Gamma-convergence for Ginzburg-Landau functional with degenerate 3-well potential in one dimension |
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| Authors: | Andrija Raguž |
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| Institution: | Zagreb School of Economics and Management, Department of Mathematics and Statistics, Jordanovac 110, 10 000 Zagreb, Croatia |
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| 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) |
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