On the Global Solution of a 3-D MHD System with Initial Data near Equilibrium
文献类型：期刊论文
| 作者 | Abidi, Hammadi1; Zhang, Ping2,3
|
| 刊名 | COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
 |
| 出版日期 | 2017-08-01 |
| 卷号 | 70期号:8页码:1509-1561 |
| ISSN号 | 0010-3640 |
| DOI | 10.1002/cpa.21645 |
| 英文摘要 | In this paper, we prove the global existence of smooth solutions to the three-dimensional incompressible magnetohydrodynamical system with initial data close enough to the equilibrium state, (e(3),0). Compared with previous works by Lin, Xu, and Zhang and by Xu and Zhang, here we present a new Lagrangian formulation of the system, which is a damped wave equation and which is nondegenerate only in the direction of the initial magnetic field. Furthermore, we remove the admissible condition on the initial magnetic field, which was required in the earlier works. By using the Frobenius theorem and anisotropic Littlewood-Paley theory for the Lagrangian formulation of the system, we achieve the global L-1-in-time Lipschitz estimate of the velocity field, which allows us to conclude the global existence of solutions to this system. In the case when the initial magnetic field is a constant vector, the large-time decay rate of the solution is also obtained.(c) 2016 Wiley Periodicals, Inc. |
| 资助项目 | National Center for Mathematics and Interdisciplinary Sciences ; National Science Foundation[11371037] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000403446800003 |
| 出版者 | WILEY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25653]  |
| 专题 | 数学所 |
| 通讯作者 | Abidi, Hammadi |
| 作者单位 | 1.Fac Sci Tunis, Dept Math, Campus Univ, 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. On the Global Solution of a 3-D MHD System with Initial Data near Equilibrium[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,2017,70(8):1509-1561. |
| APA | Abidi, Hammadi,&Zhang, Ping.(2017).On the Global Solution of a 3-D MHD System with Initial Data near Equilibrium.COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,70(8),1509-1561. |
| MLA | Abidi, Hammadi,et al."On the Global Solution of a 3-D MHD System with Initial Data near Equilibrium".COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 70.8(2017):1509-1561. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。