Energy decay in thermoelastic bodies with radial symmetry

Bazarra Garcia, Noelia; Fernández García, José Ramón; Quintanilla, Ramón

doi:10.1007/s10440-022-00490-1

Bazarra Garcia, Noelia

; Fernández García, José Ramón

; Quintanilla, Ramón

DATE: 2022-05-10

UNIVERSAL IDENTIFIER: http://hdl.handle.net/11093/4122

EDITED VERSION: https://link.springer.com/10.1007/s10440-022-00490-1

UNESCO SUBJECT: 12 Matemáticas ; 1206 Análisis Numérico ; 1299 Otras Especialidades Matemáticas

DOCUMENT TYPE: article

ABSTRACT

In this paper, we consider the energy decay of some problems involving domains with radial symmetry. Three different settings are studied: a strong porous dissipation and heat conduction, a weak porous dissipation and heat conduction and poro-thermoelasticity with microtemperatures. In all the three problems, the exponential energy decay is shown. Moreover, for each of them some finite element simulations are presented to numerically demonstrate this behavior.

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