In this article, a Eulerian model for the atomization of a liquid jet is proposed. Atomization is considered as turbulent mixing in a flow with variable density in the limit of large Reynolds and Weber numbers. An assumption similar to the Kolmogorov hypothesis has been invoked: large-scale features of the flow are supposed to he independent of viscosity and surface tension at high Reynolds and Weber numbers; small-scale features do depend on viscosity and surface tension. Dispersion of the liquid in the gas phase is computed by a classical equation for the turbulent diffusion flux of the liquid. The mean size of the liquid fragments is obtained with a new equation for the mean surface area of the liquid-gas interface per unit of volume. Discussions concerning this new equation are presented. Several comparisons with experiments are presented, concerning the liquid dispersion as well as the mean size of fragments produced.