Acoustic scattering from open cavities in the time domain
| dc.contributor.author | Chen, Bo | |
| dc.contributor.author | Ma, Fuming | |
| dc.contributor.author | Guo, Yukun | |
| dc.date.accessioned | 2021-12-10T21:15:49Z | |
| dc.date.available | 2021-12-10T21:15:49Z | |
| dc.date.issued | 2019-12-16 | |
| dc.description.abstract | 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chen, B., Ma, F., & Guo, Y. (2019). Acoustic scattering from open cavities in the time domain. <i>Electronic Journal of Differential Equations, 2019</i>(131), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15044 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Time domain acoustic scattering | |
| dc.subject | Open cavity | |
| dc.subject | Transparent boundary condition | |
| dc.subject | Well-posedness | |
| dc.subject | Well-posedness | |
| dc.subject | Boundary integral equation | |
| dc.title | Acoustic scattering from open cavities in the time domain | en_US |
| dc.type | Article |