Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity
文献类型：期刊论文
| 作者 | Qin, Yizhao1,2; Yao, Peng-Fei1,2 |
| 刊名 | APPLICABLE ANALYSIS
 |
| 出版日期 | 2020-08-17 |
| 卷号 | 99期号:11页码:1953-1971 |
| 关键词 | Fluid-structure interaction variable coefficient wave equations geometric multiplier method boundary dissipation Navier-Stokes equations energy decay 49k20 |
| ISSN号 | 0003-6811 |
| DOI | 10.1080/00036811.2018.1551996 |
| 英文摘要 | We study a free boundary fluid-structure interaction model. In the model, a viscous incompressible fluid interacts with an elastic body via the common boundary. The motion of the fluid is governed by Navier-Stokes equations while the displacement of the elastic structure is described by variable coefficient wave equations. The dissipation is placed on the common boundary between the fluid and the elastic body. Given small initial data, the global existence of the solutions of this system is proved and the exponential decay of solutions is obtained. |
| 资助项目 | National Science Foundation of China[61473126] ; National Science Foundation of China[61573342] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000550134600006 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51837]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yao, Peng-Fei |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Qin, Yizhao,Yao, Peng-Fei. Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity[J]. APPLICABLE ANALYSIS,2020,99(11):1953-1971. |
| APA | Qin, Yizhao,&Yao, Peng-Fei.(2020).Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity.APPLICABLE ANALYSIS,99(11),1953-1971. |
| MLA | Qin, Yizhao,et al."Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity".APPLICABLE ANALYSIS 99.11(2020):1953-1971. |
入库方式： OAI收割
来源：数学与系统科学研究院
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