NDLI: Acoustic eigenoscillations near thin-walled obstacles in an annular cylindrical channel

Content Provider	Springer Nature Link
Author	Khasav, N. A. Sukhinin, S. V.
Copyright Year	2013
Abstract	Under analytical and numerical studies are the acoustic eigenoscillations near thinwalled obstacles in homogeneous circular cylindrical channels. The acoustic eigenoscillations are described by the Neumann problem for the Laplace operator. Using the representation theory of the symmetry groups in the solution space, it is shown that, for a large class of thin-walled obstacles in the circular channels, there always exists a pure point spectrum immersed into the continuous spectrum of the self-adjoint extension of the Laplace operator corresponding to the homogeneous Neumann problem. The dependencies are obtained of the eigenfrequencies on the geometric parameters of the thin-walled obstacles in a homogeneous cylindrical circular channel. The form of the eigenfunctions is investigated. The influence is discussed of the geometric characteristic of the domain on the frequencies, number, and form of eigenoscillations.
Starting Page	199
Ending Page	208
Page Count	10
File Format	PDF
ISSN	19904789
Journal	Journal of Applied and Industrial Mathematics
Volume Number	7
Issue Number	2
e-ISSN	19904797
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2013-06-06
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	eigenoscillations resonance spectral properties Laplace operator thin-walled obstacles Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Industrial and Manufacturing Engineering

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