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Acta Mathematica Sinica, English Series

, Volume 34, Issue 5, pp 827–842 | Cite as

Global Existence and Asymptotic Behavior of Solutions to a Free Boundary Problem for the 1D Viscous Radiative and Reactive Gas

  • Chang Ming Song
  • Hong Li
  • Jian Lin Zhang
Article

Abstract

In this paper, we study a free boundary problem for the 1D viscous radiative and reactive gas. We prove that for any large initial data, the problem admits a unique global generalized solution. Meanwhile, we obtain the time-asymptotic behavior of the global solutions. Our results improve and generalize the previous work.

Keywords

Radiative and reactive gases global solution free boundary problem asymptotic behavior 

MSMR(2010) Subject Classification

35Q30 35R35 35D35 76N10 

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Notes

Acknowledgements

We thank the referees for their time and valuable comments.

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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Department of Applied Mathematics, College of ScienceZhongyuan University of TechnologyZhengzhouP. R. China
  2. 2.Department of Applied Physics, College of ScienceZhongyuan University of TechnologyZhengzhouP. R. China

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