Acoustic scattering from open cavities in the time domain
This article concerns acoustic scattering from two-dimensional open cavities in the time domain. A transparent boundary condition is provided to reformulate the problem as an equivalent initial boundary value problem in the interior region of the open cavity. The well-posedness, that is, the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2019-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/131/abstr.html |
| _version_ | 1818142306426945536 |
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| author | Bo Chen Fuming Ma Yukun Guo |
| author_facet | Bo Chen Fuming Ma Yukun Guo |
| author_sort | Bo Chen |
| collection | DOAJ |
| description | This article concerns acoustic scattering from two-dimensional
open cavities in the time domain.
A transparent boundary condition is provided to reformulate
the problem as an equivalent initial boundary value problem in the interior
region of the open cavity. The well-posedness, that is, the existence, uniqueness
and stability of the solution to the reduced problem, is proved via a
"Laplace domain" to time domain analysis. Moreover, time domain
boundary integral equations for the reduced problem are established. |
| first_indexed | 2024-12-11T11:13:41Z |
| format | Article |
| id | doaj.art-742851a925b242b3bf2f222df9b4e50b |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T11:13:41Z |
| publishDate | 2019-12-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-742851a925b242b3bf2f222df9b4e50b2022-12-22T01:09:25ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912019-12-012019131,114Acoustic scattering from open cavities in the time domainBo Chen0Fuming Ma1Yukun Guo2 Civil Aviation Univ. of China, Tianjin, China Jilin Univ., Changchun, China Harbin Institute of Technology, Harbin, China This article concerns acoustic scattering from two-dimensional open cavities in the time domain. A transparent boundary condition is provided to reformulate the problem as an equivalent initial boundary value problem in the interior region of the open cavity. The well-posedness, that is, the existence, uniqueness and stability of the solution to the reduced problem, is proved via a "Laplace domain" to time domain analysis. Moreover, time domain boundary integral equations for the reduced problem are established.http://ejde.math.txstate.edu/Volumes/2019/131/abstr.htmltime domain acoustic scatteringopen cavitytransparent boundary conditionwell-posednessboundary integral equation |
| spellingShingle | Bo Chen Fuming Ma Yukun Guo Acoustic scattering from open cavities in the time domain Electronic Journal of Differential Equations time domain acoustic scattering open cavity transparent boundary condition well-posedness boundary integral equation |
| title | Acoustic scattering from open cavities in the time domain |
| title_full | Acoustic scattering from open cavities in the time domain |
| title_fullStr | Acoustic scattering from open cavities in the time domain |
| title_full_unstemmed | Acoustic scattering from open cavities in the time domain |
| title_short | Acoustic scattering from open cavities in the time domain |
| title_sort | acoustic scattering from open cavities in the time domain |
| topic | time domain acoustic scattering open cavity transparent boundary condition well-posedness boundary integral equation |
| url | http://ejde.math.txstate.edu/Volumes/2019/131/abstr.html |
| work_keys_str_mv | AT bochen acousticscatteringfromopencavitiesinthetimedomain AT fumingma acousticscatteringfromopencavitiesinthetimedomain AT yukunguo acousticscatteringfromopencavitiesinthetimedomain |