Nonresonant case of intersection of bifurcation curves in the Couette-Taylor problem |
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Authors: | I V Morshneva S N Ovchinnikova |
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Institution: | 1.Southern Federal University,Rostov-on-Don,Russia |
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Abstract: | The nonresonant case (Res 0) of the motion of a viscous incompressible fluid between rotating coaxial cylinders in a small
neighborhood of a bifurcation point of codimension 2 is considered, where the amplitude system has only essential resonant
terms. Existence and stability conditions are obtained for its solutions which correspond to various periodic and quasiperiodic
solutions of the Navier-Stokes equations. In a small neighborhood of some points of the resonance Res 0, the regions of existence
and stability of these solutions are determined. |
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Keywords: | |
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