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

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	On local strong solutions to the three-dimensional nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum
	Lu, Boqiang 1; Song, Sisi 2
	2019-04-01
发表期刊	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN	1468-1218
卷号	46 页码:58-81
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.
关键词	Incompressible Navier-Stokes equations Density-dependent viscosity Vacuum Strong solutions
DOI	10.1016/j.nonrwa.2018.09.001
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000452576700005
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/31975
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.