Pré-Publication, Document De Travail Année : 2024

Towards an asymptotic analysis of the anisotropic Ginzburg-Landau model

Résumé

We develop a set of tools for the asymptotic analysis of minimizers of the anisotropic Ginzburg-Landau energy functional among the admissible competitors with Dirichlet boundary datum of negative degree $-D$. As a byproduct of our analysis, we prove that the energy of a minimizer is $K\ln (1/\varepsilon)+o(\ln (1/\varepsilon))$, where $K$ depends only on $D$ and the material constants that enter into the expression for the energy.

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Dates et versions

hal-04663388 , version 1 (27-07-2024)
hal-04663388 , version 2 (30-07-2024)
hal-04663388 , version 3 (12-09-2025)

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  • HAL Id : hal-04663388 , version 3

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Dmitry Golovaty, Petru Mironescu, Peter Sternberg. Towards an asymptotic analysis of the anisotropic Ginzburg-Landau model. 2024. ⟨hal-04663388v3⟩
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