Uniform boundness of global solutions for a n-dimensional spherically symmetric combustion model

ABSTRACT

This paper concerns a n-dimensional spherically symmetric model for the combustion of a viscous, compressible, radiative-reactive gas with a chemical kinetics equation. Under suitable assumptions, we establish some uniform-in-time estimates of global solutions to this model which improve some known results.

KEYWORDS:

• Spherical symmetry
• compressible fluids
• radiative-reacting gas
• uniform-in-time estimates

AMS SUBJECT CLASSIFICATIONS:

• 76N10
• 35Q30
• 35D30

Acknowledgements

The authors express sincere thanks to the editors and referees for their constructive comments and suggestions that helped to improve this paper.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

Baowei Feng was supported by the National Natural Science Foundation of China [grant number 11701465]. Xin-Guang Yang was supported by the National Natural Science Foundation of China [grant number 11726626].