Open AccessExact solution of problems of diffraction of unsteady waves on a wedge under mixed boundary conditions by the Smirnov-Sobolev method
Author(s) -
М. Ш. Исраилов
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524854434-437
Subject(s) - wedge (geometry) , diffraction , sobolev space , mathematical analysis , boundary value problem , mathematics , neumann boundary condition , dirichlet boundary condition , boundary (topology) , dirichlet distribution , geometry , physics , optics
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.