Geodesic
From constant to non-degenerately vanishing magnetic fields in superconductivity
Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 2, pp. 423-438.

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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.

DOI : 10.1016/j.anihpc.2015.12.008
Keywords: Ginzburg–Landau functional, Non-degenerately vanishing magnetic fields, Energy asymptotics 
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     title = {From constant to non-degenerately vanishing magnetic fields in superconductivity},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
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Helffer, Bernard; Kachmar, Ayman. From constant to non-degenerately vanishing magnetic fields in superconductivity. Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 2, pp. 423-438. doi : 10.1016/j.anihpc.2015.12.008. http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2015.12.008/

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