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Attractors for the inhomogeneous incompressible Navier-Stokes flows
Han, Pigong1,2; Lei, Keke1,2; Liu, Chenggang3; Wang, Xuewen1,2
2023-02-01
Source PublicationNONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN1468-1218
Volume69Pages:20
AbstractThis 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.
KeywordInhomogeneous Navier-Stokes equations Long time behavior Attractor
DOI10.1016/j.nonrwa.2022.103755
Indexed BySCI
Language英语
Funding ProjectNational Key R&D Program of China[2021YFA1000800] ; National Natural Science Foundation of China[11871457] ; K.C. Wong Education Foundation ; Chinese Academy of Sciences
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000863979100004
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/60890
Collection应用数学研究所
Corresponding AuthorLiu, Chenggang
Affiliation1.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
Recommended Citation
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.
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