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Title:
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Time decay in dual-phase-lag thermoelasticity: critical case
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Author:
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Liu, Zhuangyi; 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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This note is devoted to the study of the time decay of the onedimensional dual-phase-lag thermoelasticity. In this theory two delay parameters tq and t¿ are proposed. It is known that the system is exponentially stable if tq < 2t¿ [22]. We here make two new contributions to this problem. First, we prove the polynomial stability in the case that tq = 2t¿ as well the optimality of this decay rate. Second, we prove that the exponential stability remains true even if the inequality only holds in a proper sub-interval of the spatial domain, when t¿ is spatially dependent. |
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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
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
-Thermoelasticity
-Differential equations, Partial
-Phase-lag
-thermoelasticity
-Polynomial stability
-Exponential stability.
-Termoelasticitat
-Equacions diferencials parcials
-Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions
-Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
-Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects |
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Rights:
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Document type:
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Article - Submitted version
Article |
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