Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

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


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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Additional Information

Yuming Qin
Affiliation: Department of Applied Mathematics, Donghua University, Shanghai 201620, People’s Republic of China
Email: yuming_qin@hotmail.com

Guili Hu
Affiliation: College of Sciences, Donghua University, Shanghai 201620, People’s Republic of China
Email: hgl-8507@163.com

Taige Wang
Affiliation: College of Sciences, Donghua University, Shanghai 201620, People’s Republic of China
Email: tigerwtg@hotmail.com

DOI: https://doi.org/10.1090/S0033-569X-2011-01218-0
Keywords: Global solution; free-boundary problem; self-gravitation; radiative gas; reactive gas; Lagrangian mass coordinate.
Received by editor(s): January 4, 2010
Published electronically: May 6, 2011
Additional Notes: The authors were supported in part by the NNSF Grant of China #10871040.
Article copyright: © Copyright 2011 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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