Strong diamagnetism for the ball in three dimensions
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Publication:3087381
DOI10.3233/ASY-2010-1023zbMath1222.35194arXiv0911.4838OpenAlexW1855783124MaRDI QIDQ3087381
Søren Fournais, Mikael Persson Sundqvist
Publication date: 16 August 2011
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.4838
eigenvalue asymptoticsGinzburg-Landau functionalunit balllarge magnetic fieldsurface superconductivity
PDEs in connection with optics and electromagnetic theory (35Q60) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Statistical mechanics of superconductors (82D55) Schrödinger operator, Schrödinger equation (35J10)
Related Items (8)
Helical magnetic fields and semi-classical asymptotics of the lowest eigenvalue ⋮ 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 ⋮ The breakdown of superconductivity in the presence of magnetic steps ⋮ Lack of diamagnetism and the Little-Parks effect ⋮ Superconductivity between \(H_{C_2}\) and \(H_{C_3}\) ⋮ A uniqueness theorem for higher order anharmonic oscillators ⋮ Geometry and spectrum in 2D magnetic wells
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