Author:
DANCER E. N.,HASTINGS S. P.
Abstract
Some new global results are given about solutions to the boundary value problem for the
Euler–Lagrange equations for the Ginzburg–Landau model of a one-dimensional superconductor.
The main advance is a proof that in some parameter range there is a branch of
asymmetric solutions connecting the branch of symmetric solutions to the normal state. Also,
simplified proofs are presented for some local bifurcation results of Bolley and Helffer. These
proofs require no detailed asymptotics for solution of the linear equations. Finally, an error
in Odeh's work on this problem is discussed.
Publisher
Cambridge University Press (CUP)
Cited by
6 articles.
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