| Popis: |
In this paper, we consider the asymptotic stability of rarefaction wave to the equilibrium diffusion limit equations without viscosity from radiation hydrodynamic. The present pressure includes a fourth order term about the absolute temperature from radiation effect as well as the ideal polytropic part, which brings the main difficulty to prove the asymptotic stability of the rarefaction wave. To overcome it, we impose an additional restriction condition on the density and the temperature at the far field, see (1.14) . This condition is sufficient to achieve the a priori estimates of the solutions. |
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