Towards an asymptotic analysis of the anisotropic Ginzburg-Landau model

2024/06/29 by Dmitry Golovaty, Golovaty, Dmitry, Petru Mironescu +3 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Soft Condensed Matter (cond-mat.soft) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2407.00512

openalex publication_date 2024/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a set of tools for the asymptotic analysis of minimizers of the anisotropic Ginzburg-Landau functional among the admissible competitors with Dirichlet boundary datum of negative degree.

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• A priori estimates and η-compactness for anisotropic Ginzburg-Landau minimizers with tangential anchoring
• Compensation effects for anisotropic energies of two-dimensional unit vector fields

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