Structural stability of Riemann solutions for strictly hyperbolic systems with three piecewise constant states
This article concerns the wave interaction problem for a strictly hyperbolic system of conservation laws whose Riemann solutions involve delta shock waves. To cover all situations, the global solutions are constructed when the initial data are taken as three piecewise constant states. It is show...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/320/abstr.html |
| Summary: | This article concerns the wave interaction problem for a
strictly hyperbolic system of conservation laws whose Riemann
solutions involve delta shock waves. To cover all situations,
the global solutions are constructed when the initial data are taken
as three piecewise constant states. It is shown that the Riemann
solutions are stable with respect to a specific small perturbation of
the Riemann initial data.
In addition, some interesting nonlinear phenomena are captured during
the process of constructing the solutions, such as the generation and
decomposition of delta shock waves. |
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| ISSN: | 1072-6691 |