Effects of corners in surface superconductivity
نویسندگان
چکیده
We study the Ginzburg-Landau functional describing an extreme type-II superconductor wire with cross section finitely many corners at boundary. derive ground state energy asymptotics up to $ o(1) errors in surface superconductivity regime, i.e., between second and third critical fields. show that, compared case of smooth domains, each corner provides additional contribution order \mathcal{O}(1) depending on opening angle. The is turn obtained from implicit model problem infinite wedge-like domain fixed magnetic field. also prove that such auxiliary well-posed its bounded and, finally, a conjecture about explicit dependence angle sector.
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2021
ISSN: ['0944-2669', '1432-0835']
DOI: https://doi.org/10.1007/s00526-021-02101-7