Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation with vorticity

Abstract

We first establish local well-posedness for a periodic 2-component Camassa-Holm equation with vorticity. We then present a global existence result for strong solutions to the equation. We finally obtain several blow-up results and the blow-up rate of strong solutions to the equation.

arXiv commentThis paper has been withdrawn by the author due to an error in remark 4.1

References in corpus (5)

• An integrable shallow water equation with peaked solitons
• On an integrable two-component Camassa-Holm shallow water system
• An Integrable Shallow Water Equation with Linear and Nonlinear Dispersion
• Two component integrable systems modelling shallow water waves: the constant vorticity case
• A 2 - Component or N=2 Supersymmetric Camassa - Holm Equation