ASYMPTOTIC BEHAVIOR OF WAVE EQUATION OF KIRCHHOFF TYPE WITH STRONG DAMPING  

ASYMPTOTIC BEHAVIOR OF WAVE EQUATION OF KIRCHHOFF TYPE WITH STRONG DAMPING

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作  者:Zhihua Song Yuanyuan Zhang 

机构地区:[1]School of Math.and Information Science, North China University of Water Resources and Electric Power [2]Teaching and Research Department of Math., Kaifeng University

出  处:《Annals of Applied Mathematics》2017年第1期50-62,共13页应用数学年刊(英文版)

基  金:supported by NSFC(No.10971199)

摘  要:The paper deals with the strongly damped nonlinear wave equation of Kirchhoff type. The existence of a global attractor is proven by using the de- composition, and moreover, the structure of the global attractor is established. Our results improve the previous results.The paper deals with the strongly damped nonlinear wave equation of Kirchhoff type. The existence of a global attractor is proven by using the de- composition, and moreover, the structure of the global attractor is established. Our results improve the previous results.

关 键 词:wave equations global attractors critical nonlinearity 

分 类 号:O175[理学—数学]

 

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