Ginzburg-Landau vortex dynamics with pinning and strong applied currents

DOI10.1007/s00205-011-0428-9zbMath1256.35149arXiv1003.5864OpenAlexW3099526541MaRDI QIDQ715309

Sylvia Serfaty, Ian Tice

Publication date: 5 November 2012

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.5864

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Statistical mechanics of superconductors (82D55) Ginzburg-Landau equations (35Q56)

Related Items (8)

Well-posedness for mean-field evolutions arising in superconductivity ⋮ Gross--Pitaevskii Vortex Motion with Critically Scaled Inhomogeneities ⋮ Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations ⋮ Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field ⋮ Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing ⋮ Mean field limits for Ginzburg-Landau vortices ⋮ Global stability of the normal state of superconductors in the presence of a strong electric current ⋮ VORTEX LIQUIDS AND THE GINZBURG–LANDAU EQUATION

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