The scattering matrix in a waveguide with elastic walls
type: Item
instance of: scholarly article
title: The scattering matrix in a waveguide with elastic walls
zbMATH Open document ID: 0614.73113
DOI: 10.1016/0021-8928(85)90091-7
author: Yu. A. Lavrov
author: V. D. Luk'yanov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The spectrum of normal waves is studied and the scattering matrix is determined for a planar waveguide with elastic walls and with an elastic semi-infinite plate situated within it. The mechanical mode of behaviour of elastic plates is described using the general-type differential operators. Problems of this type belong to the class of the boundary contact problems. The unique solvability of these problems requires the formulation of additional boundary contact conditions describing the mechanical behaviour of the edge of the semi-infinite plate situated within the waveguide. The regularization of the integrals appearing when the general-type boundary contact conditions are satisfied is indicated.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74J99
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 35D10
zbMATH DE Number: 3995241
zbMATH Keywords: spectrum of normal waves
zbMATH Keywords: scattering matrix
zbMATH Keywords: planar waveguide
zbMATH Keywords: elastic walls
zbMATH Keywords: elastic semi-infinite plate
zbMATH Keywords: general-type differential operators
zbMATH Keywords: boundary contact problems
zbMATH Keywords: unique solvability
zbMATH Keywords: regularization
MaRDI profile type: Publication
full work available at URL: 0021-8928(85)90091-7
OpenAlex ID: W2062078402
cites work: On the solution of some boundary-contact problems of linear hydrodynamics
cites work: Q5594505
cites work: On the acoustic field of a point source in a rectangular space bounded by thin elastic walls
cites work: Q5634307
cites work: Q3895765
description: scientific article; zbMATH DE number 3995241