Orateur
Peter Sternberg
Description
We consider the vector Allen-Cahn (Modica-Mortola) energy with a 4-well potential. The goal is to produce a stable, diffuse version of a stable, tetrahedral cone in the absence of any symmetry assumptions. This is accomplished via standard Gamma-convergence theory once we can exhibit a bounded 3D domain which is partitioned by such a cone into a locally minimizing 4 chamber configuration with respect to weighted surface area in a sufficiently weak topology. This is joint work with Abhishek Adimurthi.