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Title:
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Spatial behaviour in thermoelastostatic cylinders of indefinitely increasing cross-section
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Author:
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Knops, Robin J.; 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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The final publication is available at Springer via http://dx.doi.org/10.1007/s10659-015-9523-8 |
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Abstract:
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Alternative growth and decay estimates, reminiscent of the classical Phragmén-Lindelöf principle, are derived for a linearised thermoelastic body whose plane crosssections increase unboundedly with respect to a given direction. The proof uses a modified Poincaré inequality to construct a differential inequality for a weighted linear combination
of the cross-sectional mechanical and thermal energy fluxes. Decay estimates are deduced also for the cross-sectional mean square measures of the displacement and temperature. An explicit upper bound in terms of base data is established for the amplitude occurring in the decay 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::Física::Termodinàmica
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
-Thermoelasticity--Mathematics
-Differential equations, Partial
-Thermoelastostatics
-Increasing cross-sections
-Phragmén-Lindelöf principle
-Termoelasticitat
-Equacions diferencials parcials
-Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type
-Classificació AMS::74 Mechanics of deformable solids |
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Rights:
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Document type:
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Article - Submitted version
Article |
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