On exponential stability of gravity driven viscoelastic flows

doi:10.1016/j.jde.2016.01.030

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	On exponential stability of gravity driven viscoelastic flows
	Jiang, Fei 1; Wu, Guochun 2; Zhong, Xin 3
	2016-05-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	260 期号:10 页码:7498-7534
摘要	We investigate stability of an equilibrium state to a nonhomogeneous incompressible viscoelastic fluid driven by gravity in a bounded domain Omega subset of R-3 of class C-3. First, we establish a critical number kappa(C), which depends on the equilibrium density and the gravitational constant, and is a threshold of the elasticity coefficient kappa for instability and stability of the linearized perturbation problem around the equilibrium state. Then we prove that the equilibrium state is exponential stability provided that kappa > kappa(C) and the initial disturbance quantities around the equilibrium state satisfy some relations. In particular, if the equilibrium density (rho) over bar is a Rayleigh-Taylor (RT) type and (rho) over bar' is a constant, our result strictly shows that the sufficiently large elasticity coefficient can prevent the RT instability from occurrence. (C) 2016 Elsevier Inc. All rights reserved.
关键词	Viscoelastic fluid Equilibrium state Rayleigh-Taylor instability Stability
DOI	10.1016/j.jde.2016.01.030
语种	英语
资助项目	NSFC[11271051] ; NSFC[11301083] ; NSFC[11471134] ; NSF of Fujian Province of China[2014J01011] ; China Postdoctoral Science Foundation[2015M581187]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000373243700010
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/22421
专题	中国科学院数学与系统科学研究院
通讯作者	Jiang, Fei
作者单位	1.Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Peoples R China 2.Putian Univ, Dept Math, Putian 351100, Peoples R China 3.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Fei,Wu, Guochun,Zhong, Xin. On exponential stability of gravity driven viscoelastic flows[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2016,260(10):7498-7534.
APA	Jiang, Fei,Wu, Guochun,&Zhong, Xin.(2016).On exponential stability of gravity driven viscoelastic flows.JOURNAL OF DIFFERENTIAL EQUATIONS,260(10),7498-7534.
MLA	Jiang, Fei,et al."On exponential stability of gravity driven viscoelastic flows".JOURNAL OF DIFFERENTIAL EQUATIONS 260.10(2016):7498-7534.