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Global solutions of a radiative and reactive gas with self-gravitation for higher-order kinetics

The existence of global solutions is established for compressible Navier-Stokes equations by taking into account the radiative and reactive processes, when the heat conductivity $κ$ ($κ_1(1+θ^q)\leqκ\leq κ_2(1+θ^q),q\geq 0$), where $θ$ is temperature. This improves the previous results by enlarging the scope of $q$ including the constant heat conductivity.