Uniqueness of weak solutions to the Ginzburg-Landau model for superconductivity

Jishan Fan, Tohru Ozawa

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We prove the uniqueness for weak solutions of the time-dependent 2-D Ginzburg-Landau model for superconductivity with L 2 initial data in the case of Coulomb gauge. This question was left open in Tang and Wang (Physica D, 88:139-166, 1995). We also prove the uniqueness of the 3-D radially symmetric solution in bounded annular domain with the choice of Lorentz gauge and L 2 initial data.

Original languageEnglish
Pages (from-to)453-459
Number of pages7
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume63
Issue number3
DOIs
Publication statusPublished - 2012 Jun 1

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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