The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:455

Article

Guo, Lihui¹  Li, Tong²  Yin, Gan³ 

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[3] Zhejiang Univ Sci & Technol, Dept Math, Hangzhou 310023, Zhejiang, Peoples R China

关键词: Generalized Chaplygin gas;    Pressureless gas dynamics model;    Non-self-similar;    Riemann problem;    Delta shock wave;    Vacuum state;   

DOI  :  10.1016/j.jmaa.2017.05.048

来源: Elsevier

【 摘 要 】

The paper is concerned with the limit behavior of the Riemann solutions to the inhomogeneous generalized Chaplygin gas equations. The formation of delta shock waves and the vacuum states are identified and analyzed as the pressure vanishes. Unlike the homogeneous case, the Riemann solutions are no longer self-similar. As the pressure vanishes, the Riemann solutions to the generalized Chaplygin gas equations with a friction term converge to the Riemann solutions to the pressureless gas dynamics model with a body force. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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