Escher, Joachim; Lechtenfeld, Olaf; Yin, Zhaoyang Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation. (English) Zbl 1149.35307 Discrete Contin. Dyn. Syst. 19, No. 3, 493-513 (2007). 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. Reviewer: Argiris I. Delis (Chania) Cited in 2 ReviewsCited in 192 Documents MSC: 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs 35G25 Initial value problems for nonlinear higher-order PDEs 35Q35 PDEs in connection with fluid mechanics 35B40 Asymptotic behavior of solutions to PDEs Keywords:local well posedness; zero-curvature formulation; 2-component Camassa-Holm equation; blow-up phenomena PDFBibTeX XMLCite \textit{J. Escher} et al., Discrete Contin. Dyn. Syst. 19, No. 3, 493--513 (2007; Zbl 1149.35307) Full Text: DOI