EFFECT OF ROTATION ON RAYLEIGH-BENARD CONVECTION WITH LARGE PRANDTL NUMBER

Finite amplitude Rayleigh-Benard Convection in a rotating fluid have been investigated when the Prandtl number is large (sigma = O(1/epsilon) much greater than 1). In this limit of the Prandtl number, Hopf bifurcation is absent. The time-dependent one-dimensional Landau-Ginzburg equation was discussed near the onset of stationary convection (supercritical cusp bifurcation) in this limit. The steady-state solution of the Landau-Ginzburg equation, which describes the nonlinear behaviour of the convection, was obtained.