On exponential stability of gravity driven viscoelastic flows
文献类型：期刊论文
| 作者 | Jiang, Fei1; Wu, Guochun2; Zhong, Xin3 |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2016-05-15 |
| 卷号 | 260期号:10页码:7498-7534 |
| 关键词 | Viscoelastic fluid Equilibrium state Rayleigh-Taylor instability Stability |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2016.01.030 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000373243700010 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22420]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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