Boundary controllability for the quasi-linear wave equations coupled in parallel
文献类型：期刊论文
| 作者 | Deng, Li1; Rao, Bopeng2; Yao, Peng-Fei3
|
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2011-08-01 |
| 卷号 | 74期号:12页码:4203-4222 |
| 关键词 | Coupled quasi-linear wave equations Exact controllability Riemannian metric |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2011.03.055 |
| 英文摘要 | We study the boundary exact controllability for a system of two quasi-linear wave equations coupled in parallel with springs and viscous terms. We prove the locally exact controllability around superposition equilibria under some checkable geometrical conditions. We then establish the globally exact controllability in such a way that the state of the coupled quasi-linear system moves from a superposition equilibrium in one location to a superposition equilibrium in another location. Our results show that exact controllability is geometrical characters of a Riemannian metric, given by the coefficients and superposition equilibria of the system. (C) 2011 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Science Foundation of China[60821091] ; National Science Foundation of China[60334040] ; National Science Foundation of China[60221301] ; National Science Foundation of China[60774025] ; National Science Foundation of China[10831007] ; National Science Foundation of China[YB20098000101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000290308300029 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11664]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Deng, Li |
| 作者单位 | 1.SW Jiaotong Univ, Inst Math, Chengdu 610031, Peoples R China 2.Univ Strasbourg, Inst Rech Math Avancee, F-67084 Strasbourg, France 3.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 | Deng, Li,Rao, Bopeng,Yao, Peng-Fei. Boundary controllability for the quasi-linear wave equations coupled in parallel[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2011,74(12):4203-4222. |
| APA | Deng, Li,Rao, Bopeng,&Yao, Peng-Fei.(2011).Boundary controllability for the quasi-linear wave equations coupled in parallel.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,74(12),4203-4222. |
| MLA | Deng, Li,et al."Boundary controllability for the quasi-linear wave equations coupled in parallel".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 74.12(2011):4203-4222. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。