The maximal current carried by a normal–superconducting interface in the absence of magnetic field

DOI10.1017/S0956792519000196zbMath1504.82055arXiv1812.05701OpenAlexW2970536347WikidataQ127311247 ScholiaQ127311247MaRDI QIDQ5056715

L. K. Hart, Yaniv Almog

Publication date: 8 December 2022

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05701

zbMATH Keywords

superconductivityGinzburg-Landaumaximal currentnormal conductivity

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Statistical mechanics of superconductors (82D55) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Ginzburg-Landau equations (35Q56)

Cites Work

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• The resistive state in a superconducting wire: Bifurcation from the normal state
• 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
• Existence of Superconducting Solutions for a Reduced Ginzburg--Landau Model in the Presence of Strong Electric Currents
• Existence and stability of superconducting solutions for the Ginzburg-Landau equations in the presence of weak electric currents

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