Uniform attractors for nonautonomous wave equations with Nonlinear damping
文献类型：期刊论文
| 作者 | Sun, Chunyou; Cao, Daomin ; Duan, Jinqiao
|
| 刊名 | SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
 |
| 出版日期 | 2007 |
| 卷号 | 6期号:2页码:293-318 |
| 关键词 | nonautonomous systems wave equation nonlinear damping critical exponent uniform attractor norm-to-weak continuous process |
| ISSN号 | 1536-0040 |
| DOI | 10.1137/060663805 |
| 英文摘要 | We consider dynamical behavior of nonautonomous wave-type evolutionary equations with nonlinear damping, critical nonlinearity, and time-dependent external forcing which is translation bounded but not translation compact (i. e., external forcing is not necessarily time-periodic, quasi-periodic, or almost periodic). A sufficient and necessary condition for the existence of uniform attractors is established using the concept of uniform asymptotic compactness. A new method for verifying uniform asymptotic compactness is devised. The required compactness for the existence of uniform attractors is then fullled by some new a priori estimates for concrete wave-type equations arising from applications. The structure of uniform attractors is obtained by constructing a skew product. ow on the extended phase space. |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000248102900001 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5092]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Sun, Chunyou |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 3.IIT, Dept Appl Math, Chicago, IL 60616 USA |
| 推荐引用方式 GB/T 7714 | Sun, Chunyou,Cao, Daomin,Duan, Jinqiao. Uniform attractors for nonautonomous wave equations with Nonlinear damping[J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS,2007,6(2):293-318. |
| APA | Sun, Chunyou,Cao, Daomin,&Duan, Jinqiao.(2007).Uniform attractors for nonautonomous wave equations with Nonlinear damping.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS,6(2),293-318. |
| MLA | Sun, Chunyou,et al."Uniform attractors for nonautonomous wave equations with Nonlinear damping".SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 6.2(2007):293-318. |
入库方式： OAI收割
来源：数学与系统科学研究院
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