Abstract: The Lagrangian form of the semigeostrophic equations has been shown to possess discontinuous solutions that have been exploited as a simple model of fronts and other mesoscale flows. In this paper, it is shown that these ...

Abstract: The initial-value problem for Eady's model is reexamined using a two-dimensional (x, z) Lagrangian semigeostrophic model. A basic-flow state in a periodic domain with a perturbation field imposed is represented by piecewise ...

Abstract: The semigeostrophic equations are a filtered approximation to the primitive equations that have been applied with considerable success to the study of atmospheric frontogenesis and, increasingly, to the study of the influence ...

Abstract: The classical concept of hydrodynamic stability is reviewed in the light of recent developments in semigeostrophic theory. A certain Jacobian matrix is required to be positive-definite if solution of the semigeostrophic ...

Abstract: The Lagrangian conservation law form of the semi-geostrophic equations used by Hoskins and others is studied further in two and three dimensions. A solution of the inviscid equations containing discontinuities corresponding ...

Abstract: A forecast intercomparison study using the same six initial states as were used for a study by Baumhefner and Downey (1978) was carried out using the United Kingdom (UK) Meteorological Office operational 10-level model, ...