Bulk superconductivity in Type II superconductors near the second critical ﬁeld

Fournais, Søren; Helffer, Bernard

doi:10.4171/JEMS/205

Journal of the European Mathematical Society

Full-Text PDF (157 KB) |

Table of Contents |

JEMS summary

Volume 12, Issue 2, 2010, pp. 461–470

DOI: 10.4171/JEMS/205

Bulk superconductivity in Type II superconductors near the second critical ﬁeld

Søren Fournais (1) and Bernard Helffer (2)

(1) Department of Mathematical Sciences, University of Aarhus, Ny Munkegade 118, 8000, AARHUS C, DENMARK
(2) Département de Mathématiques, UMR 8628, Université Paris Sud, Bât 425, F-91405, ORSAY CEDEX, FRANCE

We consider superconductors of Type II near the transition from the ‘bulk superconducting’ to the ‘surface superconducting’ state. We prove a new L^∞ estimate on the order parameter in the bulk, i.e. away from the boundary. This solves an open problem posed by Aftalion and Serfaty [AS].

Keywords: Ginzburg-Landau model, superconductivity, second critical field