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In this paper, we investigate the formation of singularity for general twodimensional and radially symmetric solutions for rotating shallow water systemfrom different aspects. First, the formation of singularity is proved via thestudy for the associated moments for two dimensional solutions. For the radialsymmetric solutions, the formation of singularity is established for theinitial data with compact support. Finally, the global existence or formationof singularity for the radial symmetric solutions of the rotating shallow watersystem are analyzed in detail when the solutions are of the form with separatedvariables.

Formation of singularity for the rotating shallow water system