Boundary behavior of the Ginzburg-Landau order parameter in the surface superconductivity regime

DOI10.1007/s00205-015-0900-zzbMath1351.35201arXiv1406.2259OpenAlexW3102326064MaRDI QIDQ5962866

Michele Correggi, Nicolas Rougerie

Publication date: 25 February 2016

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.2259

zbMATH Keywords

magnetic fieldboundary layersuperconductivityGinzburg-Landau

Mathematics Subject Classification ID

Ginzburg-Landau equations (35Q56)

Related Items (18)

Effects of boundary curvature on surface superconductivity ⋮ On the third critical speed for rotating Bose-Einstein condensates ⋮ A 3D-Schrödinger operator under magnetic steps with semiclassical applications ⋮ On the shape of Meissner solutions to the 2-dimensional Ginzburg-Landau system ⋮ Ground states of attractive Bose gases near the critical rotating velocity ⋮ The nonexistence of vortices for rotating Bose-Einstein condensates with attractive interactions ⋮ Surface superconductivity in presence of corners ⋮ Magnetic steps on the threshold of the normal state ⋮ The distribution of superconductivity near a magnetic barrier ⋮ Concentration behavior and lattice structure of 3D surface superconductivity in the half space ⋮ Effects of corners in surface superconductivity ⋮ Local uniqueness of ground states for rotating Bose-Einstein condensates with attractive interactions ⋮ Thin domain limit and counterexamples to strong diamagnetism ⋮ Almost flat angles in surface superconductivity ⋮ Surface effects in superconductors with corners ⋮ The density of superconductivity in the bulk regime ⋮ Differential equations of quantum mechanics ⋮ The nonexistence of vortices for rotating Bose-Einstein condensates in non-radially symmetric traps

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