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Reflection of Shock Fronts in a van der Waals Fluid

Reflection of Shock Fronts in a van der Waals Fluid
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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 the1-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. 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.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2013年第6期927-956,共30页 数学年刊(B辑英文版)
基金 supported by the National Natural Science Foundation of China(No.10901107) the Innovation Program of Shanghai Municipal Education Commission(No.213ZZ136)
关键词 波阵面 流体 反射现象 冲击强度 动力系统 相边界 亚音速 多层面 Shock, Subsonic phase boundary, Reflection, Boundary value problem
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