KMS Of Academy of mathematics and systems sciences, CAS
| ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION | |
| Qin, Yizhao1; Guo, Yuxia1; Yao, Peng-Fei2,3 | |
| 2020-03-01 | |
| Source Publication | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| ISSN | 1078-0947 |
| Volume | 40Issue:3Pages:1555-1593 |
| Abstract | We consider a nonlinear, free boundary fluid-structure interaction model in a bounded domain. The viscous incompressible fluid interacts with a nonlinear elastic body on the common boundary via the velocity and stress matching conditions. The motion of the fluid is governed by incompressible Navier-Stokes equations while the displacement of elastic structure is determined by a nonlinear elastodynamic system with boundary dissipation. The boundary dissipation is inserted in the velocity matching condition. We prove the global existence of the smooth solutions for small initial data and obtain the exponential decay of the energy of this system as well. |
| Keyword | Fluid-structure interaction nonlinear elastodynamic systems boundary dissipation Navier-Stokes equations energy decay global well-posedness |
| DOI | 10.3934/dcds.2020086 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Science Foundation of China[11771235] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000502707900010 |
| Publisher | AMER INST MATHEMATICAL SCIENCES-AIMS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50464 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yao, Peng-Fei |
| Affiliation | 1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Qin, Yizhao,Guo, Yuxia,Yao, Peng-Fei. ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2020,40(3):1555-1593. |
| APA | Qin, Yizhao,Guo, Yuxia,&Yao, Peng-Fei.(2020).ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,40(3),1555-1593. |
| MLA | Qin, Yizhao,et al."ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 40.3(2020):1555-1593. |
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