Well-posedness and inviscid limit behavior of solution for the generalized 1D Ginzburg-Landau equation
文献类型：期刊论文
| 作者 | Huo, Zhaohui1,2 ; Jia, Yueling3
|
| 刊名 | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
 |
| 出版日期 | 2009-07-01 |
| 卷号 | 92期号:1页码:18-51 |
| 关键词 | Generalized 1D Ginzburg-Landau equation Derivative nonlinear Schrodinger equation Well-posedness Inviscid limit behavior |
| ISSN号 | 0021-7824 |
| DOI | 10.1016/j.matpur.2009.04.003 |
| 英文摘要 | The Cauchy problem of the one-dimensional generalized Ginzburg-Landau (GGL) equation is considered. The local well-posedness is obtained for initial data in H(s)(R) with s > 0, and global result in H(s)(R) with s > 0 is also obtained under some conditions. Moreover, the relation between the solution for GGL equation and the solution for the derivative nonlinear Schrodinger (DNLS) equation is studied. It is proved that for some T > 0, the solution of Cauchy problem for the GGL equation converge to the solution of Cauchy problem for the DNLS in the natural space C([0, T]; H(s)) with s > 1/2 if some coefficients tend to zero. Moreover, if initial data belong to H(2), the convergence holds in C([0, T]; H(1)) for any T > 0. (c) 2009 Elsevier Masson SAS. All rights reserved. |
| 资助项目 | NSF of China[10601006] ; NSF of China[10701013] ; Department of Mathematics of City University of Hong Kong |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000268409300002 |
| 出版者 | GAUTHIER-VILLARS/EDITIONS ELSEVIER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8868]  |
| 专题 | 数学所 |
| 通讯作者 | Huo, Zhaohui |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China 3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huo, Zhaohui,Jia, Yueling. Well-posedness and inviscid limit behavior of solution for the generalized 1D Ginzburg-Landau equation[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2009,92(1):18-51. |
| APA | Huo, Zhaohui,&Jia, Yueling.(2009).Well-posedness and inviscid limit behavior of solution for the generalized 1D Ginzburg-Landau equation.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,92(1),18-51. |
| MLA | Huo, Zhaohui,et al."Well-posedness and inviscid limit behavior of solution for the generalized 1D Ginzburg-Landau equation".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 92.1(2009):18-51. |
入库方式： OAI收割
来源：数学与系统科学研究院
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