| Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system | |
Abidi, Hammadi1; Zhang, Ping2,3
| |
| 2015-11-01 | |
| Source Publication | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
 |
| ISSN | 0944-2669 |
| Volume | 54Issue:3Pages:3251-3276 |
| Abstract | 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. |
| DOI | 10.1007/s00526-015-0902-6 |
| Language | 英语 |
| Funding Project | Morningside Center of Mathematics, CAS ; NSF of China[11371037] ; Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000363056100032 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/21081 |
| Collection | 数学所 |
| Corresponding Author | Zhang, Ping |
| Affiliation | 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 |
| Recommended Citation 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. |
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