KMS Of Academy of mathematics and systems sciences, CAS
| Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains | |
| Li, Kexin1; Lu, Boqiang2; Wang, Yixuan3 | |
| 2021-06-01 | |
| Source Publication | SCIENCE CHINA-MATHEMATICS
 |
| ISSN | 1674-7283 |
| Volume | 64Issue:6Pages:1231-1244 |
| Abstract | We consider the Cauchy problem for one-dimensional (1D) barotropic compressible Navier-Stokes equations with density-depending viscosity and large external forces. Under a general assumption on the density-depending viscosity, we prove that the Cauchy problem admits a unique global strong (classical) solution for the large initial data with vacuum. Moreover, the density is proved to be bounded from above time-independently. As a consequence, we obtain the large time behavior of the solution without external forces. |
| Keyword | 1D compressible Navier-Stokes equations global well-posedness large initial data vacuum density-depending viscosity |
| DOI | 10.1007/s11425-019-9521-4 |
| Indexed By | SCI |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000658188600006 |
| Publisher | SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58777 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Lu, Boqiang |
| Affiliation | 1.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China 2.Nanchang Hangkong Univ, Coll Math & Informat Sci, Nanchang 330063, Jiangxi, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Li, Kexin,Lu, Boqiang,Wang, Yixuan. Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains[J]. SCIENCE CHINA-MATHEMATICS,2021,64(6):1231-1244. |
| APA | Li, Kexin,Lu, Boqiang,&Wang, Yixuan.(2021).Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains.SCIENCE CHINA-MATHEMATICS,64(6),1231-1244. |
| MLA | Li, Kexin,et al."Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains".SCIENCE CHINA-MATHEMATICS 64.6(2021):1231-1244. |
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