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dc.contributor.authorPellicer Sabadí, Marta
dc.contributor.authorSolà-Morales Rubió, Joan de
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.description.abstractIn 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.
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject.lcshPartial differential equations
dc.subject.lcshDynamical systems
dc.subject.lcshStructures and materials
dc.subject.otherstrongly damped wave equation
dc.subject.otherdynamical boundary conditions
dc.subject.otherasymptotic behavior
dc.subject.otherdominant eigenvalues
dc.titleAnalysis of a viscoelastic spring-mass model
dc.subject.lemacEquacions en derivades parcials
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type
dc.subject.amsClassificació AMS::35 Partial differential equations::35B Qualitative properties of solutions
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74D Materials of strain-rate type and history type, other materials with memory
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74H Dynamical problems
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74K Thin bodies, structures
dc.rights.accessOpen Access

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Attribution-NonCommercial-NoDerivs 2.5 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 2.5 Spain