Title
Global existence of weak solutions for a shallow water equation
Abstract
A nonlinear shallow water equation, which includes the famous Camassa-Holm (CH) and Degasperis-Procesi (DP) equations as special cases, is investigated. Provided that initial value u"0@?H^s(1@?s@?32), u"0@?L^1(R) and (1-@?"x^2)u"0 does not change sign, it is shown that there exists a unique global weak solution to the equation.
Year
DOI
Venue
2010
10.1016/j.camwa.2010.08.094
Computers & Mathematics with Applications
Keywords
Field
DocType
special case,local well-posedness,global existence,famous camassa-holm,shallow water model,initial value u,blow-up,unique global weak solution,nonlinear shallow water equation,shallow water equation,weak solution,shallow water
Mathematical optimization,Nonlinear system,Existential quantification,Mathematical analysis,Weak solution,Initial value problem,Shallow water equations,Mathematics
Journal
Volume
Issue
ISSN
60
9
Computers and Mathematics with Applications
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
Zheng Yin172.84
Shaoyong Lai2123.43
Yunxi Guo301.01