Three different approximations to the axisymmetric small-disturbance dynamics of a
uniformly rotating thin spherical shell are studied for the equatorial region assuming time …

It is known that a non-viscous homogeneous fluid confined to a rotating spherical shell
neither possesses a discrete eigenvalue spectrum nor smooth eigenmodes. Mathematically …

Internal waves are ubiquitous in the ocean and play an essential role in the transport of
energy and mixing. Their peculiar reflection enables the concentration of energy on a limit …

In a uniformly rotating fluid, inertial waves propagate along rays that are inclined to the
rotation axis by an angle that depends on the wave frequency. In closed domains, multiple …

Stratified and rotating fluids support obliquely propagating internal waves. A symmetry-
breaking shape of the fluid domain focuses them on a wave attractor. For a trapezoidal …

Linear waves in bounded inviscid fluids do not generally form normal modes with regular
eigenfunctions. Examples are provided by inertial waves in a rotating fluid contained in a …

We present an experimental analysis of the linear and nonlinear regimes of an attractor of
inertial waves in a trapezoidal cavity under rotation. Varying the rotation rate and the forcing …

In both Boussinesq and non-Boussinesq cases the Green's function of internal gravity waves
is calculated, exactly for monochromatic waves and asymptotically for impulsive waves …

Characteristic curves of partial differential equations (PDEs) in general differ from short wave
energy rays. We give conditions for linear, two dimensional second order PDEs that …

(1) will be shown to be a non-hydrostatic exact solution of the inviscid equations of motion in
a. rotating spherical shell of fluid. In (1) r, 8, and pl are spherical polar coordinates, k is the …