Finite Dimensional Behavior of Global Attractors for Weakly Damping Ginzbrug—Landau Equations Coupling with BBM Equations

摘要

The existence of globa attractors of the periodic initial value problem for the Ginzburg-Landau equations coupling with BBM quations is proved.The estimates of the upper bouds of Hausdorff and fractal dimensions for the global attrators by means of uniformly a priori estimates for time are also obtained.