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Shock relations and conservative form of the hyperbolic equations of a relativistic gas conducting heat

โœ Scribed by G. Boillat


Publisher
Springer
Year
1978
Tongue
English
Weight
200 KB
Volume
2
Category
Article
ISSN
0377-9017

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โœฆ Synopsis


By increasing the number of field variables it is possible to write the field equations in a conservative form. The shock fronts as given by the Rankine-Hugoniot conditions propagate at speeds less than the velocity of light. Contact discontinuities no longer exist but other characteristic shocks do.

1. 1NTRODUCTION

When viscosity may be neglected the system of fluid equations,

* Equation (3) has also been used in association with Landau's energy-momentum tensor [6]. In the viscous case modified hyperbolic Navier-Stokes equations also exist [7]


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โœ Song Jiang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 584 KB

We consider initial boundary value problems for the equations of the one-dimensional motion of a viscous, heat -conducting gas with density -dependent viscosity that decreases (to zero) with decreasing density. We prove that if the viscosity does not decrease to zero too rapidly, then smooth solutio