General decay of porous elastic system with thermo-viscoelastic damping

Abstract

In this work, we consider a one-dimensional porous thermoelastic system, where the heat flux used is introduced by Green and Naghdi theories. We establish a general decay result depending on the memory kernel and a new introduced stability number.

General decay for memory-type porous elastic system with thermoelasticity of type III

“…describing the well known Timoshenko system. Ghennam and Djebabla [11] studied (8) with initial and fully Dirichlet boundary conditions, the authors established a general decay result depending on the relaxation functions and two introduced stability numbers…”

“…For more results on thermoelasticity of type III and porous elasticity, we refer the reader to [8,9,[15][16][17][18][19]27] and the references therein.…”