The Cauchy problem for a weakly dissipative 2-component Camassa-Holm system
Summary: The weakly dissipative 2-component Camassa-Holm system is considered. A local well-posedness for the system in Besov spaces is established by using the Littlewood-Paley theory and a priori estimates for the solutions of transport equation. The wave-breaking mechanisms and the exact blow-up rate of strong solutions to the system are presented. Moreover, a global existence result for strong solutions is derived.
scientific article; zbMATH DE number 7017293
scientific article