Glasnik matematički, Vol. 41 No. 1, 2006.
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
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
Publication date:
24.5.2006.
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