131 citations · 217 across the 16 of their papers we have counts for
4 papers · 1 filter
Partial regularity and smooth topology-preserving approximations of rough domains
John M. Ball, Arghir Zarnescu
For a bounded domain of class , the properties are studied of fields of `good directions', that is the directions with respect to which $\part…
Entropy and Convexity for Nonlinear Partial Differential Equations: Introduction
John M. Ball, Gui-Qiang G. Chen
Partial differential equations are ubiquitous in almost all applications of mathematics, where they provide a natural mathematical description of many phenomena involving change in…
Nucleation of austenite in mechanically stabilized martensite by localized heating
John M. Ball, Konstantinos Koumatos, Hanus Seiner
The nucleation of bcc austenite in a single crystal of a mechanically stabilized 2H-martensite of Cu-Al-Ni shape-memory alloy is studied. The nucleation process is induced by local…
An investigation of non-planar austenite-martensite interfaces
John M. Ball, Konstantinos Koumatos
Motivated by experimental observations on CuAlNi single crystals, we present a theoretical investigation of non-planar austenite-martensite interfaces. Our analysis is based on the…