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Some qualitative results for a modification of the Green–Lindsay thermoelasticity

Authors: Quintanilla de Latorre, Ramón;

Some qualitative results for a modification of the Green–Lindsay thermoelasticity

Abstract

In this short note we consider a recent modification of the Green–Lindsay thermoelastic theory proposed at Yu et al. (Meccanica 53:2543–2554, 2018). We consider a functional defined on the solutions of the problem. It allows us to obtain the continuous dependence of the solutions with respect to the initial conditions and to the supply terms, the time exponential decay of solutions and an alternative of Phragme´n–Lindelo¨f type for the spatial behaviour.

Peer Reviewed

Keywords

Differential equations, :74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects [Classificació AMS], Classificació AMS::34 Ordinary differential equations::34B Boundary value problems, Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects, :Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC], Differential equations, Partial, Equacions diferencials parcials, Spatial behaviour, :34 Ordinary differential equations::34B Boundary value problems [Classificació AMS], Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències, Continuous dependence, Exponential decay, Modified Green–Lindsay thermoelasticity, Uniqueness, Thermoelasticity, Termoelasticitat, Partial

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
views
OpenAIRE UsageCountsViews provided by UsageCounts
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21
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142
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