Analysis of a viscoelastic spring-mass model

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/850

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Pellicer Sabadí, Marta
dc.contributor.author	Solà-Morales Rubió, Joan de
dc.date	2003
dc.identifier.uri	http://hdl.handle.net/2117/850
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Partial differential equations
dc.subject	Materials
dc.subject	Dynamical systems
dc.subject	Structures and materials
dc.subject	strongly damped wave equation
dc.subject	dynamical boundary conditions
dc.subject	asymptotic behavior
dc.subject	dominant eigenvalues
dc.subject	Equacions en derivades parcials
dc.subject	Classificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type
dc.subject	Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions
dc.subject	Classificació AMS::74 Mechanics of deformable solids::74D Materials of strain-rate type and history type, other materials with memory
dc.subject	Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
dc.subject	Classificació AMS::74 Mechanics of deformable solids::74K Thin bodies, structures
dc.title	Analysis of a viscoelastic spring-mass model
dc.type	info:eu-repo/semantics/article
dc.description.abstract	In this paper we consider a linear wave equation with strong damping and dynamical boundary conditions as an alternative model for the classical spring-mass-damper ODE. Our purpose is to compare analytically these two approaches to the same physical system. We take a functional analysis point of view based on semigroup theory, spectral perturbation analysis and dominant eigenvalues.

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