KMS Of Academy of mathematics and systems sciences, CAS
| BLOW-UP SOLUTION OF NONLINEAR REACTION-DIFFUSION EQUATIONS UNDER BOUNDARY FEEDBACK | |
Ding, J.1,2; Guo, B. -Z.1,2,3
| |
| 2011-04-01 | |
| 发表期刊 | JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
 |
| ISSN | 1079-2724 |
| 卷号 | 17期号:2页码:273-290 |
| 摘要 | In this paper, we study a class of nonlinear reaction-diffusion equations with Neumann boundary control. Some sufficient conditions under which the system admits a unique global solution are given. A time-dependent gain nonlinear proportional boundary feedback control is designed to make the closed-loop system blow-up in a finite time. Finally, some concrete examples are presented to illustrate the applications. |
| 关键词 | Reaction-diffusion equation boundary control global solution blow-up solution |
| DOI | 10.1007/s10883-011-9119-y |
| 语种 | 英语 |
| 资助项目 | National Natural Science Foundation of China[61074048] ; National Natural Science Foundation of China[60974032] ; Natural Science Foundation of Shanxi Province[2006011001] ; Foundation of Shanxi Province for Overseas Returned Scholars ; National Basic Research Program of China[2011CB808002] ; National Research Foundation of South Africa |
| WOS研究方向 | Automation & Control Systems ; Mathematics |
| WOS类目 | Automation & Control Systems ; Mathematics, Applied |
| WOS记录号 | WOS:000292916100006 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/12994 |
| 专题 | 系统科学研究所 |
| 通讯作者 | Ding, J. |
| 作者单位 | 1.Shanxi Univ, Sch Math Sci, Taiyuan, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa 3.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ding, J.,Guo, B. -Z.. BLOW-UP SOLUTION OF NONLINEAR REACTION-DIFFUSION EQUATIONS UNDER BOUNDARY FEEDBACK[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,2011,17(2):273-290. |
| APA | Ding, J.,&Guo, B. -Z..(2011).BLOW-UP SOLUTION OF NONLINEAR REACTION-DIFFUSION EQUATIONS UNDER BOUNDARY FEEDBACK.JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,17(2),273-290. |
| MLA | Ding, J.,et al."BLOW-UP SOLUTION OF NONLINEAR REACTION-DIFFUSION EQUATIONS UNDER BOUNDARY FEEDBACK".JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 17.2(2011):273-290. |
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