Global well-posedness for the periodic Novikov equation with cubic nonlinearity

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	Global well-posedness for the periodic Novikov equation with cubic nonlinearity
	Wu, Xinglong 1; Guo, Boling 2
刊名	APPLICABLE ANALYSIS
	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
内容类型	期刊论文
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.