Existence of Superconducting Solutions for a Reduced Ginzburg--Landau Model in the Presence of Strong Electric Currents

DOI10.1137/17M1112285zbMath1421.82045arXiv1611.02732OpenAlexW2565838141MaRDI QIDQ4630243

Yaniv Almog, Itai Shafrir, Leonid Berlyand, Dmitry Golovaty

Publication date: 29 March 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02732

zbMATH Keywords

superconductivityGinzburg-Landaucurrent

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Ginzburg-Landau equations (35Q56)

Related Items

The maximal current carried by a normal–superconducting interface in the absence of magnetic field ⋮ A reduced Ginzburg–Landau model in ℝⁿ

Cites Work

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• Mixed normal-superconducting states in the presence of strong electric currents
• The resistive state in a superconducting wire: Bifurcation from the normal state
• Elliptic partial differential equations of second order
• Global stability of the normal state of superconductors in the presence of a strong electric current
• THE INTERFACE BETWEEN THE NORMAL STATE AND THE FULLY SUPERCONDUCTING STATE IN THE PRESENCE OF AN ELECTRIC CURRENT
• On the Behavior of a Superconducting Wire Subjected to a Constant Voltage Difference
• The Stability of the Normal State of Superconductors in the Presence of Electric Currents
• A Hierarchy of Models for Superconducting Thin Films
• High-Kappa Limits of the Time-Dependent Ginzburg–Landau Model
• Vortex Solutions of the High-$\kappa$ High-Field Ginzburg–Landau Model with an Applied Current
• Existence and stability of superconducting solutions for the Ginzburg-Landau equations in the presence of weak electric currents
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II