Overshooting in Stars: Five Old Fallacies and a New Model

First, I discuss five fallacies of previous theoretical attempts to quantify overshooting in stars. I then suggest that the only reliable procedure is to solve the five dynamic equations for convective flux, kinetic and potential energy, turbulent pressure and dissipation rate of kinetic energy, plus the mean temperature equation. Finally, I discuss a recent solution of the new model that agrees with the latest helioseismological OV data and suggest that the same data be used to check the validity of the Schwarzschild criterion.