The linear stability of shock waves in a radiating relativistic gas is analyzed. According to the ratio between the sound speed and gas speed behind and ahead the front of discontinuity. the radiative shocks are classified as slow and fast shock waves respectively. With the help of the technique of dissipative energy integrals, it is proved that the fast shock waves are stable, An ill-posedness example for stability problem for slow shocks is constructed.

Shock wave stability in relativistic radiation hydrodynamics

ROMANO, Vittorio;
1997-01-01

Abstract

The linear stability of shock waves in a radiating relativistic gas is analyzed. According to the ratio between the sound speed and gas speed behind and ahead the front of discontinuity. the radiative shocks are classified as slow and fast shock waves respectively. With the help of the technique of dissipative energy integrals, it is proved that the fast shock waves are stable, An ill-posedness example for stability problem for slow shocks is constructed.
1997
Eddington factor; relativistic radiation hydrodynamics; hyperbolic systems; shock waves
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/2278
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