On the Cauchy problem for the two-component Camassa–Holm system

On the Cauchy problem for the two-component Camassa–Holm system

In this paper we establish the local well-posedness for the two-component Camassa–Holm system in a range of the Besov spaces. We also derive a wave-breaking mechanism for strong solutions. In addition, we determine the exact blow-up rate of such solutions to the system.

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Veröffentlicht in:Mathematische Zeitschrift 2011-06, Vol.268 (1-2), p.45-66
Hauptverfasser: Gui, Guilong, Liu, Yue
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper we establish the local well-posedness for the two-component Camassa–Holm system in a range of the Besov spaces. We also derive a wave-breaking mechanism for strong solutions. In addition, we determine the exact blow-up rate of such solutions to the system.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-009-0660-2