The stability of ideal incompressible rotating fluid is considered in linear approximation. It is shown, that eigenfrequency square for axisymmetric disturbances is restricted above by module as for stable so unstable flow. The eigenfrequencies can be enumerate by module reduction from zero for maximum eigenfrequency. The eigenfunction numbers by radius are equal (according to Sturm theory) to eigenfrequency number. As illustration, we calculate eigenfrequencies and eigenfunctions for Taylor-Couette flow with different stability properties.. Keywords: stability, Taylor-Couette flow, incompressible fluid.
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