Long time behavior of the Ginzburg-Landau superconductivity equations Original Research Article

The existence, uniqueness and asymptotic behavior of the solutions of a nonstationary Ginzburg-Landau superconductivity model are discussed without assumption on the L∞ norm of the initial data. Under a suitable choice of gauge, it is proved that, as t tends to infinity, the semigroup determined by the system of equations admits a global attractor. The structure of the attractor is also discussed.