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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