  In this paper, we investigate the formation of singularity for general two
dimensional and radially symmetric solutions for rotating shallow water system
from different aspects. First, the formation of singularity is proved via the
study for the associated moments for two dimensional solutions. For the radial
symmetric solutions, the formation of singularity is established for the
initial data with compact support. Finally, the global existence or formation
of singularity for the radial symmetric solutions of the rotating shallow water
system are analyzed in detail when the solutions are of the form with separated
variables.
