Global smooth solutions for the compressible viscous and heat-conductive gas

Qin, Yuming; Hu, Guili; Wang, Taige

doi:10.1090/S0033-569X-2011-01218-0

Authors: Yuming Qin, Guili Hu and Taige Wang
Journal: Quart. Appl. Math. 69 (2011), 509-528
MSC (2000): Primary 35B41
DOI: https://doi.org/10.1090/S0033-569X-2011-01218-0
Published electronically: May 6, 2011
MathSciNet review: 2850743
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Abstract: This paper is concerned with the global existence of smooth solutions to a system of equations describing one-dimensional motion of a self-gravitating, radiative and chemically reactive gas. We have proved that for any arbitrary large smooth initial data, the problem under consideration admits a unique globally smooth (classical) solution. Our results have improved those results by Umehara and Tani ([J. Differential Equations, 234(2007), 439-463; Proc. Japan Acad., 84, Ser. A(2008), 123-128]) and also by Qin, Hu, Huang, and Ma.

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