Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains

doi:10.1007/s11425-019-9521-4

	Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains
	Li, Kexin 3; Lu, Boqiang 2; Wang, Yixuan 1
刊名	SCIENCE CHINA-MATHEMATICS
	2021-06-01
卷号	64 期号:6 页码:1231-1244
关键词	1D compressible Navier-Stokes equations global well-posedness large initial data vacuum density-depending viscosity
ISSN号	1674-7283
DOI	10.1007/s11425-019-9521-4
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000658188600006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58776]
专题	中国科学院数学与系统科学研究院
通讯作者	Lu, Boqiang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Nanchang Hangkong Univ, Coll Math & Informat Sci, Nanchang 330063, Jiangxi, Peoples R China 3.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
推荐引用方式 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.