A note on calculation of asymptotic energy for Ginzburg-Landau functional with epsilon-dependent 1-Lipschitz penalizing term in one dimension
Andrija Raguž · Glasnik Matematicki · 2006
We study asymptotic behavior of the Ginzburg-Landau functional I (v) = Z 2 v 002 (s) + W (v 0 (s)) + a(s)(v(s) + g(s)) 2 ds as ! 0, where (g) is a given sequence of 1-Lipschitz functions. In cases where the sequence (g) possesses some additional properties we calculate (rescaled) minimal macroscopic energy associated to I g as ! 0. Thus we obtain partial generalization of our previous results.