KMS Of Academy of mathematics and systems sciences, CAS
| Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier-Stokes Equations | |
Han, Pigong1,2 ; Liu, Chenggang1,2; Lei, Keke1,2; Wang, Xuewen1,2
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| 2022-02-01 | |
| Source Publication | JOURNAL OF MATHEMATICAL FLUID MECHANICS
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| ISSN | 1422-6928 |
| Volume | 24Issue:1Pages:22 |
| Abstract | In this paper, we study the temporal decay properties of weak solutions to the inhomogeneous incompressible Navier-Stokes equations in R-n, n = 2, 3. The optimal L-2-decay rate is established, which coincides with that for the classical homogeneous Navier Stokes system. Additionally the viscosity coefficient is assumed to Lipschitz continuously depend on density without smallness condition, which is a weaker assumption. The initial data u(0) is only required to be in L-p (R-n) boolean AND L-2 (R-n), 1 <= p < 2. |
| Keyword | Navier-Stokes equations Weak solution Decay rate |
| DOI | 10.1007/s00021-021-00636-5 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11871457] ; K. C. Wong Education Foundation ; Chinese Academy of Sciences ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182] |
| WOS Research Area | Mathematics ; Mechanics ; Physics |
| WOS Subject | Mathematics, Applied ; Mechanics ; Physics, Fluids & Plasmas |
| WOS ID | WOS:000750824200001 |
| Publisher | SPRINGER BASEL AG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59942 |
| Collection | 应用数学研究所 |
| Corresponding Author | Han, Pigong |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Han, Pigong,Liu, Chenggang,Lei, Keke,et al. Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier-Stokes Equations[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS,2022,24(1):22. |
| APA | Han, Pigong,Liu, Chenggang,Lei, Keke,&Wang, Xuewen.(2022).Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier-Stokes Equations.JOURNAL OF MATHEMATICAL FLUID MECHANICS,24(1),22. |
| MLA | Han, Pigong,et al."Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier-Stokes Equations".JOURNAL OF MATHEMATICAL FLUID MECHANICS 24.1(2022):22. |
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