School of Mathematics and Statistics Science
Ludong University
Yantai, Shandong Province 264025, China
Phone +86 535 6697510. Fax +86 535 6681264
email: shenchun3641@sina.com
Chun Shen
Abstract:
This article concerns the study of the Riemann problem for a
two-dimensional non-strictly hyperbolic system of conservation laws.
The initial data are three constant states separated by three lines
and are chosen so that one of the three interfaces of the initial
data projects a planar delta shock wave. Based on the generalized
characteristic analysis, the global solutions are constructed
completely. The solutions reveal a variety of geometric structures
for the interactions of delta shock waves with rarefaction waves,
shock waves and contact discontinuities.
Submitted April 28, 2013. Published September 15, 2015.
Math Subject Classifications: 35L65, 35L67, 76N15.
Key Words: Conservation laws; delta shock wave; Riemann problem;
generalized characteristic analysis.
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Chun Shen School of Mathematics and Statistics Science Ludong University Yantai, Shandong Province 264025, China Phone +86 535 6697510. Fax +86 535 6681264 email: shenchun3641@sina.com |
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