Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential

DOI10.1016/j.jfa.2020.108718zbMath1455.82010arXiv1909.05223OpenAlexW3047252611MaRDI QIDQ2197801

Ayman Kachmar, Xing-Bin Pan

Publication date: 1 September 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05223

zbMATH Keywords

Schrödinger operatorsGinzburg-Landau modelAharonov-Bohm potentiallittle-parks effectmagnetic stepstransition to the normal solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Estimates of eigenvalues in context of PDEs (35P15) Statistical mechanics of superconductors (82D55) Electro- and magnetostatics (78A30) Ginzburg-Landau equations (35Q56)

Related Items (6)

Non-monotonicity of the first eigenvalue for the 3D magnetic Robin Laplacian ⋮ Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg-Landau model ⋮ Magnetic steps on the threshold of the normal state ⋮ Thin domain limit and counterexamples to strong diamagnetism ⋮ Counterexample to strong diamagnetism for the magnetic Robin Laplacian ⋮ Breakdown of superconductivity in a magnetic field with self-intersecting zero set

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