Two singular problems of dual-phase-lag thermo-porous-elasticity with microtemperatures

Z. Liu; R. Quintanilla; M. Summers

doi:10.1016/j.cam.2022.115029

Two singular problems of dual-phase-lag thermo-porous-elasticity with microtemperatures

Z. Liu, R. Quintanilla, M. Summers

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Abstract

In a recent paper the authors studied a generic problem determined by the one-dimensional porous-thermoelasticity with microtemperatures in the context of the dual-phase-lag theory. Energy decay rates for that system were obtained. However, there were several cases when the coupling between the different components defining the system of equations is weaker that were not treated. In this paper we are interested in these singular cases and we will prove the polynomial decay of the solutions depending on the relations of the relaxation parameters.

Original language	English (US)
Article number	115029
Journal	Journal of Computational and Applied Mathematics
Volume	425
DOIs	https://doi.org/10.1016/j.cam.2022.115029
State	Published - Jun 2023

Bibliographical note

Funding Information:
The investigations of R.Q. reported in this paper were supported by project “ Análisis Matemático Aplicado a la Termomecánica, USA ” PID2019-105118GB-I00 , funded by the Spanish Ministry of Science, Innovation and Universities and FEDER, Spain “A way to make Europe”.

Publisher Copyright:
© 2022 Elsevier B.V.

Keywords

Dual phase-lag heat conduction with microtemperatures
Microtemperatures
Polynomial stability
Semigroups
Thermo-porous-elasticity

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10.1016/j.cam.2022.115029

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title = "Two singular problems of dual-phase-lag thermo-porous-elasticity with microtemperatures",

abstract = "In a recent paper the authors studied a generic problem determined by the one-dimensional porous-thermoelasticity with microtemperatures in the context of the dual-phase-lag theory. Energy decay rates for that system were obtained. However, there were several cases when the coupling between the different components defining the system of equations is weaker that were not treated. In this paper we are interested in these singular cases and we will prove the polynomial decay of the solutions depending on the relations of the relaxation parameters.",

keywords = "Dual phase-lag heat conduction with microtemperatures, Microtemperatures, Polynomial stability, Semigroups, Thermo-porous-elasticity",

author = "Z. Liu and R. Quintanilla and M. Summers",

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AU - Quintanilla, R.

AU - Summers, M.

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N2 - In a recent paper the authors studied a generic problem determined by the one-dimensional porous-thermoelasticity with microtemperatures in the context of the dual-phase-lag theory. Energy decay rates for that system were obtained. However, there were several cases when the coupling between the different components defining the system of equations is weaker that were not treated. In this paper we are interested in these singular cases and we will prove the polynomial decay of the solutions depending on the relations of the relaxation parameters.

AB - In a recent paper the authors studied a generic problem determined by the one-dimensional porous-thermoelasticity with microtemperatures in the context of the dual-phase-lag theory. Energy decay rates for that system were obtained. However, there were several cases when the coupling between the different components defining the system of equations is weaker that were not treated. In this paper we are interested in these singular cases and we will prove the polynomial decay of the solutions depending on the relations of the relaxation parameters.

KW - Dual phase-lag heat conduction with microtemperatures

KW - Microtemperatures

KW - Polynomial stability

KW - Semigroups

KW - Thermo-porous-elasticity

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Two singular problems of dual-phase-lag thermo-porous-elasticity with microtemperatures

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