%0 Journal Article %T Some results in the nonlinear stability for rotating B¨Śnard problem with rigid boundary condition %A Paolo Falsaperla %A Andrea Giacobbe %A Giuseppe Mulone %J Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali %D 2013 %I Accademia Peloritana dei Pericolanti %R 10.1478/aapp.91s1a9 %X The scope of this article is to expose the stabilizing properties of rotation and solute gradient for the B¨Śnard problem with (at least one-sided) rigid boundary conditions. We perform a linear investigation of the critical threshold for the rotating B¨Śnard 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. %U http://dx.doi.org/10.1478/AAPP.91S1A9