Boundary Controllability for the Quasilinear Wave Equation
文献类型：期刊论文
| 作者 | Yao, Peng-Fei
|
| 刊名 | APPLIED MATHEMATICS AND OPTIMIZATION
 |
| 出版日期 | 2010-04-01 |
| 卷号 | 61期号:2页码:191-233 |
| 关键词 | Quasi-linear wave equation Exact controllability Sectional curvature |
| ISSN号 | 0095-4616 |
| DOI | 10.1007/s00245-009-9088-7 |
| 英文摘要 | We study the boundary exact controllability for the quasilinear wave equation in high dimensions. Our main tool is the geometric analysis. We derive the existence of long time solutions near an equilibrium, prove the locally exact controllability around the equilibrium under some checkable geometrical conditions. We then establish the globally exact controllability in such a way that the state of the quasilinear wave equation moves from an equilibrium in one location to an equilibrium in another location under some geometrical conditions. The Dirichlet action and the Neumann action are studied, respectively. Our results show that exact controllability is geometrical characters of a Riemannian metric, given by the coefficients and equilibria of the quasilinear wave equation. A criterion of exact controllability is given, which based on the sectional curvature of the Riemann metric. Some examples are presented to verify the global exact controllability. |
| 语种 | 英语 |
| WOS记录号 | WOS:000273785900003 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10920]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yao, Peng-Fei |
| 作者单位 | 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 | Yao, Peng-Fei. Boundary Controllability for the Quasilinear Wave Equation[J]. APPLIED MATHEMATICS AND OPTIMIZATION,2010,61(2):191-233. |
| APA | Yao, Peng-Fei.(2010).Boundary Controllability for the Quasilinear Wave Equation.APPLIED MATHEMATICS AND OPTIMIZATION,61(2),191-233. |
| MLA | Yao, Peng-Fei."Boundary Controllability for the Quasilinear Wave Equation".APPLIED MATHEMATICS AND OPTIMIZATION 61.2(2010):191-233. |
入库方式： OAI收割
来源：数学与系统科学研究院
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