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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DOI: 10.4236/jamp.2014.28086    2,982 Downloads   4,366 Views  Citations
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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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Li, H. (2014) Uniform Exponential Attractors for Non-Autonomous Strongly Damped Wave Equations. Journal of Applied Mathematics and Physics, 2, 783-794. doi: 10.4236/jamp.2014.28086.

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