The Ginzburg-Landau equations of superconductivity and the one-phase Stefan problem

DOI10.1016/S0294-1449(98)80122-4zbMath0904.35083MaRDI QIDQ1389833

Barbara E. E. Stoth, Lia Bronsard

Publication date: 7 July 1998

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1998__15_3_371_0

zbMATH Keywords

energy methodsmonotonicity propertiessingular limitone-phase Stefan problemtime-dependent Ginzburg-Landau modeltype I superconductivity

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Free boundary problems for PDEs (35R35)

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Landweber–Kaczmarz for parameter identification in time-dependent inverse problems: all-at-once versus reduced version ⋮ The Tangential Cone Condition for Some Coefficient Identification Model Problems in Parabolic PDEs

Cites Work

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• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
• Macroscopic Models for Superconductivity
• On a non‐stationary Ginzburg–Landau superconductivity model
• The Stefan problem with surface tension in the three dimensional case with spherical symmetry: nonexistence of the classical solution
• Global existence and uniqueness of solutions of the time-dependent ginzburg-landau model for superconductivity
• Theory of Superconductivity

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