Well-posedness for the fifth-order shallow water equations
文献类型：期刊论文
| 作者 | Jia, Yueling2; Huo, Zhaohui1,3
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2009-03-15 |
| 卷号 | 246期号:6页码:2448-2467 |
| 关键词 | Fifth-order shallow water equations Fourier restriction norm Bilinear estimates Trilinear estimates Local well-posedness |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2008.10.027 |
| 英文摘要 | The Cauchy problems for some kind of fifth-order shallow water equations partial derivative(t)u + alpha partial derivative(5)(x)u + beta partial derivative(3)(x)u + gamma partial derivative(u)(x) + F(u, partial derivative(x)u, partial derivative(2)(x)u) = 0, x, t is an element of R x R, are considered by the Fourier restriction norm method, where nonlinear terms F(u, partial derivative(x)u, partial derivative(2)(x)u) are mu partial derivative(x)(u(k)), k = 2,3, mu u partial derivative(2)(x)u or mu partial derivative(x)u partial derivative(2)(x)u respectively. The local well-posedness is established for data in H(s)(R) with s > -7/4 for the Kawahara equation (F = mu partial derivative(x)(u(2))) and is established for data in H(s)(R) with s >= -1/4 for the modified Kawahara equation (F = mu partial derivative(x)(u(3))), respectively. Moreover, the local result is established for data in H(s)(R) with s > 0 if F = mu u partial derivative(2)(x)u and is established for data in HI(R) with s > -1/4 if F = mu partial derivative(x)u partial derivative(2)(x) u, respectively. (C) 2008 Elsevier Inc. All rights reserved. |
| 资助项目 | NSF of China[10701013] ; NSF of China[10601006] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000264013600012 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7087]  |
| 专题 | 数学所 |
| 通讯作者 | Huo, Zhaohui |
| 作者单位 | 1.Chinese Acad Sci, Inst Math Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 3.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jia, Yueling,Huo, Zhaohui. Well-posedness for the fifth-order shallow water equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2009,246(6):2448-2467. |
| APA | Jia, Yueling,&Huo, Zhaohui.(2009).Well-posedness for the fifth-order shallow water equations.JOURNAL OF DIFFERENTIAL EQUATIONS,246(6),2448-2467. |
| MLA | Jia, Yueling,et al."Well-posedness for the fifth-order shallow water equations".JOURNAL OF DIFFERENTIAL EQUATIONS 246.6(2009):2448-2467. |
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。