2004 Prépublication d'Orsay numéro 2004-14 (02/04/2004)



ENERGY ASYMPTOTICS FOR TYPE II SUPERCONDUCTORS

FOURNAIS, Soeren - Analyse Numérique et E.D.P., CNRS et Université Paris-Sud, Bât. 425, 91405 Orsay cedex
HELFFER, Bernard - Analyse Numérique et E.D.P., Université Paris-Sud, Bât. 425, 91405 Orsay cedex


Mots Clés : superconductivity, Ginzburg-Landau functionnal

Classification MSC : 35P30


Resumé :

Abstract :
We study the Ginzburg-Landau functional in the parameter regime describing `Type II superconductors'. In the exact regime considered minimizers are localized to the boundary - i.e. the sample is only superconducting in the boundary region. Depending on the relative size of different parameters we describe the concentration behaviour and give leading order energy asymptotics. This generalizes previous results by Lu and Pan, Helffer and Pan, and Pan.

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Contact : soeren.fournais@math.u-psud.fr