engleski

Gamma-convergence for Ginzburg-Landau functional with degenerate 3-well potential in one dimensional

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.

Gamma-convergence, Young measures, relaxation

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