PROBLEM OF DISTURBANCE IDENTIFICATION BY MEASUREMENT IN THE VICINITY OF A POINT
A problem of wave identification is formulated. We propose a diagnostic analysis of medium disturbances based on distinguishing of components of a wave vector that is specific for each kind of the wave mode. Mathematically it is realized by projection operator technique. An example is considered in...
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| Format: | Article |
| Language: | English |
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Gdańsk University of Technology
2016-04-01
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| Series: | TASK Quarterly |
| Subjects: | |
| Online Access: | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1837 |
| _version_ | 1818208023289528320 |
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| author | SERGEY LEBLE IRINA VERESHCHAGINA |
| author_facet | SERGEY LEBLE IRINA VERESHCHAGINA |
| author_sort | SERGEY LEBLE |
| collection | DOAJ |
| description |
A problem of wave identification is formulated. We propose a diagnostic analysis of medium disturbances based on distinguishing of components of a wave vector that is specific for each kind of the wave mode. Mathematically it is realized by projection operator technique. An example is considered in conditions of a one-dimensional Cauchy problem for a conventional wave equation in the matrix form and its version with weakly x-dependent coefficients as a demonstration of the method application for the simplest adiabatic theory of one-dimensional acoustics. The case of acoustics in a gas with a dissipation account is also discussed from the point of view of the wave and entropy mode diagnostics.
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| first_indexed | 2024-12-12T04:38:13Z |
| format | Article |
| id | doaj.art-cde743d192ed47a498910a79c0176664 |
| institution | Directory Open Access Journal |
| issn | 1428-6394 |
| language | English |
| last_indexed | 2024-12-12T04:38:13Z |
| publishDate | 2016-04-01 |
| publisher | Gdańsk University of Technology |
| record_format | Article |
| series | TASK Quarterly |
| spelling | doaj.art-cde743d192ed47a498910a79c01766642022-12-22T00:37:53ZengGdańsk University of TechnologyTASK Quarterly1428-63942016-04-0120210.17466/TQ2016/20.2/NPROBLEM OF DISTURBANCE IDENTIFICATION BY MEASUREMENT IN THE VICINITY OF A POINTSERGEY LEBLE0IRINA VERESHCHAGINA1Gdansk University of Technology, Faculty of Applied Physics and MathematicsI. Kant Baltic Federal University, Institute of Physics and Technology, Department of Physics A problem of wave identification is formulated. We propose a diagnostic analysis of medium disturbances based on distinguishing of components of a wave vector that is specific for each kind of the wave mode. Mathematically it is realized by projection operator technique. An example is considered in conditions of a one-dimensional Cauchy problem for a conventional wave equation in the matrix form and its version with weakly x-dependent coefficients as a demonstration of the method application for the simplest adiabatic theory of one-dimensional acoustics. The case of acoustics in a gas with a dissipation account is also discussed from the point of view of the wave and entropy mode diagnostics. https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1837wave disturbancesacoustics |
| spellingShingle | SERGEY LEBLE IRINA VERESHCHAGINA PROBLEM OF DISTURBANCE IDENTIFICATION BY MEASUREMENT IN THE VICINITY OF A POINT TASK Quarterly wave disturbances acoustics |
| title | PROBLEM OF DISTURBANCE IDENTIFICATION BY MEASUREMENT IN THE VICINITY OF A POINT |
| title_full | PROBLEM OF DISTURBANCE IDENTIFICATION BY MEASUREMENT IN THE VICINITY OF A POINT |
| title_fullStr | PROBLEM OF DISTURBANCE IDENTIFICATION BY MEASUREMENT IN THE VICINITY OF A POINT |
| title_full_unstemmed | PROBLEM OF DISTURBANCE IDENTIFICATION BY MEASUREMENT IN THE VICINITY OF A POINT |
| title_short | PROBLEM OF DISTURBANCE IDENTIFICATION BY MEASUREMENT IN THE VICINITY OF A POINT |
| title_sort | problem of disturbance identification by measurement in the vicinity of a point |
| topic | wave disturbances acoustics |
| url | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1837 |
| work_keys_str_mv | AT sergeyleble problemofdisturbanceidentificationbymeasurementinthevicinityofapoint AT irinavereshchagina problemofdisturbanceidentificationbymeasurementinthevicinityofapoint |