KMS Of Academy of mathematics and systems sciences, CAS
| On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum | |
| Huang, Xiangdi | |
| 2020-02-17 | |
| Source Publication | SCIENCE CHINA-MATHEMATICS
 |
| ISSN | 1674-7283 |
| Pages | 18 |
| Abstract | We consider the local well-posedness of strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with density containing vacuum initially. We first prove the local existence and uniqueness of the strong solutions, where the initial compatibility condition proposed by Cho et al. (2004), Cho and Kim (2006) and Choe and Kim (2003) is removed in a suitable sense. Then, the continuous dependence of strong solutions on the initial data is derived under an additional compatibility condition. Moreover, for the initial data satisfying some additional regularity and the compatibility condition, the strong solution is proved to be a classical one. |
| Keyword | compressible Navier-Stokes equations vacuum strong solutions classical solutions |
| DOI | 10.1007/s11425-019-9755-3 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11731007] ; National Natural Science Foundation of China[11671412] ; Youth Innovation Promotion Association, Chinese Academy of Sciences |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000520050600001 |
| Publisher | SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51002 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Huang, Xiangdi |
| Affiliation | Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Huang, Xiangdi. On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum[J]. SCIENCE CHINA-MATHEMATICS,2020:18. |
| APA | Huang, Xiangdi.(2020).On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum.SCIENCE CHINA-MATHEMATICS,18. |
| MLA | Huang, Xiangdi."On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum".SCIENCE CHINA-MATHEMATICS (2020):18. |
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