Uniqueness of weak solutions to the 3D ginzburg-landau model for superconductivity

Jishan Fan, Tohru Ozawa

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    We prove the uniqueness for weak solutions of the time-dependent Ginzburg-Landau model for superconductivity with L 2 initial data in the case of Coulomb gauge under the regularity hypothesis on the solutions that ψ, A ∈ C([0, T]; L 3). We also prove the uniqueness of the 3-D radially symmetric solution with the choice of Lorentz gauge and L 2 initial data.

    Original languageEnglish
    Pages (from-to)1095-1104
    Number of pages10
    JournalInternational Journal of Mathematical Analysis
    Volume6
    Issue number21-24
    Publication statusPublished - 2012

    Fingerprint

    Ginzburg-Landau Model
    Superconductivity
    3D Model
    Weak Solution
    Gauge
    Uniqueness
    Radially Symmetric Solutions
    3D
    Regularity

    Keywords

    • Coulomb gauge
    • Ginzburg-landau model
    • Lorentz gauge
    • Superconductivity
    • Uniqueness

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Uniqueness of weak solutions to the 3D ginzburg-landau model for superconductivity. / Fan, Jishan; Ozawa, Tohru.

    In: International Journal of Mathematical Analysis, Vol. 6, No. 21-24, 2012, p. 1095-1104.

    Research output: Contribution to journalArticle

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