Global spherically symmetric flows for a viscous radiative and reactive gas in an exterior domain
Publication date: Available online 9 November 2018
Source: Journal of Differential Equations
Author(s): Yongkai Liao, Tao Wang, Huijiang Zhao
We consider the equations for a viscous, compressible, radiative and reactive gas (pressure , internal energy ) over an unbounded exterior domain in , where is the space dimension. The existence, uniqueness, and large-time behavior of global spherically symmetric solutions are established for large initial data. The key point in the analysis is to deduce certain uniform a priori estimates on the solutions, especially on lower and upper bounds of the specific volume and temperature.