Weak solutions to the Ginzburg-Landau model in superconductivity with the temporal gauge

Jishan Fan, Tohru Ozawa

    研究成果: Article

    1 引用 (Scopus)

    抄録

    We first prove the uniqueness of weak solutions (Formula presented.) to the 3-D Ginzburg-Landau system in superconductivity with the temporal gauge if (Formula presented.), which is a critical space for some positive constant (Formula presented.). We also prove the global existence of solutions for the Ginzburg-Landau system with magnetic diffusivity (Formula presented.) or (Formula presented.). Finally, we prove the uniform bounds with respect to (Formula presented.) of strong solutions in space dimensions (Formula presented.). Consequently, the existence of the limit as (Formula presented.) can be established.

    元の言語English
    ジャーナルApplicable Analysis
    DOI
    出版物ステータスAccepted/In press - 2015 9 9

    Fingerprint

    Ginzburg-Landau Model
    Superconductivity
    Gages
    Weak Solution
    Gauge
    Ginzburg-Landau
    Uniform Bound
    Diffusivity
    Strong Solution
    Global Existence
    3D
    Existence of Solutions
    Uniqueness

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    これを引用

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    AB - We first prove the uniqueness of weak solutions (Formula presented.) to the 3-D Ginzburg-Landau system in superconductivity with the temporal gauge if (Formula presented.), which is a critical space for some positive constant (Formula presented.). We also prove the global existence of solutions for the Ginzburg-Landau system with magnetic diffusivity (Formula presented.) or (Formula presented.). Finally, we prove the uniform bounds with respect to (Formula presented.) of strong solutions in space dimensions (Formula presented.). Consequently, the existence of the limit as (Formula presented.) can be established.

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    KW - temporal gauge

    KW - Uniqueness

    KW - weak solutions

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