Attractors for the inhomogeneous incompressible Navier-Stokes flows

doi:10.1016/j.nonrwa.2022.103755

	Attractors for the inhomogeneous incompressible Navier-Stokes flows
	Han, Pigong 1,2; Lei, Keke 1,2; Liu, Chenggang 3; Wang, Xuewen 1,2
刊名	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
	2023-02-01
卷号	69 页码:20
关键词	Inhomogeneous Navier-Stokes equations Long time behavior Attractor
ISSN号	1468-1218
DOI	10.1016/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
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000863979100004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60889]
专题	中国科学院数学与系统科学研究院
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.