%0 Journal Article
%T Uniform Exponential Attractors for Non-Autonomous Strongly Damped Wave Equations
%A Hongyan Li
%J Journal of Applied Mathematics and Physics
%P 783-794
%@ 2327-4379
%D 2014
%I Scientific Research Publishing
%R 10.4236/jamp.2014.28086
%X <p align=\"justify\">
	<span style=\"font-family:;\" cambria?,?serif?;font-size:10pt;?=\"\"><span style=\"font-family:Verdana;\">In this paper, we study the </span><span style=\"font-family:Verdana;\">existence of exponential attractors for strongly damped wave equations with a </span><span style=\"font-family:Verdana;\">time-dependent driving force. To this end, the uniform H</span></span><span style=\"font-family: Verdana;\" cambria?,?serif?;font-size:10pt;?=\"\">?</span><span style=\"font-family:;\" cambria?,?serif?;font-size:10pt;?=\"\"><span style=\"font-family:Verdana;\">lder </span><span style=\"font-family:Verdana;\">continuity is established to the variation of the process in the phase apace. </span><span style=\"font-family:Verdana;\">In a certain parameter region, the exponential attractor is a uniformly </span><span style=\"font-family:Verdana;\">exponentially attracting time-dependent set in the phase apace, and is </span><span style=\"font-family:Verdana;\">finite-dimensional no matter how complex the dependence of the external forces </span><span style=\"font-family:Verdana;\">on time is. On this basis, we also obtain the existence of the </span><span style=\"font-family:Verdana;\">infinite-dimensional uniform exponential attractor for the system.</span></span> 
</p>
<p align=\"left\">
	<span style=\"font-family:;\" cambria?,?serif?;?=\"\"><span style=\"font-size:12px;\"></span></span> 
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%K Exponential Attractor
%K Uniform Attractor
%K Strongly Damped Wave Equation
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=47579