Locally-induced nonlinear modes and multiple equilibria in planetary fluids

Details Locally-induced nonlinear modes and multiple equilibria in planetary fluids Locally-induced nonlinear modes and multiple equilibria in planetary fluids

Jun 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990papge.133..733y&link_type=abstract

Pure and Applied Geophysics PAGEOPH, Volume 133, Issue 4, pp.733-748

Physics

Geophysics

3

Nonlinear Coherent Structures, Modons, Ig Eddies, Local Multiple Equilibria, Long Rossby Waves, Potential Vorticity

Scientific paper

It is demonstrated that nonlinear Rossby modes, such as modons and IG eddies, can be excited in planetary fluids by a sufficiently strong forcing of potential vorticity. When a weak forcing is balanced with a weak dissipation, two (linear and nonlinear) equilibrium states can be produced, depending on the initial condition. When the fluid is inviscid, a sufficiently strong steady forcing may generate a sequence of propagating nonlinear eddies. A weak forcing, by contrast, only generates linear Rossby waves. The criterion which divides the high amplitude nonlinear state and the low amplitude linear state may be interpreted in terms of a ratio of a time necessary to force the eddy to a time for a fluid particle to circulate about the nonlinear eddy once.

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