Event

Talk
Plateau's laws for diffused interfaces
Apostolos Damialis (FU)
16 Jul 2014, 16:45 – 17:45

We present some old and new results on the problem of deriving Plateau's laws at junctions of diffused interfaces via the vector-valued Allen--Cahn equation. We begin with the simplest case of a triple junction on the plane and present in detail a rigorous derivation in the case of triple and quadruple junctions in three-dimensional space. As a conclusion, we discuss some aspects of the related problem of deriving Plateau's laws from static balance of forces relations.