The principle difference between suggested equations and classical ones for the description of continuous mechanics consists in consideration of the angular moment variation in an elementary volume, as usually it is disregarded. The main attention is given to the analysis of deduction the Navier-Stokes equations and the Boltzmann equation which are the same general conservation laws for mass, linear momentum, and energy; besides these equations have the common region of definition. The main attention is given to interaction of nonstationary and dispersion effects in the laminar boundary layer for classical equation of density and classical nonstationary operator. Such problem as compression of ideal hard plastic (Prandtl problem) is also considered.