2026-04-17T08:11:53Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/1678552026-02-02T04:43:35Zcom_2072_1033col_2072_452950

On the exponential decay of solutions in dual-phase-lag porous thermoelasticity Fernández, José Ramón Magaña Nieto, Antonio Quintanilla de Latorre, Ramón Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències Thermoelasticity Differential equations, Partial One-dimensional porous thermoelasticity Time decay Dual-phase-lag Semi-group arguments Spectral arguments Termoelasticitat Equacions diferencials parcials Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application In the last years, a big interest has been developed to understand the time decay of solutions for the porous thermoelasticity with different thermal mechanisms. We here want to consider the problem of the one-dimensional porous thermoelasticity when the heat conduction is given by means of the dual-phase-lag theory. We want to give suitable conditions in order to guarantee that the decay of solutions is controlled by a negative exponential. We also want to provide conditions for the slow decay of the solutions. Peer Reviewed Postprint (published version) 2019-06-03 Part of book or chapter of book https://link.springer.com/book/10.1007%2F978-3-030-15297-0 Restricted access - publisher's policy Springer