Convergence of Ginzburg-Landau Functionals in Three-Dimensional Superconductivity

S. Baldo, R. L. Jerrard, G. Orlandi, H. M. Soner

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


In this paper we consider the asymptotic behavior of the Ginzburg-Landau model for superconductivity in three dimensions, in various energy regimes. Through an analysis via Γ-convergence, we rigorously derive a reduced model for the vortex density and deduce a curvature equation for the vortex lines. In the companion paper (Baldo et al. Commun. Math. Phys. 2012, to appear) we describe further applications to superconductivity and superfluidity, such as general expressions for the first critical magnetic field H c1, and the critical angular velocity of rotating Bose-Einstein condensates.

Original languageEnglish (US)
Pages (from-to)699-752
Number of pages54
JournalArchive for Rational Mechanics and Analysis
Issue number3
StatePublished - Aug 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering


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