Electronic Resource
New York, NY
:
American Institute of Physics (AIP)
Physics of Fluids
3 (1991), S. 408-414
ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
A stability analysis based on Arnol'd–Lyapunov 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.858096
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