Phase-lock equations and its connections to Ginzburg-Landau equations of superconductivity

DOI10.1016/S0362-546X(99)00172-8zbMath0966.35061WikidataQ126589708 ScholiaQ126589708MaRDI QIDQ1585013

Mei-Qin Zhan

Publication date: 7 August 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodLyapunov functionalexistence and uniqueness of global in time solutionssome a priori estimatestime-dependnet Ginzburg-Landau equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55)

Related Items (6)

Uniqueness and Decay of Weak Solutions to Phase-Lock Equations ⋮ Multiplicity and stability of time-periodic solutions of Ginzburg-Landau equations of super\-conductivity ⋮ Structure of the set of stationary solutions of phase-lock equations in superconductivity ⋮ Existence of periodic solutions for Ginzburg-Landau equations of superconductivity ⋮ Global well-posedness of weak and strong solutions to the nD phase-lock system ⋮ Well-posedness of phase-lock equations of superconductivity

Cites Work

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• A boundary value problem related to the Ginzburg-Landau model
• Infinite-dimensional dynamical systems in mechanics and physics
• Long time behavior of the Ginzburg-Landau superconductivity equations
• Macroscopic Models for Superconductivity
• On a non‐stationary Ginzburg–Landau superconductivity model
• Global existence and uniqueness of solutions of the time-dependent ginzburg-landau model for superconductivity
• Theory of Superconductivity

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