Ginzburg–Landau functionals and renormalized energy: A revised Γ-convergence approach

We give short and self-contained proofs of Γ-convergence results for Ginzburg–Landau energy functionals in two dimensions, in the logarithmic energetic regime. In particular, we derive the renormalized energy by Γ-convergence.

Saved in:
Bibliographic Details
Published in:Journal of functional analysis 2014-04, Vol.266 (8), p.4890-4907
Main Authors: Alicandro, Roberto, Ponsiglione, Marcello
Format: Article
Language:English
Subjects:
Calculus of variations
Ginzburg–Landau theory
Topological singularities
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We give short and self-contained proofs of Γ-convergence results for Ginzburg–Landau energy functionals in two dimensions, in the logarithmic energetic regime. In particular, we derive the renormalized energy by Γ-convergence.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2014.01.024