Superconductivity in domains with corners
偏微分方程分析
2009-11-13 v1 谱理论
摘要
We study the two-dimensional Ginzburg-Landau functional in a domain with corners for exterior magnetic field strengths near the critical field where the transition from the superconducting to the normal state occurs. We discuss and clarify the definition of this field and obtain a complete asymptotic expansion for it in the large regime. Furthermore, we discuss nucleation of superconductivity at the boundary.
引用
@article{arxiv.math/0702438,
title = {Superconductivity in domains with corners},
author = {V. Bonnaillie-Noël and S. Fournais},
journal= {arXiv preprint arXiv:math/0702438},
year = {2009}
}