Stationary adiabatic flows of real gases issued from a source of given intensity are studied. Thermodynamic states of gases are described by Legendrian or Lagrangian manifolds. Solutions of Euler equations are given implicitly for any equation of state and the behavior of solutions of the Navier–Stokes equations with the viscosity considered as a small parameter is discussed. For different intensities of the source we introduce a small parameter into the Navier–Stokes equation and construct corresponding asymptotic expansions. We consider the most popular model of real gases—the van der Waals model, and ideal gases as well.
Analysis and Mathematical Physics – Springer Journals
Published: Dec 23, 2019