## Domain Walls and Their Junctions

- Nov. 20, 2009

## Abstract

The study of domain walls and their junctions arise in many applications. Their appearances, such as honeycomb structures in 2D, could be deceptively simple. If the underlying variational energy driven such a structure is given simply by the surfaces area, it is then possible to describe some geometric and analytic properties of the structure via the classical minimal surfaces theory. In many applications, however, such a structure is due to the so-called stress, related to, a Bulk energy, where not much were known. In this lecture, I shall describe some recent progress on the study of Bulk-energy driven domain walls and multiple junctions.