Physics – Condensed Matter – Superconductivity
Scientific paper
1999-03-17
Physics
Condensed Matter
Superconductivity
25 pages
Scientific paper
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 the solutions of the linear equations. Finally, an error in Odeh's work on this problem is discussed.
Dancer E. N.
Hastings S. P.
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