| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 767066 | Communications in Nonlinear Science and Numerical Simulation | 2012 | 8 Pages |
Abstract
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.
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Authors
Hongyan Li, Shengfan Zhou,