Long Time Behavior Of The Boussinesq Type Equation With Damping Term

The paper studies the long time behavior of the Boussinesq type equation with strong damping whereΩ. (?) RN is a bounded domain with smooth boundary (?)Ω,and v is the unit outward normal on (?)Ω.It proves that the infinite-dimensional dynamical system of the corresponding prob-lem possesses a global attractor in phase space E=V2×H, and the global attractor has finite Hausdorff dimension. At last, some examples are given to show the existence of the nonlinear functions g(s).