Bulk superconductivity in Type II superconductors near the second critical field

Soren Fournais; Bernard Helffer

Journal of the European Mathematical Society (2010)

  • Volume: 012, Issue: 2, page 461-470
  • ISSN: 1435-9855

Abstract

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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].

How to cite

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Fournais, Soren, and Helffer, Bernard. "Bulk superconductivity in Type II superconductors near the second critical field." Journal of the European Mathematical Society 012.2 (2010): 461-470. <http://eudml.org/doc/277342>.

@article{Fournais2010,
abstract = {We consider superconductors of Type II near the transition from the ‘bulk superconducting’ to the ‘surface superconducting’ state. We prove a new $L^\infty $ 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].},
author = {Fournais, Soren, Helffer, Bernard},
journal = {Journal of the European Mathematical Society},
keywords = {Ginzburg-Landau model; superconductivity; second critical field; Ginzburg-Landau model; superconductivity; second critical field},
language = {eng},
number = {2},
pages = {461-470},
publisher = {European Mathematical Society Publishing House},
title = {Bulk superconductivity in Type II superconductors near the second critical field},
url = {http://eudml.org/doc/277342},
volume = {012},
year = {2010},
}

TY - JOUR
AU - Fournais, Soren
AU - Helffer, Bernard
TI - Bulk superconductivity in Type II superconductors near the second critical field
JO - Journal of the European Mathematical Society
PY - 2010
PB - European Mathematical Society Publishing House
VL - 012
IS - 2
SP - 461
EP - 470
AB - We consider superconductors of Type II near the transition from the ‘bulk superconducting’ to the ‘surface superconducting’ state. We prove a new $L^\infty $ 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].
LA - eng
KW - Ginzburg-Landau model; superconductivity; second critical field; Ginzburg-Landau model; superconductivity; second critical field
UR - http://eudml.org/doc/277342
ER -

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