Green's Functions of Wave Equations in
We study the d'Alembert equation with a boundary. We introduce the notions of Rayleigh surface wave operators, delayed/advanced mirror images, wave recombinations, and wave cancellations. This allows us to obtain the complete and simple formula of the Green's functions for the wave equatio...
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| Veröffentlicht in: | Archive for rational mechanics and analysis 2015-06, Vol.216 (3), p.881-903 |
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| container_end_page | 903 |
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| container_issue | 3 |
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| container_title | Archive for rational mechanics and analysis |
| container_volume | 216 |
| creator | Deng, Shijin Wang, Weike Yu, Shih-Hsien |
| description | We study the d'Alembert equation with a boundary. We introduce the notions of Rayleigh surface wave operators, delayed/advanced mirror images, wave recombinations, and wave cancellations. This allows us to obtain the complete and simple formula of the Green's functions for the wave equation with the presence of various boundary conditions. We are able to determine whether a Rayleigh surface wave is active or virtual, and study the lacunas of the wave equation in three dimensional with the presence of a boundary in the case of a virtual Rayleigh surface wave. |
| doi_str_mv | 10.1007/s00205-014-0821-2 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0003-9527 |
| ispartof | Archive for rational mechanics and analysis, 2015-06, Vol.216 (3), p.881-903 |
| issn | 0003-9527 1432-0673 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1685801824 |
| source | SpringerLink Journals |
| subjects | Boundaries Cancellation Green's functions Mathematical analysis Operators Surface waves Three dimensional Wave equations |
| title | Green's Functions of Wave Equations in |
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