The Non-selfsimilar Riemann Problem for 2-D Zero-Pressure Flow in Gas Dynamics*

被引:2
|
作者
Wenhua Sun
Wancheng Sheng
机构
[1] Shandong University of Technology,School of Mathematics and Information Sciences
[2] Shanghai University,Department of Mathematics
关键词
Zero-pressure flow; Non-selfsimilar Riemann problem; Generalized Rankine-Hugoniot relation; Entropy condition; Delta shock; 35L65; 76N10;
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摘要
The non-selfsimilar Riemann problem for two-dimensional zero-pressure flow in gas dynamics with two constant states separated by a convex curve is considered. By means of the generalized Rankine-Hugoniot relation and the generalized characteristic analysis method, the global solution involving delta shock wave and vacuum is constructed. The explicit solution for a special case is also given.
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页码:701 / 708
页数:7
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