The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions

doi:10.1080/03605300600858960

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	The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions
	Chen, Yemin ; Zhang, Ping
	2006-12-01
发表期刊	COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0360-5302
卷号	31 期号:12 页码:1793-1810
摘要	In this article, we study the Cauchy problem of the viscoelastic fluid system of Oldroyd model in space dimension greater than 1. In particular, we prove that if the smooth solution (U, nu >) to this system blows up at some finite time T, then it is necessary that integral(t)(0) parallel to del nu(t)parallel to dt = infinity. Furthermore, we prove the global existence of smooth solutions to this system provided that initial data is sufficiently close to the equilibrium state.
关键词	blow up principle global small solutions Oldroyd model
DOI	10.1080/03605300600858960
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000241854700003
出版者	TAYLOR & FRANCIS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2708
专题	数学所
通讯作者	Zhang, Ping
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yemin,Zhang, Ping. The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2006,31(12):1793-1810.
APA	Chen, Yemin,&Zhang, Ping.(2006).The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,31(12),1793-1810.
MLA	Chen, Yemin,et al."The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 31.12(2006):1793-1810.