Remarks on global smooth solutions to a 1D self-gravitating viscous radiative and reactive gas

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:408

Article

Qin, Yuming¹  Hu, Guili¹  Wang, Taige²  Huang, Lan³  Ma, Zhiyong⁴ 

[1] Donghua Univ, Coll Sci, Shanghai 201620, Peoples R China

[2] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

[3] North China Univ Water Sources & Elect Power, Coll Math & Informat Sci, Zhengzhou 450011, Peoples R China

[4] Shanghai Second Polytech Univ, Coll Sci, Shanghai 201209, Peoples R China

关键词: Global solutions;    Free-boundary problem;    Self-gravitation;    Radiative and reactive gas;    Lagrangian mass coordinates;   

DOI  :  10.1016/j.jmaa.2013.05.061

来源: Elsevier

【 摘 要 】

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 the results by Umehara and Tani [M. Umehara, A. Tani, Global solutions to one-dimensional equations for a self-gravitating viscous radiative and reactive gas, J. Differential Equations 234 (2007) 439-463; M. Umehara, A. Tani, Global solvability of the free-boundary problem for one-dimensional motion of a self-gravitating viscous radiative and reactive gas, Proc. Japan Acad. A 84 (2008) 123-128]. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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