Attractors And Distance Estimates Of Reaction-diffusion Systems And Degenerate Parabolic Equation

On one hand, the global attractor A of a reaction-diffusion systems and the homogenized attractor A0 of the corresponding homogenized equation respectively are studied, and the explicit estimate for the distance between A and A0 is also studied. On the other hand, the global attractor A of a degenerate parabolic equation and the homogenized attractor A0 of the corresponding homogenized equation respectively are studied, and the explicit estimate for the distance between A and A0 is also studied for a given space.Using prior estimates, we obtain above results for the following non-degenerate and degenerate parabolic problems: The results of the first equations extend the known results existing in the literature of B. Fiedler, M.L Vishik, M.fendiev and S.Zelik, and the second equation extends the known results existing in the degenerate parabolic equation.