Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system
文献类型：期刊论文
| 作者 | Abidi, Hammadi1; Zhang, Ping2,3
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| 刊名 | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2015-11-01 |
| 卷号 | 54期号:3页码:3251-3276 |
| ISSN号 | 0944-2669 |
| DOI | 10.1007/s00526-015-0902-6 |
| 英文摘要 | In this paper, we investigate the global regularity to 3-D inhomogeneous incompressible Navier-Stokes system with axisymmetric initial data which does not have swirl component for the initial velocity. We first prove that the norm to the quotient of the inhomogeneity by r, namely controls the regularity of the solutions. Then we prove the global regularity of such solutions provided that the norm of is sufficiently small. Finally, with additional assumption that the initial velocity belongs to for some we prove that the velocity field decays to zero with exactly the same rate as the classical Navier-Stokes system. |
| 资助项目 | Morningside Center of Mathematics, CAS ; NSF of China[11371037] ; Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000363056100032 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21080]  |
| 专题 | 数学所 |
| 通讯作者 | Zhang, Ping |
| 作者单位 | 1.Tunis Campus Univ, Fac Sci, Dept Math, Tunis 2092, Tunisia 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Abidi, Hammadi,Zhang, Ping. Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2015,54(3):3251-3276. |
| APA | Abidi, Hammadi,&Zhang, Ping.(2015).Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,54(3),3251-3276. |
| MLA | Abidi, Hammadi,et al."Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 54.3(2015):3251-3276. |
入库方式： OAI收割
来源：数学与系统科学研究院
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