We study the energy decay of the solutions of a linear homogeneous anisotropic porous thermoelastic system in the context of Green and Naghdi model of type II with a boundary condition with memory for the displacement. By introducing a boundary free energy , we prove that, if the memory kernel exponentially decays in time, then also the energy exponentially decays when the porosity viscosity is present.
Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation / Moncef Aouadi; Barbara Lazzari; Roberta Nibbi. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. - ISSN 0044-2275. - STAMPA. - 63:5(2012), pp. 961-973. [10.1007/s00033-012-0201-4]
Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation
LAZZARI, BARBARA;NIBBI, ROBERTA
2012
Abstract
We study the energy decay of the solutions of a linear homogeneous anisotropic porous thermoelastic system in the context of Green and Naghdi model of type II with a boundary condition with memory for the displacement. By introducing a boundary free energy , we prove that, if the memory kernel exponentially decays in time, then also the energy exponentially decays when the porosity viscosity is present.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
