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On local strong solutions to the three-dimensional nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum
Lu, Boqiang1; Song, Sisi2
2019-04-01
Source PublicationNONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN1468-1218
Volume46Pages:58-81
AbstractWe 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.
KeywordIncompressible Navier-Stokes equations Density-dependent viscosity Vacuum Strong solutions
DOI10.1016/j.nonrwa.2018.09.001
Language英语
Funding ProjectNNSFC[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 Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000452576700005
PublisherPERGAMON-ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31975
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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