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Original scientific paper

A note on calculation of asymptotic energy for Ginzburg-Landau functional with ε-dependent 1-Lipschitz penalizing term in one dimension

Andrija Raguž


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Abstract

We study asymptotic behavior of the Ginzburg-Landau functional



as ε → 0, where (gε) is a given sequence of 1-Lipschitz functions. In cases where the sequence (gε) possesses some additional properties we calculate (rescaled) minimal macroscopic energy associated to Iεgε as ε → 0. Thus we obtain partial generalization of our previous results.

Keywords

Young measures; relaxation; Ginzburg-Landau functional; Gamma convergence

Hrčak ID:

3302

URI

https://hrcak.srce.hr/3302

Publication date:

24.5.2006.

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