Gamma‐convergence for Ginzburg‐Landau functional with degenerate 3‐well potential in one dimension
Andrija Raguž · PAMM · 2013
Abstract We consider the Ginzburg‐Landau functional in one dimension, endowed with epsilon‐dependent 3‐well potential which degenerates as small parameter epsilon tends to zero. By using the approach in G. Alberti, S. Muller: A new approach to variational problems with multiple scales, Comm. Pure Appl. Math. 54, 761‐825 (2001), we obtain Gamma‐convergence as small parameter epsilon tends to zero. We also recover the underlying geometric properties shared by all minimizing sequences. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)