Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows

doi:10.1016/j.jde.2005.08.012

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	Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows
	Li, J; Xin, ZP
	2006-02-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	221 期号:2 页码:275-308
摘要	This paper concerns the global existence and the large time behavior of strong and classical solutions to the two-dimensional (2D) Stokes approximation equations for the compressible flows. We consider the unique global strong solution or classical solution to the 2D Stokes approximation equations for the compressible flows together with the space-periodicity boundary condition or the no-stick boundary condition or Cauchy problem for arbitrarily large initial data. First, we prove that the density is bounded from above independent of time in all these cases. Secondly, we show that for the space-periodicity boundary condition or the no-stick boundary condition, if the initial density contains vacuum at least at one point, then the global strong (or classical) solution must blow up as time goes to infinity. (c) 2005 Elsevier Inc. All rights reserved.
关键词	Stokes approximation equations isentropic compressible fluids uniform upper bound vacuum blowup
DOI	10.1016/j.jde.2005.08.012
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000235311600001
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3399
专题	数学所
通讯作者	Li, J
作者单位	1.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China 2.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China 3.Acad Sinica, Inst Appl Math, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, J,Xin, ZP. Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2006,221(2):275-308.
APA	Li, J,&Xin, ZP.(2006).Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows.JOURNAL OF DIFFERENTIAL EQUATIONS,221(2),275-308.
MLA	Li, J,et al."Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows".JOURNAL OF DIFFERENTIAL EQUATIONS 221.2(2006):275-308.