Global Classical and Weak Solutions to the Three-Dimensional Full Compressible Navier-Stokes System with Vacuum and Large Oscillations
文献类型：期刊论文
| 作者 | Huang, Xiangdi1 ; Li, Jing2,3
|
| 刊名 | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
 |
| 出版日期 | 2018-03-01 |
| 卷号 | 227期号:3页码:995-1059 |
| ISSN号 | 0003-9527 |
| DOI | 10.1007/s00205-017-1188-y |
| 英文摘要 | For the three-dimensional full compressible Navier-Stokes system describing the motion of a viscous, compressible, heat-conductive, and Newtonian polytropic fluid, we establish the global existence and uniqueness of classical solutions with smooth initial data which are of small energy but possibly large oscillations where the initial density is allowed to vanish. Moreover, for the initial data, which may be discontinuous and contain vacuum states, we also obtain the global existence of weak solutions. These results generalize previous ones on classical and weak solutions for initial density being strictly away from a vacuum, and are the first for global classical and weak solutions which may have large oscillations and can contain vacuum states. |
| 资助项目 | National Center for Mathematics and Interdisciplinary Sciences, CAS ; President Fund of Academy of Mathematics Systems Science, CAS[2014-cjrwlzx-hxd] ; NNSFC[11471321] ; NNSFC[11371064] ; NNSFC[11671412] ; NNSFC[11688101] ; NNSFC[11371348] ; NNSFC[11525106] |
| WOS研究方向 | Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000419766100005 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/159]  |
| 专题 | 数学所 |
| 通讯作者 | Huang, Xiangdi |
| 作者单位 | 1.Chinese Acad Sci, NCMIS, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, NCMIS,HLM, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Xiangdi,Li, Jing. Global Classical and Weak Solutions to the Three-Dimensional Full Compressible Navier-Stokes System with Vacuum and Large Oscillations[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2018,227(3):995-1059. |
| APA | Huang, Xiangdi,&Li, Jing.(2018).Global Classical and Weak Solutions to the Three-Dimensional Full Compressible Navier-Stokes System with Vacuum and Large Oscillations.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,227(3),995-1059. |
| MLA | Huang, Xiangdi,et al."Global Classical and Weak Solutions to the Three-Dimensional Full Compressible Navier-Stokes System with Vacuum and Large Oscillations".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 227.3(2018):995-1059. |
入库方式： OAI收割
来源：数学与系统科学研究院
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