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Fang-Hua Lin 
2009-07-02 
15:30 - 16:30 
101 , Mathematics Research Center Building (ori. New Math. Bldg.)

The studies of domain walls and triple junctions arise in many applications. Their appearences , such as honeycomb structures in 2D, are deceptively simple. If the underlying variational energy driven such a structure is giving by the Surface 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 driven by the so-called stress, that is, the Bulk energy, then not much were known before. In this lecture, I shall describe some recent progress on the Bulk-energy driven domain walls and multiple junctions.