Interacting rarefaction waves for the unsteady transonic small disturbance equation
We consider a Riemann problem for the unsteady transonic small disturbance equation that results in two rarefaction waves. We write the problem in self-similar and parabolic coordinates and we obtain a system that changes type from hyperbolic to elliptic. We use the characteristic decomposit...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/248/abstr.html |
| Summary: | We consider a Riemann problem for the unsteady transonic small disturbance
equation that results in two rarefaction waves. We write the problem in
self-similar and parabolic coordinates and we obtain a system that changes
type from hyperbolic to elliptic. We use the characteristic decomposition
equations to study the complicated interaction of these two rarefaction waves
in the hyperbolic region. We obtain local existence of the solution and
we derive various properties of the solution and of the characteristic curves. |
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| ISSN: | 1072-6691 |