3 papers
cond-mat.mtrl-sci2026
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…
math.AP2024
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…
math.AP2023
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…