Global attractor for the initial–boundary value problems for Ginzburg–Landau equations for atomic Fermi gases near the BCS–BEC crossover

In this paper, we investigate the time-dependent Ginzburg–Landau (TDGL) equations coming from the superfluid atomic Fermi gases near the Feshbach resonance from the fermion–boson model. By the method of a priori estimates, we get the existence of global attractors in the case of BCS–BEC crossover.