GLOBAL WELL-POSEDNESS FOR VISCOELASTIC FLUID SYSTEM IN BOUNDED DOMAINS

doi:10.1137/10078503X

	GLOBAL WELL-POSEDNESS FOR VISCOELASTIC FLUID SYSTEM IN BOUNDED DOMAINS
	He, Lingbing 1; Xu, Li2
	2010
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	42 期号:6 页码:2610-2625
摘要	In this paper, the initial boundary value problem of the incompressible viscoelatic fluid system is considered. In the contrast to the previous work [Y. Chen and P. Zhang, Comm. Partial Differential Equations, 31 (2006), pp. 1793-1810], [F. H. Lin and P. Zhang, Comm. Pure Appl. Math., 61 (2008), pp. 539-558], [F. H. Lin, C. Liu, and P. Zhang, Comm. Pure Appl. Math., 18 (2005), pp. 1437-1471], and [Z. Lei, C. Liu, and Y. Zhou, Arch. Ration. Mech. Anal., 188 (2008), pp. 371-398], our main ingredient to solve the problem is to reformulate the original system along the particle trajectory. It is shown that in the so-called Lagrangian coordinate, the system is decoupled, and the well-posedness problem is reduced to the solvability of standard damped-wave equations with a no-slip boundary condition. Finally, we establish the global existence and exponential decay estimate for the equivalent system with the small and smooth initial data.
关键词	global well-posedness viscoelastic fluid system bounded domains
DOI	10.1137/10078503X
语种	英语
资助项目	Morningside Center of Mathematics of the Chinese Academy of Sciences (CAS)
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000285508100011
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9730
专题	计算数学与科学工程计算研究所
通讯作者	He, Lingbing
作者单位	1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.CAS, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	He, Lingbing,Xu, Li. GLOBAL WELL-POSEDNESS FOR VISCOELASTIC FLUID SYSTEM IN BOUNDED DOMAINS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2010,42(6):2610-2625.
APA	He, Lingbing,&Xu, Li.(2010).GLOBAL WELL-POSEDNESS FOR VISCOELASTIC FLUID SYSTEM IN BOUNDED DOMAINS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,42(6),2610-2625.
MLA	He, Lingbing,et al."GLOBAL WELL-POSEDNESS FOR VISCOELASTIC FLUID SYSTEM IN BOUNDED DOMAINS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 42.6(2010):2610-2625.