Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data

doi:10.1016/j.matpur.2006.10.001

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	Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data
	Huang, Feimin; Li, Jing ; Xin, Zhouping
刊名	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
	2006-12-01
卷号	86 期号:6 页码:471-491
关键词	stokes approximation equations large external potential forces large-time behavior uniform upper bound vacuum blowup
ISSN号	0021-7824
DOI	10.1016/j.matpur.2006.10.001
英文摘要	This paper concerns the large time behavior of strong and classical solutions to the two-dimensional Stokes approximation equations for the compressible flows. We consider the unique global strong solution or classical solution to the two-dimensional Stokes approximation equations for the compressible flows with large external potential force, together with a Navier-slip boundary condition, for arbitrarily large initial data. Under the conditions that the corresponding steady state exists uniquely with the steady state density away from vacuum, we prove that the density is bounded from above independently of time, consequently, it converges to the steady state density in L-p and the velocity u converges to the steady state velocity in W-1.p for any 1 <= p < infinity as time goes to infinity; furthermore, we show that if the initial density contains vacuum at least at one point, then the derivatives of the density must blow up as time goes to infinity. (C) 2006 Elsevier Masson SAS. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	GAUTHIER-VILLARS/EDITIONS ELSEVIER
WOS记录号	WOS:000243143900003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/3320]
专题	应用数学研究所
通讯作者	Huang, Feimin
作者单位	1.Acad Sinica, Inst Appl Math, AMSS, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China 3.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Huang, Feimin,Li, Jing,Xin, Zhouping. Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2006,86(6):471-491.
APA	Huang, Feimin,Li, Jing,&Xin, Zhouping.(2006).Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,86(6),471-491.
MLA	Huang, Feimin,et al."Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 86.6(2006):471-491.