Two dimensional relativistic Euler equations in a convex duct

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:461

Article

Luan, Liping¹  Chen, Jianjun²  Liu, Jianli³ 

[1] Shanghai Univ, Mat Genome Inst, Shanghai 200444, Peoples R China

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

[3] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

关键词: Relativistic Euler equations;    Simple wave;    Interaction;   

DOI  :  10.1016/j.jmaa.2018.01.033

来源: Elsevier

【 摘 要 】

In this paper, we investigate the motion of supersonic flow governed by 2-D steady isentropic irrotational relativistic Euler system entered, into a convex duct. We will give the propagation and interactions of rarefaction waves between the upward and downward wall and obtain the global existence of piecewise continuous solutions. Furthermore, in some cases the vacuum state may appear and we also give a sufficient condition to the appearance of the vacuum in finite domain. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free