Journal of Applied Mathematics and Physics
Volume 2, Issue 8 (July 2014)
ISSN Print: 2327-4352 ISSN Online: 2327-4379
Google-based Impact Factor: 1.00 Citations
Uniform Exponential Attractors for Non-Autonomous Strongly Damped Wave Equations ()
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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.
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