Elastic Scattering by Unbounded Rough Surfaces
| العنوان: | Elastic Scattering by Unbounded Rough Surfaces |
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| المؤلفون: | Guanghui Hu, Johannes Elschner |
| المصدر: | SIAM Journal on Mathematical Analysis. 44:4101-4127 |
| بيانات النشر: | Society for Industrial & Applied Mathematics (SIAM), 2012. |
| سنة النشر: | 2012 |
| مصطلحات موضوعية: | variational formulation, Elastic scattering, Scattering, Elastic waves, Applied Mathematics, Mathematical analysis, rough surfaces, Perturbation (astronomy), radiation condition, 74B05, Lipschitz continuity, Navier equation, 74J20, Angular spectrum method, Computational Mathematics, 35Q74, Bounded function, 35J57, A priori and a posteriori, Uniqueness, Analysis, Mathematics |
| الوصف: | We consider the two-dimensional time-harmonic elastic wave scattering problem for an unbounded rough surface, due to an inhomogeneous source term whose support lies within a finite distance above the surface. The rough surface is supposed to be the graph of a bounded and uniformly Lipschitz continuous function, on which the elastic displacement vanishes. We propose an upward propagating radiation condition (angular spectrum representation) for solutions of the Navier equation in the upper half-space above the rough surface, and we establish an equivalent variational formulation. Existence and uniqueness of solutions at arbitrary frequency is proved by applying a priori estimates for the Navier equation and perturbation arguments for semi-Fredholm operators. |
| تدمد: | 1095-7154 0036-1410 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b43f62dd29edd1b647c8d4a4adc9bc74Test https://doi.org/10.1137/12086203xTest |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....b43f62dd29edd1b647c8d4a4adc9bc74 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 10957154 00361410 |
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