Global Attractors Of Reaction Diffusion Systems

The global attractor A0 for a singular parabolic equation and the global attractor A_εfor the corresponding singularly perturbed hyperbolic equation are studied in the first part of this thesis, and the explicit estimate for the distance between A_εand A is also obtained. In the second part of this thesis, the global attractor for a quasilinear elliptic-parabolic equation is studied. More specifically, we use the Lyapunov function technique and weighted Sobolev space technique, and obtain the first result for the following two problems. (1) (2) Then, we obtain the existence of the global attractor for the following equation (3)...