Classical solutions to the time-dependent Ginzburg–Landau equations for a bounded superconducting body in a vacuum

DOI10.1063/1.2012107zbMath1111.35071OpenAlexW2054469547MaRDI QIDQ3438590

Daniel R. Phillips, Hala T. Jadallah, Patricia Baumann

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2012107

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (3)

Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field ⋮ Superconductivity near the normal state under the action of electric currents and induced magnetic fields in \(\mathbb R^2\) ⋮ Long time behavior and field-induced instabilities of smectic liquid crystals

Cites Work

• Dynamics of the Ginzburg-Landau equations of superconductivity
• On a non‐stationary Ginzburg–Landau superconductivity model
• Discrete gauge invariant approximations of a time dependent Ginzburg-Landau model of superconductivity
• THE REGULARITY OF SOLUTIONS FOR THE CURL BOUNDARY PROBLEMS AND GINZBURG-LANDAU SUPERCONDUCTIVITY MODEL
• Global existence and uniqueness of solutions of the time-dependent ginzburg-landau model for superconductivity

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