Riemann problem for a two-dimensional quasilinear hyperbolic system
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 sh...
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| Format: | Article |
| Language: | English |
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Texas State University
2015-09-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/237/abstr.html |
| Summary: | 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. |
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| ISSN: | 1072-6691 |