Discontinuous solutions of the NavierStokes equations for gases
Abstract
A consequence of the partially hyperbolic character of NavierStokes problems involving compressible flows is the possibility of the existence of discontinuities, at least in the linearized case. An analysis shows that the discontinuous density fields predicted by the NavierStokes system cannot satisfy the complete Boltzmann equation of the kinetic theory. It is found that the partially hyperbolic character of the NavierStokes system does not correspond to real physical effects. It is rather a consequence of the approximations used in the ChapmanEnskog procedure.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 November 1975
 Bibcode:
 1975STIA...7611855S
 Keywords:

 Compressible Flow;
 Gas Flow;
 Hyperbolic Differential Equations;
 NavierStokes Equation;
 Viscous Flow;
 Boltzmann Transport Equation;
 ChapmanEnskog Theory;
 Decay Rates;
 Fluid Mechanics and Heat Transfer