Email this article 
Exact solution of problems of diffraction of unsteady waves on a wedge under mixed boundary conditions by the Smirnov-Sobolev method
- Authors: Israilov M.S.1
-
Affiliations:
- Kh. Ibragimov Complex Institute of the Russian Academy of Sciences
- Issue: Vol 485, No 4 (2019)
- Pages: 434-437
- Section: Mechanics
- URL: https://journals.eco-vector.com/0869-5652/article/view/13545
- DOI: https://doi.org/10.31857/S0869-56524854434-437
- ID: 13545
Cite item
Full Text
Abstract
Antil now, the Smirnov-Sobolev method has been applied only to diffraction problems with the Dirichlet and Neumann boundary conditions. In this study, it is shown that the method also leads to an exact solution of the mixed problem of diffraction on a wedge, which is very important, for example, for estimating the possibility of protection from blast waves by wedge-shaped barriers with different reflecting properties of the sides.
About the authors
M. Sh. Israilov
Kh. Ibragimov Complex Institute of the Russian Academy of Sciences
Author for correspondence.
Email: israiler@hotmail.com
Russian Federation, 364051, Russia, Grozny, Chechen Republic, Staropromyslovsky avenue, 21A
References
- Friedlander F. Sound Pulses. Cambridge: Cambridge Press, 1958. 202 p.
- Соболев С. Л. // Тр. Сейсмол. ин-та АН СССР. 1934. № 41. С. 1-20.
- Соболев С. Л. // Гл. XII книги: Франк Ф., Мизес Р. Дифференциальные и интегральные уравнения математической физики. М.; Л.: ОНТИ, 1937. Ч. 2. 998 с.
- Keller J. B., Blank A. // Communs Pure and Appl. Math. 1951. V. 4. № 1. P. 75-94.
- Филиппов А. Ф. // ПММ. 1964. Т. 28. № 2. С. 305-318.
- Костров Б. В. // ПММ. 1966. Т. 30. № 1. С. 198-203.
- Капустянский С. М. // ПММ. 1976. Т. 40. № 1. С. 190-192.
- Исраилов М. Ш. // ДАН. 1979. Т. 247. № 4. С. 815-818.
- Смирнов В. И. Курс высшей математики. Т. III. Ч. 2. М.: Гос. изд-во физ.-мат. лит-ры, 1958. 674 с.
Supplementary files
