On properties of the Navier–Stokes equations

摘要

The main feature of our analysis consists in the fact that, the equation of state is taking into consideration and notice that a consequent application of the Lie-group-based similarity method put us into a position to construct the most general classes of similarity solutions for our problem.In addition, we could give a group classification with respect to the function f(ρ) and of some special classes of solution discussed.