AN ALPHA-OMEGA-MODEL OF THE SOLAR DIFFERENTIAL ROTATION

We combined a new theory of the LAMBDA-effect with mixing-length descr iption of the solar convection zone to develop a model of the Sun's di fferential rotation. Only two adjustable parameters are involved: the coefficient alpha(MLT) of the known mixing-length relation, l = alpha( MLT)H(p), and the mean angular velocity, OMEGA. Both parameters are ne arly fixed for the Sun. Nevertheless, the alphaOMEGA-model is successf ul in reproducing both the helioseismology inversions of the internal solar rotation and the observed angular velocity distribution at the s urface. This encouraged us to proceed with simulating the rotation law s for the rapidly rotating ''young Sun'' and slowly rotating ''old'' o ne. The angular velocity distribution for the former case is close to the present-day state. Our prediction for the old Sun is a negligible latitudinal rotation profile and a pronounced super-rotation in radius .