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Multi-petal, rotating vortices can form in two- dimensional flows consisting of an inviscid incompressible fluid under certain conditions. Such vortices are principally nonlinear thermo-hydrodynamical structures. The proper ro- tation of these structures which leads to time-dependent vari- ations of the associated temperature field can be enregistred by a stationary observer. The problem is analyzed in the framework of the contour dynamics method (CDM). An an- alytical solution of the reduced equation for a contour curva- ture is found. We give a classification of the solutions and compare the obtained results with observational data.

Cyclostrophic vortices in polar regions of rotating planets