Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier-Stokes Equations
文献类型：期刊论文
| 作者 | Han, Pigong1,2 ; Liu, Chenggang1,2; Lei, Keke1,2; Wang, Xuewen1,2
|
| 刊名 | JOURNAL OF MATHEMATICAL FLUID MECHANICS
 |
| 出版日期 | 2022-02-01 |
| 卷号 | 24期号:1页码:22 |
| 关键词 | Navier-Stokes equations Weak solution Decay rate |
| ISSN号 | 1422-6928 |
| DOI | 10.1007/s00021-021-00636-5 |
| 英文摘要 | 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. |
| 资助项目 | 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研究方向 | Mathematics ; Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000750824200001 |
| 出版者 | SPRINGER BASEL AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59941]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Han, Pigong |
| 作者单位 | 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 |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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