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

Authors
Song, Chang Ming Li, Hong Zhang, Jian Lin
Citation
Song, Chang Ming et al., Global Existence and Asymptotic Behavior of Solutions to a Free Boundary Problem for the 1D Viscous Radiative and Reactive Gas, Acta mathematica Sinica. English series (Print) , 34(5), 2018, pp. 827-842
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
5
Year of publication
2018
Pages
827 - 842
Database
ACNP
SICI code
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.