Characterization of rotatory hydrodynamic triply diffusive convection

The present paper mathematically establishes that rotatory hydrodynamic triply diffusive convection with one of the components as heat with diffusivity κ cannot manifest as oscillatory motions of growing amplitude in an initially bottom heavy configuration if the two concentration Rayleigh numbers R₁ and R₂, the Lewis numbers τ1 and τ2 for the two concentrations with diffusivities κ1 and κ2, respectively (with no loss of generality κ>κ1>κ2) and the Prandtl number σ satisfy the inequality R1+R2≤27π441+τ1+τ2σ1+τ1τ22. It is further established that this result is uniformly valid for the quite general nature of the bounding surfaces.