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Spectral analysis and limit behaviours in a spring-mass system

Autor
Sola-morales, J.; Pellicer, M.
Tipus d'activitat
Article en revista
Revista
Communications on pure and applied analysis
Data de publicació
2008
Volum
7
Número
3
Pàgina inicial
563
Pàgina final
577
DOI
https://doi.org/10.3934/cpaa.2008.7.563 Obrir en finestra nova
URL
http://www.aimsciences.org/journals/displayArticles.jsp?paperID=3189 Obrir en finestra nova
Resum
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 ...
Grup de recerca
EDP - Equacions en Derivades Parcials i Aplicacions

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