Global well-posedness of weak and strong solutions to the nD phase-lock system

DOI10.1080/00036811.2020.1736285zbMath1484.35257OpenAlexW3009701115MaRDI QIDQ5862272

Hongyan Xie, Yong Zhou, Jishan Fan

Publication date: 7 March 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1736285

zbMATH Keywords

strong solutionsweak solutionswell-posednessscaling invarianceCoulomb gauge

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Weak solutions to PDEs (35D30) Initial value problems for second-order parabolic systems (35K45) Semilinear parabolic equations (35K58) Strong solutions to PDEs (35D35)

Cites Work

• Uniqueness of weak solutions to the Ginzburg-Landau model for superconductivity
• Well-posedness of phase-lock equations of superconductivity
• Phase-lock equations and its connections to Ginzburg-Landau equations of superconductivity
• Global well-posedness of weak solutions to the time-dependent Ginzburg-Landau model for superconductivity
• A Hierarchy of Models for Type-II Superconductors
• Uniqueness of weak solutions in critical space of the 3‐D time‐dependent Ginzburg‐Landau equations for superconductivity
• Commutator estimates and the euler and navier-stokes equations
• Uniqueness of Weak Solutions to the 3D Ginzburg–Landau Superconductivity Model

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