Universitat Politècnica de Catalunya
Universitat Politècnica de Catalunya. Departament de Matemàtiques
Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs
Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
2019-06-03
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)
Part of book or chapter of book
English
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
Springer
https://link.springer.com/book/10.1007%2F978-3-030-15297-0
Restricted access - publisher's policy
E-prints [72986]
