TITLE:
Uniform Exponential Attractors for Non-Autonomous Strongly Damped Wave Equations
AUTHORS:
Hongyan Li
KEYWORDS:
Exponential Attractor, Uniform Attractor, Strongly Damped Wave Equation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.8,
July
4,
2014
ABSTRACT: In this paper, we study the existence of exponential attractors for strongly damped wave equations with a time-dependent driving force. To this end, the uniform H?lder continuity is established to the variation of the process in the phase apace. In a certain parameter region, the exponential attractor is a uniformly exponentially attracting time-dependent set in the phase apace, and is finite-dimensional no matter how complex the dependence of the external forces on time is. On this basis, we also obtain the existence of the infinite-dimensional uniform exponential attractor for the system.