Abstract
In this paper, we investigate the formation of singularity for two dimensional classical solutions of rotating shallow water system from several aspects. First, the formation of singularity for two dimensional solutions is proved via the analysis on the governing equations for the associated moments. Second, the formation of singularity for the solutions with cylindrical symmetry is established by the weighted energy estimate for the moments when the initial data has compact support. Finally, if the cylindrical symmetric solutions are of the form with separated variables, the global existence or formation of singularity for the classical solutions of the rotating shallow water system is obtained with the aid of the analysis on the invariants of the solutions.
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