On the Behavior of a Superconducting Wire Subjected to a Constant Voltage Difference

DOI10.1137/090754546zbMath1215.35021OpenAlexW1976892666MaRDI QIDQ3068607

Junghwa Kim, Jacob Rubinstein, Peter Sternberg

Publication date: 17 January 2011

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6a0f3b0ffa2c6c17cb5cbfa1d05596db82ca6a6b

zbMATH Keywords

period doublingone-dimensional systemtime-dependent Ginzburg-Landau equationsformal asymptotic approximationsphase-slippage pointsstable time-periodic solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Periodic solutions to PDEs (35B10) Bifurcations in context of PDEs (35B32) Ginzburg-Landau equations (35Q56)

Related Items (7)

The maximal current carried by a normal–superconducting interface in the absence of magnetic field ⋮ THE INTERFACE BETWEEN THE NORMAL STATE AND THE FULLY SUPERCONDUCTING STATE IN THE PRESENCE OF AN ELECTRIC CURRENT ⋮ Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field ⋮ Existence of Superconducting Solutions for a Reduced Ginzburg--Landau Model in the Presence of Strong Electric Currents ⋮ Global stability of the normal state of superconductors in the presence of a strong electric current ⋮ Existence and stability of superconducting solutions for the Ginzburg-Landau equations in the presence of weak electric currents ⋮ A reduced Ginzburg–Landau model in ℝⁿ

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