SUPERCONDUCTIVITY IN DOMAINS WITH CORNERS

DOI10.1142/S0129055X07003061zbMath1144.82078arXivmath/0702438OpenAlexW3103981337MaRDI QIDQ5386916

Søren Fournais, Virginie Bonnaillie-Noël

Publication date: 14 May 2008

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702438

zbMATH Keywords

asymptotic expansionGinzburg-Landau equationscritical fielddomain with corners

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Statistical mechanics of superconductors (82D55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (25)

The Faraday effect revisited: thermodynamic limit ⋮ On the transition to the normal phase for superconductors surrounded by normal conductors ⋮ The density of superconductivity in domains with corners ⋮ Decay of superconductivity away from the magnetic zero set ⋮ Spectral asymptotics for magnetic Schrödinger operators in domains with corners ⋮ A 3D-Schrödinger operator under magnetic steps with semiclassical applications ⋮ On the bound states of magnetic Laplacians on wedges ⋮ Non-monotonicity of the first eigenvalue for the 3D magnetic Robin Laplacian ⋮ Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential ⋮ Peak power in the 3D magnetic Schrödinger equation ⋮ Surface superconductivity in presence of corners ⋮ Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg-Landau model ⋮ Magnetic steps on the threshold of the normal state ⋮ The distribution of superconductivity near a magnetic barrier ⋮ The breakdown of superconductivity in the presence of magnetic steps ⋮ Effects of corners in surface superconductivity ⋮ Almost flat angles in surface superconductivity ⋮ Surface effects in superconductors with corners ⋮ Eigenstates of the Neumann magnetic Laplacian with vanishing magnetic field ⋮ The influence of magnetic steps on bulk superconductivity ⋮ On the semiclassical Laplacian with magnetic field having self-intersecting zero set ⋮ The model magnetic Laplacian on wedges ⋮ Breakdown of superconductivity in a magnetic field with self-intersecting zero set ⋮ On the Ginzburg‐Landau critical field in three dimensions ⋮ Magnetic Neumann Laplacian on a sharp cone

Cites Work

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