On the minimizers of the Ginzburg–Landau energy for
high kappa: the one-dimensional case
1997 ◽
Vol 8
(4)
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pp. 331-345
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Keyword(s):
The Ginzburg–Landau model for superconductivity is examined in the one-dimensional case. First, putting the Ginzburg–Landau parameter κ formally equal to infinity, the existence of a minimizer of this reduced Ginzburg–Landau energy is proved. Then asymptotic behaviour for large κ of minimizers of the full Ginzburg–Landau energy is analysed and different convergence results are obtained, according to the exterior magnetic field. Numerical computations illustrate the various behaviours.
1998 ◽
Vol 30
(1)
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pp. 1-18
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1999 ◽
Vol 10
(5)
◽
pp. 477-495
◽
Keyword(s):
On the global bifurcation diagram for the one-dimensional Ginzburg–Landau model of superconductivity
2000 ◽
Vol 11
(3)
◽
pp. 271-291
◽
Keyword(s):
Another look at recent results concerning bifurcation in one-dimensional models of superconductivity
2000 ◽
Vol 11
(1)
◽
pp. 121-128
◽
Keyword(s):