On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum
文献类型：期刊论文
| 作者 | Huang, Xiangdi |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2020-02-17 |
| 页码 | 18 |
| 关键词 | compressible Navier-Stokes equations vacuum strong solutions classical solutions |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-019-9755-3 |
| 英文摘要 | 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. |
| 资助项目 | 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研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000520050600001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51001]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Huang, Xiangdi |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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