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 Aug 22

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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