Wave localization in hydroelastic systems
type: Item
instance of: scholarly article
title: Wave localization in hydroelastic systems
zbMATH Open document ID: 0968.74036
DOI: 10.1023/A:1026484701275
author: Yanyan Li
published in: Flow, Turbulence and Combustion
publication date: 2001-09-18T00:00:00Z
review text: Hydroelastic system considered here are composed of a fluid including an elastic oscillating body. In previous papers it was pointed out that in some situations there occurs a wave localization (strength concentration) in a vicinity of the oscillating body. This phenomenon can constitute nonpropagating (trapped) waves. A study of this fact led to the conclusion that for the corresponding operator a mixed spectrum may exist; more precisely, a discrete spectrum appears for the operator describing the system behaviour. Here the authors perform an analysis in the cases when the wave localization can occur (oscillating die), and cannot (oscillating membrane). It is shown that a soliton can propagate for a nonlinearly elastic body. The calculation and proofs are clearly carried out, and physical interpretations of the results are provided.
Mathematics Subject Classification ID: 74J10
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 76Q05
zbMATH DE Number: 1389375
zbMATH Keywords: elastic oscillating body in fluid
zbMATH Keywords: strength concentration
zbMATH Keywords: nonpropagating waves
zbMATH Keywords: oscillating die
zbMATH Keywords: oscillating membrane
zbMATH Keywords: mixed spectrum
zbMATH Keywords: discrete spectrum
zbMATH Keywords: wave localization
zbMATH Keywords: soliton
zbMATH Keywords: nonlinearly elastic body
reviewed by: Dumitru Stanomir
MaRDI profile type: Publication
full work available at URL: a:1026484701275
OpenAlex ID: W145657306
description: scientific article; zbMATH DE number 1389375