On local strong solutions to the three-dimensional nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum
文献类型：期刊论文
| 作者 | Lu, Boqiang1; Song, Sisi2 |
| 刊名 | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000452576700005 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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