Multiplicity and stability of time-periodic solutions of Ginzburg-Landau equations of super\-conductivity

DOI10.1016/J.JMAA.2007.08.019zbMath1138.35088OpenAlexW1997555496MaRDI QIDQ2467754

Mei-Qin Zhan

Publication date: 28 January 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.08.019

zbMATH Keywords

stabilitymultiplicityGinzburg-Landau equationsuperconductivitytime-periodic solutionphase-lock equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Periodic solutions to PDEs (35B10) Statistical mechanics of superconductors (82D55) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

High-order compact ADI method using predictor-corrector scheme for 2D complex Ginzburg-Landau equation ⋮ Direct meshless local Petrov-Galerkin (DMLPG) method for 2D complex Ginzburg-Landau equation

Cites Work

• Unnamed Item
• Well-posedness of phase-lock equations of superconductivity
• Existence of time periodic solutions for the Ginzburg-Landau equations of superconductivity
• Periodic solutions of parabolic systems with nonlinear boundary conditions
• Phase-lock equations and its connections to Ginzburg-Landau equations of superconductivity
• Existence of periodic solutions for Ginzburg-Landau equations of superconductivity
• Nonlinear elliptic boundary-value problems in unbounded domains
• Lp solutions to the time-dependent Ginzburg–Landau equations of superconductivity

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