Singular limits of anisotropic Ginzburg-Landau functional

DOI10.1007/s41808-020-00057-xzbMath1447.82037OpenAlexW3009134497MaRDI QIDQ2191073

Xing-Bin Pan

Publication date: 23 June 2020

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-020-00057-x

zbMATH Keywords

asymptotic behaviorsingular perturbationsuperconductivityGinzburg-Landau functionaleffective massmagnetic Schrödinger operatoranisotropy coefficients

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Variational methods for elliptic systems (35J50) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Second-order elliptic systems (35J47) Ginzburg-Landau equations (35Q56)

Cites Work

• Unnamed Item
• Partial Sobolev spaces and anisotropic smectic liquid crystals
• On a quasilinear system involving the operator curl
• Anisotropic singular perturbations of variational inequalities
• On the asymptotic behavior of elliptic, anisotropic singular perturbations problems
• Directional curl spaces and applications to the Meissner states of anisotropic superconductors
• Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity

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