A Characterization Theorem in Rotatory Thermohaline Convection of Veronis Type in Porous Medium

The present paper mathematically establishes that rotatory thermohaline convection of the Veronis type in porous medium cannot manifest itself as oscillatory motion of growing amplitude in an initially bottom heavy configuration if the thermohaline Rayleigh number R_s, the Lewis number τ, the Prandtl number p₁, the porosity ε, satisfy the inequality R_s ≤ 4π² (1/P_l + τ/(E’εp₁)), where P_l and E’ are constants which depend upon porosity of the medium. It further establishes that this result is uniformly valid for the quite general nature of the bounding surfaces.