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

Under consideration here are time-dependent three-dimensional stratified water flows of
finite depth with a free surface and an interface (playing the role of an internal wave and …

This paper is concerned with some analytical aspects pertaining to the Antarctic Circumpolar
Current. We use spherical coordinates in a rotating frame to derive a new exact and partially …

We consider here time-dependent three-dimensional stratified geophysical water flows of
finite depth over a variable bottom with a free surface and an interface (separating two layers …

This paper is concerned with the construction of a new exact solution to the geophysical fluid
dynamics governing equations for inviscid and incompressible fluid in the equatorial region …

When studying water waves travelling over an inviscid fluid at the Earth's surface there are
additional Coriolis and centrifugal forces which influence the motion of the fluid particles. In …

We use spherical coordinates to devise a new exact solution to the governing equations of
geophysical fluid dynamics for an inviscid and incompressible fluid with a general density …

We study steady periodic water waves with variable vorticity and density, where we allow for
stagnation points in the flow, and where we admit the capillarity effects of surface tension …

We consider steady periodic water waves with vorticity which propagate over a flat bed with
a specified fixed mean-depth d> 0. Following a novel reformulation of the governing …

In this paper we consider two-dimensional, stratified, steady water waves propagating over
an impermeable flat bed and with a free surface. The motion is assumed to be driven by …