Kolmogorov ε-entropy of attractor for a non-autonomous strongly damped wave equation

In this paper, we study the long-time behavior of solutions for a non-autonomous strongly damped wave equation. We first prove the existence of a uniform attractor for the equation with a translation compact driving force and then obtain an upper estimate for the Kolmogorov ε-entropy of the uniform attractor. Finally we obtain an upper bound of the fractal dimension of the uniform attractor with quasiperiodic force.

► Prove the existence of a uniform attractor for a strongly damped wave equations with a translation compact driving force.
► Obtain an upper estimate for the Kolmogorov ε-entropy of the uniform attractor.
► Obtain an upper bound of the fractal dimension of the uniform attractor with quasiperiodic force.