Global existence of weak solutions for a shallow water equation

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 ≤ 3 2 ) , u 0 ∈ L 1 ( R ) and ( 1 − ∂ x 2 ) u 0 does not change sign, it is shown that there exists a...

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Veröffentlicht in:	Computers & mathematics with applications (1987) 2010-11, Vol.60 (9), p.2645-2652
Hauptverfasser:	Yin, Zheng, Lai, Shaoyong, Guo, Yunxi
Format:	Artikel
Sprache:	eng
Schlagworte:	Blow-up Global existence Local well-posedness Mathematical analysis Mathematical models Nonlinearity Shallow water equations Shallow water model
Online-Zugang:	Volltext
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