Reflection of shock fronts in a van der Waals fluid

被引：2
|
作者：
Zhang, Shuyi [1 ]
Wang, Yaguang [2 ]
机构：
[1] Shanghai Univ Int Business & Econ, Business Informat Management Sch, Shanghai 201620, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2013年 / 34卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Shock; Subsonic phase boundary; Reflection; Boundary value problem; PROPAGATING PHASE BOUNDARIES; CONSERVATION-LAWS; TRANSITIONS; EXISTENCE; STABILITY; SYSTEM;
D O I：
10.1007/s11401-013-0799-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the reflection phenomenon of a vapor shock front (both sides of the front are in the vapor phase) in a van der Waals fluid is considered. Both the 1-dimensional case and the multidimensional case are investigated. The authors find that under certain conditions, the reflected wave can be a single shock, or a single subsonic phase boundary, or one weak shock together with one subsonic phase boundary, which depends on the strength of the incident shock. This is different from the known result for the reflection of shock fronts in a gas dynamical system due to Chen in 1989.
引用
收藏
页码：927 / 956
页数：30
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