On local strong solutions to the three-dimensional nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum

doi:10.1016/j.nonrwa.2018.09.001

	On local strong solutions to the three-dimensional nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum
	Lu, Boqiang 1; Song, Sisi 2
刊名	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
	2019-04-01
卷号	46 页码:58-81
关键词	Incompressible Navier-Stokes equations Density-dependent viscosity Vacuum Strong solutions
ISSN号	1468-1218
DOI	10.1016/j.nonrwa.2018.09.001
英文摘要	We study the three-dimensional nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum on Omega subset of R-3, which is either a bounded domain or a usual unbounded one such as the whole space R-3 and an exterior one. In particular, the initial density can have compact support when Omega is unbounded. For initial data without additional compatibility conditions, we prove that there exists a unique local strong solution to the initial and initial boundary value problems. Moreover, the continuous of strong solutions on the initial data is derived under an additional compatibility condition. (C) 2018 Elsevier Ltd. All rights reserved.
资助项目	NNSFC[11601218] ; NNSFC[11771382] ; Natural Science Foundation of Jiangxi Province[20161BAB211002] ; Science and Technology Project of Jiangxi Provincial Education Department[GJJ160719] ; Science and Technology Project of Jiangxi Provincial Education Department[GJJ171294]
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000452576700005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/31974]
专题	中国科学院数学与系统科学研究院
通讯作者	Lu, Boqiang
作者单位	1.Nanchang Hongkong Univ, Coll Math & Informat Sci, Nanchang 330063, Jiangxi, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Lu, Boqiang,Song, Sisi. On local strong solutions to the three-dimensional nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2019,46:58-81.
APA	Lu, Boqiang,&Song, Sisi.(2019).On local strong solutions to the three-dimensional nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,46,58-81.
MLA	Lu, Boqiang,et al."On local strong solutions to the three-dimensional nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 46(2019):58-81.