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On the weak solutions to a shallow water equation
Xin, ZP; Zhang, P
2000-11-01
Source PublicationCOMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
ISSN0010-3640
Volume53Issue:11Pages:1411-1433
AbstractWe 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.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000089359100004
PublisherJOHN WILEY & SONS INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15524
Collection中国科学院数学与系统科学研究院
Corresponding AuthorXin, ZP
Affiliation1.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
Recommended Citation
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.
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