Titlebook: Shallow Water Waves on the Rotating Earth; Nathan Paldor Book 2015 The Author(s) 2015 Inertia-Gravity Waves.Kelvin Waves.Rossby Waves.Schr

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Planetary and Inertia-Gravity Waves in a Mid-latitude Channel on a Sphere,ether or how the inclusion of several latitude-dependent terms associated with the spherical geometry will modify the planar solution derived in Chap. 2 in which only the Coriolis frequency, .(.), was assumed to vary with latitude.

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Kelvin Waves on the Rotating Spherical Earth,4.4)] does not vanish, so the two first-order equations remain coupled. This is in contrast to Cartesian coordinates (both in mid-latitudes and on the equator) where the substitution . decouples the two equations by setting the coefficient of . in the equation for . [the second term in the top line on the RHS of (2.4)] equal to zero.

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Introduction,his traditional theory, the meridional structure of the amplitude of the zonally propagating waves is described only by harmonic functions (sin, cos, or exponentials) in mid-latitudes. This mid-latitude amplitude structure differs qualitatively from that on the equatorial .-plane where the structure

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Planetary and Inertia-Gravity Waves in an Equatorial Channel on a Sphere,n the .-plane approximation is relaxed and the same problem is studied in an equatorial channel on a sphere. This problem will not suffer from the limitation associated with the linear expansion of Coriolis frequency, ., but the price we should expect to pay for the more general approach is the much