Propagation of the initial value perturbation in a cylindrical lined duct carrying a gas flow
For the homogeneous Euler equation linearized around a non-slipping mean flow andboundary conditions corresponding to the mass-spring-damper impedance, smooth initial dataperturbations with compact support are considered. The propagation of this type of initial dataperturbations in a straight cylind...
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| Format: | Article |
| Language: | English |
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National Institute for Aerospace Research “Elie Carafoli” - INCAS
2013-03-01
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| Series: | INCAS Bulletin |
| Subjects: | |
| Online Access: | http://bulletin.incas.ro/files/balint_m_agneta__balint_stefan__full.pdf |
| _version_ | 1819264159434407936 |
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| author | Agneta M. BALINT Stefan BALINT |
| author_facet | Agneta M. BALINT Stefan BALINT |
| author_sort | Agneta M. BALINT |
| collection | DOAJ |
| description | For the homogeneous Euler equation linearized around a non-slipping mean flow andboundary conditions corresponding to the mass-spring-damper impedance, smooth initial dataperturbations with compact support are considered. The propagation of this type of initial dataperturbations in a straight cylindrical lined duct is investigated. Such kind of investigations is missingin the existing literature. The mathematical tools are the Fourier transform with respect to the axialspatial variable and the Laplace transform with respect to the time variable. The functionalframework and sufficient conditions are researched that the so problem be well-posed in the sense ofHadamard and the Briggs-Bers stability criteria can be applied. |
| first_indexed | 2024-12-23T20:25:03Z |
| format | Article |
| id | doaj.art-02ce6c314aa740a1ab48f515bde552e0 |
| institution | Directory Open Access Journal |
| issn | 2066-8201 2247-4528 |
| language | English |
| last_indexed | 2024-12-23T20:25:03Z |
| publishDate | 2013-03-01 |
| publisher | National Institute for Aerospace Research “Elie Carafoli” - INCAS |
| record_format | Article |
| series | INCAS Bulletin |
| spelling | doaj.art-02ce6c314aa740a1ab48f515bde552e02022-12-21T17:32:25ZengNational Institute for Aerospace Research “Elie Carafoli” - INCASINCAS Bulletin2066-82012247-45282013-03-0151293610.13111/2066-8201.2013.5.1.4Propagation of the initial value perturbation in a cylindrical lined duct carrying a gas flowAgneta M. BALINTStefan BALINTFor the homogeneous Euler equation linearized around a non-slipping mean flow andboundary conditions corresponding to the mass-spring-damper impedance, smooth initial dataperturbations with compact support are considered. The propagation of this type of initial dataperturbations in a straight cylindrical lined duct is investigated. Such kind of investigations is missingin the existing literature. The mathematical tools are the Fourier transform with respect to the axialspatial variable and the Laplace transform with respect to the time variable. The functionalframework and sufficient conditions are researched that the so problem be well-posed in the sense ofHadamard and the Briggs-Bers stability criteria can be applied.http://bulletin.incas.ro/files/balint_m_agneta__balint_stefan__full.pdfcompressible perfect gas flowsinitial data perturbationsEuler equationaxial spatial variableinviscid non-heat-conducting: |
| spellingShingle | Agneta M. BALINT Stefan BALINT Propagation of the initial value perturbation in a cylindrical lined duct carrying a gas flow INCAS Bulletin compressible perfect gas flows initial data perturbations Euler equation axial spatial variable inviscid non-heat-conducting: |
| title | Propagation of the initial value perturbation in a cylindrical lined duct carrying a gas flow |
| title_full | Propagation of the initial value perturbation in a cylindrical lined duct carrying a gas flow |
| title_fullStr | Propagation of the initial value perturbation in a cylindrical lined duct carrying a gas flow |
| title_full_unstemmed | Propagation of the initial value perturbation in a cylindrical lined duct carrying a gas flow |
| title_short | Propagation of the initial value perturbation in a cylindrical lined duct carrying a gas flow |
| title_sort | propagation of the initial value perturbation in a cylindrical lined duct carrying a gas flow |
| topic | compressible perfect gas flows initial data perturbations Euler equation axial spatial variable inviscid non-heat-conducting: |
| url | http://bulletin.incas.ro/files/balint_m_agneta__balint_stefan__full.pdf |
| work_keys_str_mv | AT agnetambalint propagationoftheinitialvalueperturbationinacylindricallinedductcarryingagasflow AT stefanbalint propagationoftheinitialvalueperturbationinacylindricallinedductcarryingagasflow |