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Title:
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Decay rates of Saint-Venant type for a functionally graded heat-conducting hollowed cylinder
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Author:
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Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
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Abstract:
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In this paper we consider the case of a functionally graded heat-conducting hollowed cylinder. Our purpose is to investigate the consequences of the material inhomogeneity on the decay of Saint-Venant end effects in the case of linear isotropic rigid solids. The mathematical issues involve the implications of spatial inhomogeneity on the decay rates of solutions to Dirichlet boundary-value problems. The rate of decay is characterized in terms of the smallest eigenvalue of a Sturm–Liouville problem. We first consider the case where the inhomogeneity depends on the radius of the cross-section, but later we also consider the case where the inhomogeneity also depends on the axial variable. The last section
considers the case where the cross-section is increasing. Some tables and figures illustrate our estimates. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-Differential equations, Hyperbolic
-Heat --Transmission -- Mathematical models
-Functionally graded materials
-heat conduction
-spatial decay estimates
-Saint-Venant’s principle
-inhomogeneity
-Calor -- Transmissió -- Models matemàtics
-Equacions diferencials hiperbòliques
-Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer
-Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type |
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Rights:
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Document type:
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Article - Submitted version
Article |
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