We consider the dynamics of a set of reduced equations describing the evolution of a
magnetised, rotating stably stratified fluid layer, atop a stagnant dense, perfectly conducting …

A previous model of a two-dimensional, stratified dipole is applied to a cylindrical vortex of
dense fluid traveling across the lower boundary of a semi-infinite, unstratified ambient. The …

Unsteady nonlinear shallow-water flows typically emit inertia-gravity waves through a
process called “spontaneous adjustment-emission.” This process has been studied …

We examine the late-time evolution of an inviscid zonally symmetric shallow-water flow on
the surface of a rotating spherical earth. An arbitrary initial condition radiates inertia–gravity …

In the present paper, Green-Naghdi (GN) model is applied to investigate the movement of
particles in a basin with flat and non-flat bathymetry. Two numerical discretisation, second …