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  • Author or Editor: Bruce J. West x
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J. Alex Thomson
and
Bruce J. West

Abstract

The one-dimensional interaction of surface gravity waves with nondispersive internal waves is studiedin a linear approximation by solving the equations of motion in a coordinate system moving with the time-independent surface current system induced by the internal wave. A range of surface wavelengths is foundwhich is reflected by the current system (as seen in this coordinate system). In the ocean-fixed frame thesewaves are identified as waves which interact strongly with the internal waves and exchange energy with it.The effect on the surface wave, pattern and the relation to surface slicks is discussed.

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Katja Lindenberg
and
Bruce J. West

Abstract

Herein we present the first systematic derivation of stochastic mode rate equations for a geophysical hydrodynamic system. Coarse graining concepts from nonequilibrium statistical mechanics are applied to the vorticity equations for barotropic motion on a β-plane. The projection of the initial field equations onto a restricted subspace yields nonlinear stochastic mode rate equations for the physical observables with completely determined statistical properties. It is shown that the usual assumptions of ergodicity and Markovicity are valid only under some very restrictive conditions.

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