3 years ago

Global spherically symmetric flows for a viscous radiative and reactive gas in an exterior domain

Yongkai Liao, Tao Wang, Huijiang Zhao

Publication date: Available online 9 November 2018

Source: Journal of Differential Equations

Author(s): Yongkai Liao, Tao Wang, Huijiang Zhao

Abstract

We consider the equations for a viscous, compressible, radiative and reactive gas (pressure P=Rρθ+aθ4/3, internal energy e=cvθ+aθ4/ρ) over an unbounded exterior domain in Rn, where n2 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.

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