We propose a new, simple model–but one which has far-reaching consequences–to
describe the interaction between waves that propagate across the Pacific Ocean and the …

This paper reviews some recent mathematical research activity in the field of nonlinear
geophysical water waves. In particular, we survey a number of exact Gerstner-like solutions …

This review makes a case for describing many of the flows observed in our oceans, simply
based on the Euler equation, with (piecewise) constant density and with suitable boundary …

The general problem of an ocean on a rotating sphere is considered. The governing
equations for an inviscid, incompressible fluid, written in spherical coordinates that are fixed …

Some Nonlinear, Equatorially Trapped, Nonhydrostatic Internal Geophysical Waves in: Journal
of Physical Oceanography Volume 44 Issue 2 (2014) Jump to Content Jump to Main Navigation …

The problem of flow moving purely in the azimuthal direction on a sphere is considered. An
exact solution for an incompressible (constant density), inviscid fluid, which admits a velocity …

Using the salient properties of the flow observed in the equatorial Pacific as a guide, an
asymptotic procedure is applied to the Euler equation written in a suitable rotating frame …

In this paper we present an exact and explicit nonlinear solution of a-plane approximation to
the governing equations which retains all Coriolis terms. The solution represents an …

We obtain a complete solution to the problem of classifying all two-dimensional ideal fluid
flows with harmonic Lagrangian labelling maps; thus, we explicitly provide all solutions, with …

We are concerned here with an exact solution to the governing equations for geophysical
fluid dynamics in spherical coordinates, which incorporates discontinuous fluid stratification …