The asymptotical analysis of the mathematical model of the fluid flow in the elastic pipe
In this paper the model of the fluid flow in elastic pipe is studied. This model is described by the system of hyperbolic equations. The asymptotic analysis of these equations allows to investigate the conditions of the interaction of waves in the resonance case. The averaged system of integrodiffer...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2011-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/15368 |
| _version_ | 1811275790993588224 |
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| author | Aleksandras Krylovas Rima Kriauzienė |
| author_facet | Aleksandras Krylovas Rima Kriauzienė |
| author_sort | Aleksandras Krylovas |
| collection | DOAJ |
| description | In this paper the model of the fluid flow in elastic pipe is studied. This model is described by the system of hyperbolic equations. The asymptotic analysis of these equations allows to investigate the conditions of the interaction of waves in the resonance case. The averaged system of integrodifferential equations is constructed to find the uniformly valid asymptotic solution in the long time interval and large interval of the dimensional variable. |
| first_indexed | 2024-04-12T23:44:08Z |
| format | Article |
| id | doaj.art-d198a893b1834d8bb0c5b6f013347f90 |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-04-12T23:44:08Z |
| publishDate | 2011-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-d198a893b1834d8bb0c5b6f013347f902022-12-22T03:11:54ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2011-12-0152proc. LMS10.15388/LMR.2011.dl03The asymptotical analysis of the mathematical model of the fluid flow in the elastic pipeAleksandras Krylovas0Rima Kriauzienė1Mykolo Romerio universitetasMykolo Romerio universitetasIn this paper the model of the fluid flow in elastic pipe is studied. This model is described by the system of hyperbolic equations. The asymptotic analysis of these equations allows to investigate the conditions of the interaction of waves in the resonance case. The averaged system of integrodifferential equations is constructed to find the uniformly valid asymptotic solution in the long time interval and large interval of the dimensional variable.https://www.journals.vu.lt/LMR/article/view/15368asymptotical analysisaveraginginteraction of wavesresonancethe systems of hyperbolicequations |
| spellingShingle | Aleksandras Krylovas Rima Kriauzienė The asymptotical analysis of the mathematical model of the fluid flow in the elastic pipe Lietuvos Matematikos Rinkinys asymptotical analysis averaging interaction of waves resonance the systems of hyperbolicequations |
| title | The asymptotical analysis of the mathematical model of the fluid flow in the elastic pipe |
| title_full | The asymptotical analysis of the mathematical model of the fluid flow in the elastic pipe |
| title_fullStr | The asymptotical analysis of the mathematical model of the fluid flow in the elastic pipe |
| title_full_unstemmed | The asymptotical analysis of the mathematical model of the fluid flow in the elastic pipe |
| title_short | The asymptotical analysis of the mathematical model of the fluid flow in the elastic pipe |
| title_sort | asymptotical analysis of the mathematical model of the fluid flow in the elastic pipe |
| topic | asymptotical analysis averaging interaction of waves resonance the systems of hyperbolicequations |
| url | https://www.journals.vu.lt/LMR/article/view/15368 |
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