Weakly nonlinear rotating-convection roll stability (source code)

= Weakly nonlinear rotating-convection roll stability

A saturated <convection roll> is not stable merely because its single-amplitude cubic coefficient is positive. Perturbations include phase sidebands, transverse bending, differently oriented <convection rolls>, oscillatory modes and large-scale <Eulerian mean flow>. Their growth rates follow from the corresponding enlarged <amplitude equations> or the full <linearization> about the <convection roll>. <Küppers–Lortz instability> and <small-angle instability of rotating convection rolls> are distinct orientation-dependent mechanisms.