Models of Stellar structure for asteroseismology

Among the problems still open in the study of stellar structure, we discuss in particular some issues related to the study of convection. We have recently built up complete stellar models, adopting a consistent formulation of convection both in the non gray atmosphere and in the interior, to be used for non adiabatic pulsational analysis, and discuss in some details two problems which have been clarified by these models: the physical interpretation of one of the main sequence "Boehm-Vitense gaps", and the necessity of parametrizing pre main sequence convection differently from the main sequence convection. We also report preliminary results of the application to the solar model of the non--local turbulence equations by Canuto and Dubovikov (1998) in the down-gradient approximation.