Convection, instabilities and dynamics

Thermal convection is a process that has a high degree of symmetry. When these symmetries are broken one-by-one with the increase of a control parameter a gradual and intricate transition to from simple states with few degrees of freedom to chaotic states and eventually to turbulence is observed. Instabilities are fascinating objects for both analytical and numerical study and much remains to learned due to the large number of parameters and thermal convection configurations that can be considered. We are particularly interested in the instabilities that arise at the interface of turbulent rotating convection and quiescent layers such as the Solar tachocline.