Abstract Changes in the Earth's rotation are deeply connected to fluid dynamical processes
in the outer core. This connection can be explored by studying the associated Earth …

Fast changes of Earth's magnetic field could be explained by inviscid and diffusion‐less
quasi‐geostrophic (QG) Magneto‐Coriolis modes. We present a hybrid QG model with …

Motivated by modelling rotating turbulence in planetary fluid layers, we investigate
precession-driven flows in ellipsoids subject to stress-free boundary conditions (SF-BC). The …

Pancake-like vortices are often generated by turbulence in geophysical flows. Here, we
study the inertia-gravity oscillations that can exist within such geophysical vortices, due to …

The generation of mean flows is a long-standing issue in rotating fluids. Motivated by
planetary objects, we consider here a rapidly rotating fluid-filled spheroid, which is subject to …

We investigate the pressure torque between the fluid core and the solid mantle arising from
magnetohydrodynamic modes in a rapidly rotating planetary core. A 2-D reduced model of …

The acoustic spectrum of a gas-filled resonating cavity can be used to indirectly probe its
internal velocity field. This unconventional velocimetry method is particularly interesting for …

The bounded oscillations of rotating fluid-filled ellipsoids can provide physical insight into
the flow dynamics of deformed planetary interiors. The inertial modes, sustained by the …

Planetary magnetic fields are generated by motions of electrically conducting fluids in their
interiors. The dynamo problem has thus received much attention in spherical geometries …

We reprove the fact, due to Backus, that the Poincar {\'e} operator in ellipsoids admits a pure
point spectrum with polynomial eigenfunctions. We then show that the eigenvalues of the …