Abstract: The problem of finding higher-order generalizations of the quasigeostrophic and semigeostrophic models, that is, higher-order balanced models, is investigated systematically by using a slaving principle. It is shown that ...

Abstract: Idealized laboratory experiments reveal the existence of forced?dissipative hybrid Rossby-shelf modes. The laboratory ocean consists of a deeper ocean (accommodating basin-scale Rossby modes) and a coastal step shelf ...

Abstract: The concept of a slowest invariant manifold is investigated for the five-component model of Lorenz under conservative dynamics. It is shown that Lorenz's model is a two-degree-of-freedom canonical Hamiltonian system, ...

Abstract: Flows on coastal shelves and in the deep interior ocean are often considered separately, but transport of fluid between these two regions can have important biologial or environmental consequences. This paper considers a ...