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| Reflection of Shock Fronts in a van der Waals Fluid |
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Citation： |
Shuyi ZHANG,Yaguang WANG.Reflection of Shock Fronts in a van der Waals Fluid[J].Chinese Annals of Mathematics B,2013,34(6):927~956 |
| Page view： 1716
Net amount： 1084 |
Authors： |
Shuyi ZHANG; Yaguang WANG; |
Foundation： |
National Natural Science Foundation of China (No. 10901107) and the InnovationProgram of Shanghai Municipal Education Commission (No. 213ZZ136). |
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| Abstract： |
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. |
Keywords： |
Shock, Subsonic phase boundary, Reflection, Boundary value problem |
Classification： |
35L45, 35L50 |
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