Well-posedness of phase-lock equations of superconductivity

DOI10.1016/j.aml.2005.02.009zbMath1125.82032OpenAlexW1997422110MaRDI QIDQ812694

Mei-Qin Zhan

Publication date: 24 January 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.02.009

zbMATH Keywords

existence and uniquenessglobal solutionsphase lockGinzburg-Landau (TDGL) equationssuperconductivity magnetic fields

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of superconductors (82D55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (6)

Uniqueness and Decay of Weak Solutions to Phase-Lock Equations ⋮ Uniqueness of weak solutions to the Ginzburg-Landau model for superconductivity ⋮ Multiplicity and stability of time-periodic solutions of Ginzburg-Landau equations of super\-conductivity ⋮ Uniqueness of weak solutions of time-dependent 3-D Ginzburg-Landau model for super\-conductivity ⋮ Uniqueness of weak solutions in critical space of the 3‐D time‐dependent Ginzburg‐Landau equations for superconductivity ⋮ Global well-posedness of weak and strong solutions to the nD phase-lock system

Cites Work

• Unnamed Item
• Phase-lock equations and its connections to Ginzburg-Landau equations of superconductivity
• Global attractors for phase-lock equations in superconductivity
• Lp solutions to the time-dependent Ginzburg–Landau equations of superconductivity

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