Global Attractor For A Class Of Nonlinear Wave Equations With Strong Damping

In this paper, we are concerned with the existence of bounded absorbing set and global attractor for the nonlinear wave equation with damping term where Ω(?)RN is a bounded domain with smooth boundary (?)Ω, the nonlinear terms are f(ut) and g(u), and h is external force.First, this paper obtains the existence of bounded absorbing set by prior estimates, then use the standard Galerkin approximation scheme to prove the existence and unique-ness of global solutions for the above mentioned problem in the space X1=V1×H. And by combining the decomposition idea of the semigroup, it proves the dynamical system associated with the above-mentioned equation possess a global which is connected.