Stability of propagating modons for small-amplitude perturbations

Details Stability of propagating modons for small-amplitude perturbations Stability of propagating modons for small-amplitude perturbations

Mar 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phfl....3..408s&link_type=abstract

Physics of Fluids A (ISSN 0899-8213), vol. 3, March 1991, p. 408-414.

Physics

Geophysics

4

Flow Distortion, Flow Stability, Fluid Dynamics, Planetary Waves, Traveling Waves, Wave Propagation, Formalism, Froude Number, Geophysics

Scientific paper

A stability analysis based on Arnol'd-Liapunov arguments in a gauge-variable formalism is applied to a generalized form of propagating modons. The method was previously applied to the special case of Stern's modon in a quiescent background flow. The analysis presented here shows that propagating-modon solutions in the shallow-water equations are stable to small-amplitude perturbations, regardless of the sign of their translational speed, as long as this is much smaller in magnitude than the solid-rotation speed of the earth. Sufficient conditions for stability are that the given flow be quasigeostrophic, i.e., that the Rossby number be small, and that the associated Froude number be one order of magnitude smaller than the Rossby number.

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