Bulk superconductivity in Type II superconductors near the second critical field
Journal of the European Mathematical Society, Tome 12 (2010) no. 2, pp. 461-470
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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].
Classification :
35-XX, 81-XX, 00-XX
Keywords: Ginzburg-Landau model, superconductivity, second critical field
Keywords: Ginzburg-Landau model, superconductivity, second critical field
Søren Fournais; Bernard Helffer. Bulk superconductivity in Type II superconductors near the second critical field. Journal of the European Mathematical Society, Tome 12 (2010) no. 2, pp. 461-470. doi: 10.4171/jems/205
@article{JEMS_2010_12_2_a7,
author = {S{\o}ren Fournais and Bernard Helffer},
title = {Bulk superconductivity in {Type} {II} superconductors near the second critical field},
journal = {Journal of the European Mathematical Society},
pages = {461--470},
year = {2010},
volume = {12},
number = {2},
doi = {10.4171/jems/205},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/205/}
}
TY - JOUR AU - Søren Fournais AU - Bernard Helffer TI - Bulk superconductivity in Type II superconductors near the second critical field JO - Journal of the European Mathematical Society PY - 2010 SP - 461 EP - 470 VL - 12 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/205/ DO - 10.4171/jems/205 ID - JEMS_2010_12_2_a7 ER -
%0 Journal Article %A Søren Fournais %A Bernard Helffer %T Bulk superconductivity in Type II superconductors near the second critical field %J Journal of the European Mathematical Society %D 2010 %P 461-470 %V 12 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4171/jems/205/ %R 10.4171/jems/205 %F JEMS_2010_12_2_a7
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