Abstract
We find new stable solutions of the Ginzburg-Landau equation for high κ superconductors with exterior magnetic field hex. First, we prove the uniqueness of the Meissner-type solution. Then, we prove, in the case of a disc domain, the coexistence of branches of solutions with n vortices of degree one, for any n not too high and for a certain range of hex; and describe these branches. Finally, we give an estimate on the nucleation energy barrier, to pass continuously from a vortexless configuration to a configuration with a centered vortex.
Original language | English (US) |
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Pages (from-to) | 329-365 |
Number of pages | 37 |
Journal | Archive for Rational Mechanics and Analysis |
Volume | 149 |
Issue number | 4 |
DOIs | |
State | Published - Dec 18 1999 |
ASJC Scopus subject areas
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering