KMS Of Academy of mathematics and systems sciences, CAS
| Attractors for the inhomogeneous incompressible Navier-Stokes flows | |
Han, Pigong1,2 ; Lei, Keke1,2; Liu, Chenggang3; Wang, Xuewen1,2
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| 2023-02-01 | |
| 发表期刊 | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
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| ISSN | 1468-1218 |
| 卷号 | 69页码:20 |
| 摘要 | This paper is devoted to the evolution of Lions's weak solutions to the inhomogeneous Navier-Stokes equations. After proving that the kinetic energy is eventually bounded, we obtain a weakly compact global attractor that all Lions's weak solutions approach as time tends to infinity. Furthermore, the existence of attracting sets in strong topology is established for short trajectories satisfying an additional compactness condition on the density. (c) 2022 Elsevier Ltd. All rights reserved. |
| 关键词 | Inhomogeneous Navier-Stokes equations Long time behavior Attractor |
| DOI | 10.1016/j.nonrwa.2022.103755 |
| 收录类别 | SCI |
| 语种 | 英语 |
| 资助项目 | National Key R&D Program of China[2021YFA1000800] ; National Natural Science Foundation of China[11871457] ; K.C. Wong Education Foundation ; Chinese Academy of Sciences |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied |
| WOS记录号 | WOS:000863979100004 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/60890 |
| 专题 | 应用数学研究所 |
| 通讯作者 | Liu, Chenggang |
| 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 3.Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China |
| 推荐引用方式 GB/T 7714 | Han, Pigong,Lei, Keke,Liu, Chenggang,et al. Attractors for the inhomogeneous incompressible Navier-Stokes flows[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2023,69:20. |
| APA | Han, Pigong,Lei, Keke,Liu, Chenggang,&Wang, Xuewen.(2023).Attractors for the inhomogeneous incompressible Navier-Stokes flows.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,69,20. |
| MLA | Han, Pigong,et al."Attractors for the inhomogeneous incompressible Navier-Stokes flows".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 69(2023):20. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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