On the weak solutions to a shallow water equation

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	On the weak solutions to a shallow water equation
	Xin, ZP ; Zhang, P
	2000-11-01
发表期刊	COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
ISSN	0010-3640
卷号	53 期号:11 页码:1411-1433
摘要	We obtain the existence of global-in-time weak solutions to the Cauchy problem for a one-dimensional shallow-water equation that is formally integrable and can be obtained by approximating directly the Hamiltonian for Euler's equation in the shallow-water regime. The solution is obtained as a limit of viscous approximation. The key elements in our analysis are some new a priori one-sided supernorm and space-time higher-norm estimates on the first-order derivatives. (C) 2000 John Wiley & Sons, Inc.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000089359100004
出版者	JOHN WILEY & SONS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15524
专题	中国科学院数学与系统科学研究院
通讯作者	Xin, ZP
作者单位	1.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China 2.Acad Sinica, Math Inst, Beijing, Peoples R China 3.Courant Inst, New York, NY USA 4.Chinese Univ Hong Kong, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Xin, ZP,Zhang, P. On the weak solutions to a shallow water equation[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,2000,53(11):1411-1433.
APA	Xin, ZP,&Zhang, P.(2000).On the weak solutions to a shallow water equation.COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,53(11),1411-1433.
MLA	Xin, ZP,et al."On the weak solutions to a shallow water equation".COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 53.11(2000):1411-1433.