Existence and Bifurcation Theorems for the Ginzburg-Landau Equations
- 1 December 1967
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 8 (12) , 2351-2356
- https://doi.org/10.1063/1.1705166
Abstract
The second-order transition of a superconducting material from normal to superconducting state according to the Ginzburg-Landau theory is rigorously discussed. The bifurcation of a superconducting state is proved for both the Abrikosov mixed state and the case of a film in a parallel magnetic field when the flux or external field is slightly less than critical. The existence of a mixed state for all values of flux below the critical value is also proved.Keywords
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