TY - JOUR T1 - Uniform Compact Attractors for a Nonlinear Non-autonomous Equation of Viscoelasticity JO - Journal of Partial Differential Equations VL - 2 SP - 153 EP - 198 PY - 2009 DA - 2009/05 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5252.html KW - Exponential stability KW - absorbing set KW - C_0-semigroup KW - uniform compact attractor AB -

In this paper we prove the regularity, exponential stability of global solutions and existence of uniform compact attractors of semiprocesses, generated by the global solutions, of a two-parameter family of operators for a nonlinear one-dimensional non-autonomous equation of viscoelasticity. We employ the properties of the analytic semigroup to show the compactness for the semiprocess generated by the global solutions.