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

preprint2011arXivOpen access

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.

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