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Spectral analysis and limit behaviours in a spring-mass system

We consider a model for a damped spring-mass system that is a strongly damped wave equation with dynamic boundary conditions. In a previous paper we showed that for some values of the parameters of the model, the large time behaviour of the solutions is the same as for a classical spring-mass damper ODE. Here we use spectral analysis to show that for other values of the parameters, still of physical relevance and related to the effect of the spring inner viscosity, the limit behaviours are very different from that classical ODE

© Communications on Pure and Applied Analysis, 2008, vol. 7, núm. 3, p. 563- 577

American Institute of Mathematical Sciences (AIMS)

Author: Pellicer Sabadí, Marta
Solà-Morales i Rubió, Joan de
Date: 2008
Abstract: We consider a model for a damped spring-mass system that is a strongly damped wave equation with dynamic boundary conditions. In a previous paper we showed that for some values of the parameters of the model, the large time behaviour of the solutions is the same as for a classical spring-mass damper ODE. Here we use spectral analysis to show that for other values of the parameters, still of physical relevance and related to the effect of the spring inner viscosity, the limit behaviours are very different from that classical ODE
Format: application/pdf
ISSN: 1534-0392 (versió paper)
1553-5258 (versió electrònica)
Document access: http://hdl.handle.net/10256/8981
Language: eng
Publisher: American Institute of Mathematical Sciences (AIMS)
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.3934/cpaa.2008.7.563
Articles publicats (D-IMA)
Is part of: © Communications on Pure and Applied Analysis, 2008, vol. 7, núm. 3, p. 563- 577
Rights: Tots els drets reservats
Subject: Anàlisi espectral
Spectrum analysis
Equacions d’ona
Wave equation
Title: Spectral analysis and limit behaviours in a spring-mass system
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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