KMS Of Academy of mathematics and systems sciences, CAS
| Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity | |
| Qin, Yizhao1,2; Yao, Peng-Fei1,2 | |
| 2020-08-17 | |
| Source Publication | APPLICABLE ANALYSIS
 |
| ISSN | 0003-6811 |
| Volume | 99Issue:11Pages:1953-1971 |
| Abstract | 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. |
| Keyword | Fluid-structure interaction variable coefficient wave equations geometric multiplier method boundary dissipation Navier-Stokes equations energy decay 49k20 |
| DOI | 10.1080/00036811.2018.1551996 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Science Foundation of China[61473126] ; National Science Foundation of China[61573342] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000550134600006 |
| Publisher | TAYLOR & FRANCIS LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51838 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yao, Peng-Fei |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China |
| Recommended Citation 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. |
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