Work

Asymptotics for minimizers of the Ginzburg–Landau energy with optimal regularity of the boundary data and applications

Year: 2025

Type: article

Abstract: We perform the classical asymptotic analysis for the Ginzburg–Landau energy which originates from the celebrated paper by Bethuel, Brezis, Hélein for nonsmooth boundary data. More precisely, we give optimal regularity assumptions on the boundary curve of planar domains and Dirichlet boundary data on them. When the Dirichlet boundary data is the tangent vector field of the boundary curve, our framework allows us to define a natural energy minimizing frame for simply connected domains enclosing Weil–Petersson curves.

Source: Annales de la faculté des sciences de Toulouse Mathématiques

DOI: 10.5802/afst.1799

Authors: Paul Laurain, Romain Petrides

Institutions: Université Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409765289

FWCI:

Cites: 46

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Related to: 10