Speaker
Konstantinos Zemas
Description
We discuss energy scaling laws for simplified, singularly perturbed, double-well nucleation problems confined in a half-space, for an inclusion of fixed volume. Motivated by models for boundary nucleation of a single-phase martensite inside a parental phase of austenite, our main focus in this nonlocal isoperimetric problem is how the relationship between the rank-1 direction and the orientation of the half-space influences the energy scaling with respect to the fixed volume of the inclusion. This is joint work with Antonio Tribuzio