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 |
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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 |
| _version_ | 1818537025952808960 |
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| author | Ilija Jegdic Katarina Jegdic |
| author_facet | Ilija Jegdic Katarina Jegdic |
| author_sort | Ilija Jegdic |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T18:45:26Z |
| format | Article |
| id | doaj.art-e8e13e703f00472699c35ab0a44ce795 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T18:45:26Z |
| publishDate | 2016-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-e8e13e703f00472699c35ab0a44ce7952022-12-22T00:54:29ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-09-012016248,115Interacting rarefaction waves for the unsteady transonic small disturbance equationIlija Jegdic0Katarina Jegdic1 Texas Southern Univ., Houston, TX, USA Univ. of Houston - Downtown Houston, TX, USA 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.http://ejde.math.txstate.edu/Volumes/2016/248/abstr.htmlUnsteady transonic small disturbancemixed type systemrarefaction wavesshocks |
| spellingShingle | Ilija Jegdic Katarina Jegdic Interacting rarefaction waves for the unsteady transonic small disturbance equation Electronic Journal of Differential Equations Unsteady transonic small disturbance mixed type system rarefaction waves shocks |
| title | Interacting rarefaction waves for the unsteady transonic small disturbance equation |
| title_full | Interacting rarefaction waves for the unsteady transonic small disturbance equation |
| title_fullStr | Interacting rarefaction waves for the unsteady transonic small disturbance equation |
| title_full_unstemmed | Interacting rarefaction waves for the unsteady transonic small disturbance equation |
| title_short | Interacting rarefaction waves for the unsteady transonic small disturbance equation |
| title_sort | interacting rarefaction waves for the unsteady transonic small disturbance equation |
| topic | Unsteady transonic small disturbance mixed type system rarefaction waves shocks |
| url | http://ejde.math.txstate.edu/Volumes/2016/248/abstr.html |
| work_keys_str_mv | AT ilijajegdic interactingrarefactionwavesfortheunsteadytransonicsmalldisturbanceequation AT katarinajegdic interactingrarefactionwavesfortheunsteadytransonicsmalldisturbanceequation |