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handle: 2117/122738
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.
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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
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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