The scope of this article is to expose the stabilizing properties of rotation and solute gradient for the Bénard problem with (at least one-sided) rigid boundary conditions. We perform a linear investigation of the critical threshold for the rotating Bénard problem with a binary fluid, and we also make an investigation with a Lyapunov function for the particular problem of a rotating single fluid. In all the these cases an increase of the Taylor number has stabilizing effects
