Decay estimate of the viscoelastic plate with type II heat conduction in the whole space
This paper is concerning the problem determined by a viscoelastic plate when the heat is determined by the type II Green–Naghdi theory. Meanwhile the usual modeling is the combination of a conservative equation for the displacement and a dissipative equation for the temperature, we here change the r...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/401889 |
| Acceso en línea: | https://hdl.handle.net/2117/401889 https://dx.doi.org/10.1016/j.aml.2023.108829 |
| Access Level: | acceso abierto |
| Palabra clave: | Heat -- Conduction Viscoelasticity Type II Green–Naghdi theory Decay estimate Dissipative structure Calor -- Conducció Viscoelasticitat Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Sumario: | This paper is concerning the problem determined by a viscoelastic plate when the heat is determined by the type II Green–Naghdi theory. Meanwhile the usual modeling is the combination of a conservative equation for the displacement and a dissipative equation for the temperature, we here change the role of the components and we propose a conservative component for the heat conduction, but a dissipative component for the displacement. In this situation, we consider this problem in the whole space and derive the decay estimates of solutions. Furthermore, the optimality of the decay estimate is discussed |
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