On Ginzburg-Landau vortices of superconducting thin films

DOI10.1007/s10114-005-0550-4zbMath1387.35560OpenAlexW2033857895MaRDI QIDQ2508560

Shijin Ding, Qiang Du

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0550-4

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15) Statistical mechanics of superconductors (82D55) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Ginzburg-Landau equations (35Q56)

Related Items (5)

Vortices in the three-dimensional thin-film Ginzburg-Landau model of superconductivity ⋮ Energy estimate for the type-II superconducting film ⋮ Vorticity measure of type-II superconducting thin films ⋮ \(\Gamma\)-convergence and the emergence of vortices for Ginzburg-Landau on thin shells and manifolds ⋮ On the first critical field in Ginzburg-Landau theory for thin shells and manifolds

Cites Work

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• ON THE ENERGY OF TYPE-II SUPERCONDUCTORS IN THE MIXED PHASE
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• Pinning phenomena near the lower critical field for superconductor
• LOCAL MINIMIZERS FOR THE GINZBURG–LANDAU ENERGY NEAR CRITICAL MAGNETIC FIELD: PART I

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