Vortex Solutions of the High-$\kappa$ High-Field Ginzburg–Landau Model with an Applied Current

DOI10.1137/090769983zbMath1223.82069OpenAlexW2073292648MaRDI QIDQ5198417

Qiang Du, Chunyi Zhao, Wei, Juncheng

Publication date: 8 August 2011

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

Full work available at URL: https://doi.org/10.1137/090769983

zbMATH Keywords

Lorentz forcesuperconductivityGinzburg-Landau modelcritical currentquantized vorticessteady state vortex solution

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Ginzburg-Landau equations (35Q56) Boundary value problems for second-order elliptic systems (35J57)

Related Items (7)

Optimal Analysis of Non-Uniform Galerkin-Mixed Finite Element Approximations to the Ginzburg–Landau Equations in Superconductivity ⋮ Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field ⋮ Maximizing critical currents in superconductors by optimization of normal inclusion properties ⋮ Existence of Superconducting Solutions for a Reduced Ginzburg--Landau Model in the Presence of Strong Electric Currents ⋮ Mixed normal-superconducting states in the presence of strong electric currents ⋮ Analysis of linearized Galerkin-mixed FEMs for the time-dependent Ginzburg-Landau equations of superconductivity ⋮ Existence and stability of superconducting solutions for the Ginzburg-Landau equations in the presence of weak electric currents

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