On the time decay of solutions in porous-thermo-elasticity of type II

Exponential stability of serially connected thermoelastic system of type II with nodal damping

“…Based on these three theories, many engineers and mathematicians discussed the asymptotic behaviour of thermoelastic systems. For instance, Quintanilla et al in [15] studied a porous elastic system with thermal effect of type II. They obtained the exponential decay rate of the system.…”

On the decay of solutions for porous-elastic systems with history

“…In this theory the concept of "thermal displacement" plays a relevant role. It gives a new coupling between the macroscopic and the microscopic variables of the problem and it plays a role of "transmission belt" in a way that brings all the system to an exponential decay with only the dissipation mechanism given by the porous dissipation (Leseduarte et al [13]). One suspects that a similar behavior could be obtained in several other situation with this thermal theory, but there are not more studies in this line yet.…”

On a Theory of Thermoelastic Materials with a Double Porosity Structure

“…The linear theory of elastic materials with voids has been established by Cowin and Nunziato [15]. The theory of elastic materials with voids has been extensively studied (see, e.g., [16][17][18][19][20][21][22][23][24][25][26] and references therein). In this paper we use the NunziatoCowin theory of materials with voids to derive a theory of thermoelastic solids which have a double porosity structure.…”