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Planetary waves in a polar ocean
2011The dynamics of the Arctic ocean are studied on a polar projection of the sphere. The density structure is idealized as a two-layer system, and a general formulation is developed which allows inclusion of latitudinal and longitudinal depth variations as well as asymmetries in the boundaries of the ocean.
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Tropopause Dynamics and Planetary Waves
Journal of the Atmospheric Sciences, 1994Abstract A simple model of the large-scale atmospheric circulation is studied. The model is based on the observation that the potential vorticity changes rapidly at the tropopause. This observation underlies the assumption that the potential vorticity on an isentropic surface, cutting through the tropopause, is piecewise uniform with a discontinuity at
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Planetary waves on a rotating sphere
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1964Abstract Simple solutions are found for barotropic planetary oscillations of a fluid in a β-plane, both in the unbounded plane and in enclosed basins of various shapes. These are com pared with analogous motions of fluid on the surface of a sphere. The motions in a β-plane are considered in part I.
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Planetary Waves and Zonal Asymmetries
2017PLANETARY WAVES ARE LARGE-SCALE ROSSBY WAVES in which the potential vorticity gradient is provided by differential rotation (i.e., the beta-effect). They are ubiquitous in Earth's atmosphere and almost certainly in other planetary atmospheres. They propagate horizontally over the two Poles, and they propagate vertically into the stratosphere and ...
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Solitary and cnoidal planetary waves
Geophysical Fluid Dynamics, 1971Abstract A class of long planetary waves in a zonal channel analogous to the solitary and cnoidal waves of surface and internal gravity wave theory is discussed. On a mid-latitude β-plane, such waves exist as the result of divergence, non-uniform zonal velocity fields or bottom topography.
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