The Cauchy problem for the Novikov equation
文献类型：期刊论文
| 作者 | Yan, Wei1; Li, Yongsheng2; Zhang, Yimin3 |
| 刊名 | NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
 |
| 出版日期 | 2013-06-01 |
| 卷号 | 20期号:3页码:1157-1169 |
| 关键词 | Cauchy problem Novikov equation Blow-up |
| 英文摘要 | In this paper we consider the Cauchy problem for the Novikov equation. We prove that the Cauchy problem for the Novikov equation is not locally well-posed in the Sobolev spaces with in the sense that its solutions do not depend uniformly continuously on the initial data. Since the Cauchy problem for the Novikov equation is locally well-posed in with s > 3/2 in the sense of Hadamard, our result implies that s = 3/2 is the critical Sobolev index for well-posedness. We also present two blow-up results of strong solution to the Cauchy problem for the Novikov equation in with s > 3/2. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | WATER-WAVES ; TRAJECTORIES ; BREAKING |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000319478800034 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/886]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China 2.S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Wei,Li, Yongsheng,Zhang, Yimin. The Cauchy problem for the Novikov equation[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS,2013,20(3):1157-1169. |
| APA | Yan, Wei,Li, Yongsheng,&Zhang, Yimin.(2013).The Cauchy problem for the Novikov equation.NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS,20(3),1157-1169. |
| MLA | Yan, Wei,et al."The Cauchy problem for the Novikov equation".NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 20.3(2013):1157-1169. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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。