Global well-posedness for the periodic Novikov equation with cubic nonlinearity
文献类型：期刊论文
| 作者 | Wu, Xinglong1; Guo, Boling2 |
| 刊名 | APPLICABLE ANALYSIS
 |
| 出版日期 | 2016-02-01 |
| 卷号 | 95期号:2页码:405-425 |
| 关键词 | the periodic Novikov equation well-posedness blow-up scenario conservation laws global solutions Peakon solutions |
| 英文摘要 | This paper is devoted to the study of the Cauchy problem to the periodic Novikov equation. Firstly, the local well-posedness for the equation is established. Secondly, we give the precise blow-up criterion, conservation laws, and prove that the equation has global strong solutions in time, if the initial potential does not change sign on R. Thirdly, with the initial potential satisfying the sign conditions, we show the existence of global weak solutions in time. Moreover, the uniqueness of global solution is addressed. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | DEGASPERIS-PROCESI EQUATION ; SHALLOW-WATER EQUATION ; INTEGRABLE EQUATION ; PEAKON SOLUTIONS ; WEAK SOLUTIONS ; SHOCK-WAVES ; BREAKING |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000367596100007 |
| 公开日期 | 2016-03-08 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/9140]  |
| 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.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu, Xinglong,Guo, Boling. Global well-posedness for the periodic Novikov equation with cubic nonlinearity[J]. APPLICABLE ANALYSIS,2016,95(2):405-425. |
| APA | Wu, Xinglong,&Guo, Boling.(2016).Global well-posedness for the periodic Novikov equation with cubic nonlinearity.APPLICABLE ANALYSIS,95(2),405-425. |
| MLA | Wu, Xinglong,et al."Global well-posedness for the periodic Novikov equation with cubic nonlinearity".APPLICABLE ANALYSIS 95.2(2016):405-425. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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