| 書目名稱 | Mathematical Problems in Wave Propagation Theory |
| 編輯 | V. M. Babich |
| 視頻video | http://file.papertrans.cn/627/626542/626542.mp4 |
| 叢書名稱 | Seminars in mathematics |
| 圖書封面 |  |
| 描述 | The papers comprising this collection are directly or indirectly related to an important branch of mathematical physics - the mathematical theory of wave propagation and diffraction. The paper by V. M. Babich is concerned with the application of the parabolic-equation method (of Academician V. A. Fok and M. A, Leontovich) to the problem of the asymptotic behavior of eigenfunc- tions concentrated in a neighborhood of a closed geodesie in a Riemannian space. The techniques used in this paper have been f?und useful in solving certain problems in the theory of open resonators. The topic of G. P. Astrakhantsev‘s paper is similar to that of the paper by V. M. Babich. Here also the parabolic-equation method is used to find the asymptotic solution of the elasticity equations which describes Love waves concentrated in a neighborhood of some surface ray. The paper of T. F. Pankratova is concerned with finding the asymptotic behavior of th~ eigenfunc- tions of the Laplace operator from the exact solution for the surface of a triaxial ellipsoid and the re- gion exterior to it. The first three papers of B. G. Nikolaev are somewhat apart from the central theme of the col- lection; they treat the |
| 出版日期 | Book 1970 |
| 關鍵詞 | elasticity; Helmholtz equation; mathematical physics; solution |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4757-0334-4 |
| isbn_softcover | 978-1-4757-0336-8 |
| isbn_ebook | 978-1-4757-0334-4 |
| copyright | Consultants Bureau, New York 1970 |
|Archiver|手機版|小黑屋|
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