Global existence, asymptotic behavior, and uniform attractor for a nonautonomous equation
Global existence, asymptotic behavior, and uniform attractor for a nonautonomous equation
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DOI：
10.1002/mma.2774
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发表时间：
2013-12
影响因子：
2.9
通讯作者：
Yuming Qin;Jia Ren
中科院分区：
文献类型：
--
作者：
Yuming Qin;Jia Ren
本文建立了一类带时滞项的非自治粘弹性方程解的整体存在性、渐近性态和一致吸引子。在适当的假设下，我们首先利用Faedo-Galerkin近似和一些能量估计证明了问题的整体适定性，然后通过适当的李雅普诺夫泛函得到了能量衰减的一般结果.最后证明了一致吸引子的存在性。版权所有© 2013约翰威利父子有限公司.
In this paper, we establish the global existence, asymptotic behavior, and uniform attractor for a nonautonomous viscoelastic equation with a delay term. Under some suitable assumptions, we firstly prove the global well‐posedness of the problem by using the Faedo–Galerkin approximations together with some energy estimates and then obtain the general decay results of the energy via suitable Lyapunov functionals. Finally, we prove the existence of uniform attractors. Copyright © 2013 John Wiley & Sons, Ltd.