  In this paper, we study blow-up phenomena for the rotation-two-component
Camassa- Holm (R2CH) system, a model of equatorial water waves that includes
the effect of the Coriolis force. We first derive the precise blow-up scenario
for R2CH with ? > 0: Then, we present two new blow-up results for strong
solutions to the system and then the precise blow-up rate for strong solutions
to the system is given.
