On the Principle of the Exchange of Stabilities in Rotatory Triply Diffusive Convection

The present paper mathematically establishes that the principle of the exchange of stabilities in a rotatory triply diffusive convection is valid in the regime \( \frac{{R_{1} \sigma }}{{2\tau_{1}^{2} \pi^{4} }} + \frac{{R_{2} \sigma }}{{2\tau_{2}^{2} \pi^{4} }} + \frac{{T_{a} }}{{\pi^{4} }} \le 1, \) where R 1 and R 2 are the Rayleigh numbers for the two concentration components, τ 1 and τ 2 are the Lewis numbers for the two concentration components, T a is the Taylor number and σ is the Prandtl number.