Existence results for the radiation hydrodynamic equations with degenerate viscosity coefficients and vacuum (Q1743813)

The author considers the coupled system of Navier-Stokes-Boltzmann describing in the local thermodynamical equilibrium the evolution of the fluid field and the radiation field in high-temperature plasma. These compressible isentropic radiation hydrodynamic equations with density-dependent viscosity coefficients are consider for large initial data including vacuum appearing in the far field. Under some assumptions on the radiation coefficients, the local in time existence of a unique regular solution is shown. Then, a blow-up criterion for the regular solution is presented.