Some Uniform Estimates and Large-Time Behavior of Solutions to One-Dimensional Compressible Navier-Stokes System in Unbounded Domains with Large Data

doi:10.1007/s00205-015-0952-0

	Some Uniform Estimates and Large-Time Behavior of Solutions to One-Dimensional Compressible Navier-Stokes System in Unbounded Domains with Large Data
	Li, Jing 1,2; Liang, Zhilei 3
刊名	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
	2016-06-01
卷号	220 期号:3 页码:1195-1208
ISSN号	0003-9527
DOI	10.1007/s00205-015-0952-0
英文摘要	We study the large-time behavior of solutions to the initial and initial boundary value problems with large initial data for the compressible Navier-Stokes system describing the one-dimensional motion of a viscous heat-conducting perfect polytropic gas in unbounded domains. The temperature is proved to be bounded from below and above, independent of both time and space. Moreover, it is shown that the global solution is asymptotically stable as time tends to infinity. Note that the initial data can be arbitrarily large. This result is proved by using elementary energy methods.
资助项目	National Center for Mathematics and Interdisciplinary Sciences, CAS ; NNSFC[11371348] ; NNSFC[11525106] ; NNSFC[11226163] ; NNSFC[11301422]
WOS研究方向	Mathematics ; Mechanics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000371800100008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/22246]
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Jing; Liang, Zhilei
作者单位	1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu 611130, Peoples R China
推荐引用方式 GB/T 7714	Li, Jing,Liang, Zhilei. Some Uniform Estimates and Large-Time Behavior of Solutions to One-Dimensional Compressible Navier-Stokes System in Unbounded Domains with Large Data[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2016,220(3):1195-1208.
APA	Li, Jing,&Liang, Zhilei.(2016).Some Uniform Estimates and Large-Time Behavior of Solutions to One-Dimensional Compressible Navier-Stokes System in Unbounded Domains with Large Data.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,220(3),1195-1208.
MLA	Li, Jing,et al."Some Uniform Estimates and Large-Time Behavior of Solutions to One-Dimensional Compressible Navier-Stokes System in Unbounded Domains with Large Data".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 220.3(2016):1195-1208.