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- W2149193729 abstract "We address weakly nonlinear stability of a uniformly rotating ow conned in a cylinder of elliptic cross-section to three-dimensiona disturbances. A Lagrangian approach is developed to derive unambiguously the drift current induced by nonlinear interaction of isovortical disturbances. This approach rescues the insufficiency inherent in the Eulerian approach and provides a direct path to reach the amplitude equations in the Hamiltonian normal form. The nonlinear effect saturates the stationary instability mode, and asymptotic form of its saturation amplitude is gained, in a tidy form, in the short-wavelength regime." @default.
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- W2149193729 date "2010-03-02" @default.
- W2149193729 modified "2023-09-27" @default.
- W2149193729 title "Weakly nonlinear saturation of stationary resonance of a rotating flow in an elliptic cylinder" @default.
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