is given of the classical result due to Fatkullin and Slastikov (2005), Liu, Zhang and Zhang (2005) that critical points for the Onsager functional with the Maier-Sa…
Mathematics and liquid crystals
John M. Ball
A review is given of some mathematical contributions, ideas and questions concerning liquid crystals.
Quasistatic nonlinear viscoelasticity and gradient flows
John M. Ball, Yasemin Şengül
We consider the equation of motion for one-dimensional nonlinear viscoelasticity of strain-rate type under the assumption that the stored-energy function is -convex, which allow…