In this paper, we prove the existence of a uniform attractor for the strongly damped wave equation by the bounded absorbing set and Condition (C) introduced by Ma et al. [9], when the external force is locally uniform integrable. As a particular case of locally uniform integrable, we show that the uniform attractor has a finite fractal dimension for the strongly damped wave equations when the external force is asymptotically periodic.

wave equation, uniform attractor, asymptotical period, fractal dimension.