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

Jishan Fan, Tohru Ozawa

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We first prove the uniqueness of weak solutions (ψ, A) to the 3-D Ginzburg-Landau system in superconductivity with the temporal gauge if(ψ, A)W :={(ψ, Aψ∈ L2(0, T; L∞), which is a critical space for some positive constant T. We also prove the global existence of solutions for the Ginzburg-Landau system with magnetic diffusivity μ>f 0 or μ=0. Finally, we prove the uniform bounds with respect to μ of strong solutions in space dimensions d=2. Consequently, the existence of the limit as μ→0 can be established.

本文言語English
ページ(範囲)2029-2038
ページ数10
ジャーナルApplicable Analysis
95
9
DOI
出版ステータスPublished - 2016 9 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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