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

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

2011-10-27

arxiv.org/abs/1110.6073v1

Mathematics

Analysis of PDEs

Scientific paper

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 $\kappa$ ($\kappa_1(1+\theta^q)\leq\kappa\leq \kappa_2(1+\theta^q),q\geq 0$), where $\theta$ is temperature. This improves the previous results by enlarging the scope of $q$ including the constant heat conductivity.

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