Spherically symmetric flow for a viscous radiative and reactive gas in a field of potential forces with large initial data

Abstract

In this article, we are concerned with the asymptotic behavior of spherically symmetric solution of a viscous radiative and reactive gas in a field of external force in an unbounded domain exterior to the unit sphere in for n ≥ 3. The global solution is proved to exist uniquely and converges to the stationary solution as time tends to infinity for large initial data. It is crucial to deduce uniform positive lower and upper bounds on the specific volume and the temperature.