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Attractors for the inhomogeneous incompressible Navier-Stokes flows

文献类型：期刊论文

作者Han, Pigong1,2; Lei, Keke1,2; Liu, Chenggang3; Wang, Xuewen1,2
刊名NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
出版日期2023-02-01
卷号69页码:20
关键词Inhomogeneous Navier-Stokes equations Long time behavior Attractor
ISSN号1468-1218
DOI10.1016/j.nonrwa.2022.103755
英文摘要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.
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
语种英语
WOS记录号WOS:000863979100004
出版者PERGAMON-ELSEVIER SCIENCE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60889]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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