Stability of the Riemann solutions for a Chaplygin gas

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:409

Article

Qu Aifang¹  Wang Zhen¹ 

[1] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

关键词: Stability;    Delta wave;    Chaplygin gas;    Riemann problem;    Wave interaction;   

DOI  :  10.1016/j.jmaa.2013.07.018

来源: Elsevier

【 摘 要 】

In this paper, we study the structural stability of solutions to the Riemann problem for one-dimensional isentropic Chaplygin gas. We perturb the Riemann initial data by taking three piecewise constant states and construct the global structure. By letting the perturbed parameter epsilon tend to zero, we prove that the Riemann solutions are stable under the local small perturbations of the Riemann initial data even when the initial perturbed density depending on the parameter but with no mass concentration limit. (C) 2013 Elsevier Inc. All rights reserved.

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