Control and stabilization for the wave equation with variable coefficients in domains with moving boundary
文献类型：期刊论文
| 作者 | Lu, Liqing1; Li, Shengjia1; Chen, Goong2,3; Yao, Pengfei4
|
| 刊名 | SYSTEMS & CONTROL LETTERS
 |
| 出版日期 | 2015-06-01 |
| 卷号 | 80页码:30-41 |
| 关键词 | Wave equation with variable coefficients Moving boundary Riemannian metric Distance function of a metric |
| ISSN号 | 0167-6911 |
| DOI | 10.1016/j.sysconle.2015.04.003 |
| 英文摘要 | The study of stabilization and control for PDEs with variable coefficients involves higher level of complexity than the corresponding case of constant coefficients. Further compounding the complexity are the concern and effects of dynamic boundary motion. The problem in its general form is extremely challenging to treat, but under certain specific physical and geometric conditions, such as the timel-likeness of the boundary and a limited speed of domain expansion, energy decay estimates can be established and the exact controllability can also be obtained by control-theoretic and Riemannian-geometric methods. Our approach here is based on the Bochner technique of differential geometry in terms of Riemannian metric and geometric multipliers, by generalizing an energy identity method used earlier in Bardos and Chen (1981). Concrete examples are also given to illustrate the geometric conditions and the theorems. (C) 2015 Elsevier B.V. All rights reserved. |
| 资助项目 | National Science Foundation of China[61174083] ; National Science Foundation of China[11401351] ; National Science Foundation of China[61104129] ; National Science Foundation of China[61174082] ; National Science Foundation of China[61374089] ; National Science Foundation of China[61473126] ; Shanxi Scholarship Council of China[2011-006] ; Shanxi Scholarship Council of China[2013-013] ; Qatar National Research Funds grant National Priority Research Project (NPRP)[6-1162-1-181] |
| WOS研究方向 | Automation & Control Systems ; Operations Research & Management Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000356106000005 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19997]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yao, Pengfei |
| 作者单位 | 1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China 2.Texas A&M Univ, Dept Math, College Stn, TX 77843 USA 3.Texas A&M Univ Qatar, Sci Program, Doha, Qatar 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Control & Syst, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lu, Liqing,Li, Shengjia,Chen, Goong,et al. Control and stabilization for the wave equation with variable coefficients in domains with moving boundary[J]. SYSTEMS & CONTROL LETTERS,2015,80:30-41. |
| APA | Lu, Liqing,Li, Shengjia,Chen, Goong,&Yao, Pengfei.(2015).Control and stabilization for the wave equation with variable coefficients in domains with moving boundary.SYSTEMS & CONTROL LETTERS,80,30-41. |
| MLA | Lu, Liqing,et al."Control and stabilization for the wave equation with variable coefficients in domains with moving boundary".SYSTEMS & CONTROL LETTERS 80(2015):30-41. |
入库方式： OAI收割
来源：数学与系统科学研究院
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