Open AccessOn the asymptotics of the solution of a wave operator with holormophic coefficients and its application in mechanics
Author(s) -
М. В. Коровина,
Н.Н. Смирнов,
В.И. Смирнов,
D. N. Oshkin,
E. M. Khvatov
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/918/1/012120
Subject(s) - operator (biology) , wave mechanics , mathematics , calculus (dental) , mechanics , mathematical analysis , classical mechanics , physics , chemistry , medicine , biochemistry , repressor , transcription factor , gene , dentistry
We study the problem of wave propagation in the medium whose velocity characteristics change under an external impact. The aim of our study is constructing the asymptotics of the solution of a wave operator with a variable coefficient for the Laplacian at infinity. This study allows us to study the elements of transport infrastructure for the presence of forced oscillation modes leading to the destruction of the object.