Abstract: The slow manifold of an inviscid five-mode model introduced by Lorenz is investigated. When the influence of the gravity modes on the Rossby modes is neglected, the analytical solution given by Lorenz and Krishnamurthy is ...

Abstract: Andrews and Hoskins used semigeostrophic theory to argue that the energy spectrum of a front should decay like the ?8/3 power of the wavenumber. They note, however, that their inviscid analysis is restricted to the very ...

Abstract: Using a simple separable model in which the mean wind U(y) is assumed to be a function of latitude only, those effects of latitudinal shear which do not depend on the vanishing of U(y) are examined for planetary waves in ...

Abstract: With the simplifying assumption that the mean zonal wind is a function of latitude only, numerical and analytical methods are applied to study the effects of critical latitudes (where the Doppler-shifted frequency is 0) ...

Abstract: Using the method of strained coordinates, a uniformly valid approximation to the nonlinear equatorial Kelvin wave is derived. It is shown that nonlinear effects are negligible for the Kelvin waves associated with the Gulf ...

Abstract: Using the method of multiple scales, I show that long, weakly nonlinear, equatorial Rossby waves are governed by either the Korteweg-deVries (KDV) equation (symmetric modes of odd mode number n) or the modified Korteweg-deVries ...

Abstract: Regional spectral models have previously periodized and blended limited-area data through ad hoc low-order schemes justified by intuition and empiricism. By using infinitely differentiable ?window functions? or ?bells? ...

Abstract: The previously known analytic solution for the unbounded plane Couette flow [i.e., a mean flow U(y)=Sy, S constant] is extended by 1) inclusion of the beta effect, and 2) more general initial conditions. It is shown that ...

Abstract: Some equatorially trapped motions cannot be modeled by the equatorial beta-plane. Our proof is a counter-example: if the zonal wavenumber m is large, barotropic Rossby-Haurwitz waves decay with latitude outside a narrow ...

Abstract: Modified Fourier series, as judged by criteria of accuracy, numerical efficiency and ease of programming, are the best choice of latitudinal expansion functions for general problems on the sphere. The pseudospectral and ...