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 Yin | 1 | 7 | 2.84 |
Shaoyong Lai | 2 | 12 | 3.43 |
Yunxi Guo | 3 | 0 | 1.01 |