Exponential attractor for the 3D Ginzburg–Landau type equation

In this paper, we consider a complex Ginzburg–Landau type equation with periodic initial value condition in three spatial dimensions. Sufficient conditions for existence and uniqueness of global solutions are obtained by uniform a priori estimates of solutions. Furthermore, the existence of a global attractor with finite Hausdorff and fractal dimensions is proved. Finally, the existence of the exponential attractor is proved.