Towards an asymptotic analysis of the anisotropic Ginzburg-Landau model
Dmitry Golovaty, Petru Mironescu, Peter Sternberg
TL;DR
This paper introduces new analytical tools to study the long-term behavior of minimizers in the anisotropic Ginzburg-Landau model, focusing on boundary conditions with negative degree.
Contribution
It provides the first asymptotic analysis framework for anisotropic Ginzburg-Landau minimizers with specific boundary conditions.
Findings
Development of analytical tools for asymptotic analysis
Application to anisotropic Ginzburg-Landau minimizers
Insights into boundary condition effects on minimizers
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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Taxonomy
TopicsQuantum chaos and dynamical systems · Spectral Theory in Mathematical Physics · Nonlinear Dynamics and Pattern Formation