JournalsaihpcVol. 34, No. 2pp. 423–438

From constant to non-degenerately vanishing magnetic fields in superconductivity

  • Bernard Helffer

    Laboratoire de Mathématiques, Université de Paris-Sud 11, Bât 425, 91405 Orsay, France, Laboratoire Jean Leray (Université de Nantes), France
  • Ayman Kachmar

    Department of Mathematics, Lebanese University, Hadat, Lebanon
From constant to non-degenerately vanishing magnetic fields in superconductivity cover
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Abstract

We explore the relationship between two reference functions arising in the analysis of the Ginzburg–Landau functional. The first function describes the distribution of superconductivity in a type II superconductor subjected to a constant magnetic field. The second function describes the distribution of superconductivity in a type II superconductor submitted to a variable magnetic field that vanishes non-degenerately along a smooth curve.

Cite this article

Bernard Helffer, Ayman Kachmar, From constant to non-degenerately vanishing magnetic fields in superconductivity. Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (2017), no. 2, pp. 423–438

DOI 10.1016/J.ANIHPC.2015.12.008