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This paper is concerned with long-time dynamics of semilinear wave equationsdefined on bounded domains of $\mathbb{R}^3$ with cubic nonlinear terms andlocally distributed damping. The existence of regular finite-dimensional globalattractors established by Chueshov, Lasiecka and Toundykov (2008) reflects agood deal of the current state of the art on this matter. Our contribution isthreefold. First, we prove uniform boundedness of attractors with respect to aforcing parameter. Then, we study the continuity of attractors with respect tothe parameter in a residual dense set. Finally, we show the existence ofgeneralized exponential attractors. These aspects were not previouslyconsidered for wave equations with localized damping.

Attractors for semilinear wave equations with localized damping and external forces