The Ginzburg–Landau equations in a semi-infinite
superconducting film in the large κ limit
1997 ◽
Vol 8
(4)
◽
pp. 347-367
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Keyword(s):
A Priori
◽
Following our preceding papers [1, 2] concerning semi-infinite superconducting films, we consider new a priori estimates on the exterior magnetic field h=A′(0), when (f, A) is a solution of the corresponding Ginzburg–Landau system. The main new results concern the limit as κ→∞, but we prove also the existence of a finite superheating field. We also discuss recent results [3] concerning the superheating field in the large κ limit, and show how to relate these formal solutions to suitable subsolutions and supersolutions giving the existence of a solution for h<1/√2 and κ large enough. We also analyse the same problem by variational techniques and get the existence of a locally stable solution for h<1/√2 and any κ>0.
Keyword(s):
1990 ◽
Vol 31
(5)
◽
pp. 1284-1289
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2001 ◽
Vol 03
(01)
◽
pp. 1-14
◽
2011 ◽
Vol 49
(1)
◽
pp. 110-134
◽
Keyword(s):
1996 ◽
Vol 08
(01)
◽
pp. 43-83
◽
1996 ◽
Vol 06
(09)
◽
pp. 1665-1671
◽
Keyword(s):