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Zbl 1149.35307
Escher, Joachim; Lechtenfeld; Olaf; Yin, Zhaoyang
Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation. (English)
[J] Discrete Contin. Dyn. Syst. 19, No. 3, 493-513 (2007). ISSN 1078-0947; ISSN 1553-5231/e

Authors' abstract: After some remarks on a possible zero-curvature formulation we first establish local well-posedness for the 2-component Camassa-Holm equation. Then precise blow-up scenarios for strong solutions to the system are derived. Finally we present two blow-up results for strong solutions to the system.
[Argiris I. Delis (Chania)]

MSC 2000:: *35B05 General behavior of solutions of PDE
35G25 Initial value problems for nonlinear higher-order PDE
35Q35 Other equations arising in fluid mechanics
35B40 Asymptotic behavior of solutions of PDE

Keywords: local well posedness; zero-curvature formulation; 2-component Camassa-Holm equation; blow-up phenomena

Cited in: Zbl pre06030439

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