Dual-phase-lag one-dimensional thermo-porous-elasticity with microtemperatures

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hdl:2117/351027
Document typeArticle
Defense date2021-09
Rights accessOpen Access
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Abstract
This paper is devoted to studying the linear system of partial differential equations modelling a one-dimensional thermo-porous-elastic problem with microtemperatures in the context of the dual-phase-lag heat conduction. Existence, uniqueness, and exponential decay of solutions are proved. Polynomial stability is also obtained in the case that the relaxation parameters satisfy a certain equality. Our arguments are based on the theory of semigroups of linear operators.
CitationLiu, Z.; Quintanilla, R. Dual-phase-lag one-dimensional thermo-porous-elasticity with microtemperatures. "Computational & Applied Mathematics", Setembre 2021, vol. 40, núm. 6, art. 231.
ISSN2238-3603
Publisher versionhttps://link.springer.com/article/10.1007%2Fs40314-021-01603-6
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