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GLOBAL WELL-POSEDNESS FOR VISCOELASTIC FLUID SYSTEM IN BOUNDED DOMAINS

文献类型：期刊论文

作者He, Lingbing1; Xu, Li2
刊名SIAM JOURNAL ON MATHEMATICAL ANALYSIS
出版日期2010
卷号42期号:6页码:2610-2625
关键词global well-posedness viscoelastic fluid system bounded domains
ISSN号0036-1410
DOI10.1137/10078503X
英文摘要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.
资助项目Morningside Center of Mathematics of the Chinese Academy of Sciences (CAS)
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000285508100011
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/9729]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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