Stability of Two- and Three-Dimensional Time-Dependent Flows with Locally Uniform Strain Rates
Most steady flows with constant vorticity and elliptical streamlines are known to be unstable. These, and certain axisymmetric time-periodic flows, can be analysed by Floquet theory. However, Hoquet theory is inapplicable to other time-periodic flows that yield disturbance equations containing a quasi-periodic, rather than periodic, function. A practical method for surmounting this difficulty was recently given by Bayly, Holm & Lifshitz : we outline this and describe further flows that can be so treated.
Key wordsflow instability Floquet theory quasi-periodic potentials
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