Discontinuous solutions of the Navier-Stokes equations for gases
Abstract
A consequence of the partially hyperbolic character of Navier-Stokes 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 Navier-Stokes system cannot satisfy the complete Boltzmann equation of the kinetic theory. It is found that the partially hyperbolic character of the Navier-Stokes system does not correspond to real physical effects. It is rather a consequence of the approximations used in the Chapman-Enskog procedure.
- Publication:
-
NASA STI/Recon Technical Report A
- Pub Date:
- November 1975
- Bibcode:
- 1975STIA...7611855S
- Keywords:
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- Compressible Flow;
- Gas Flow;
- Hyperbolic Differential Equations;
- Navier-Stokes Equation;
- Viscous Flow;
- Boltzmann Transport Equation;
- Chapman-Enskog Theory;
- Decay Rates;
- Fluid Mechanics and Heat Transfer