General decay of solutions of a linear one-dimensional porous-thermoelasticity system with a boundary control of memory type

On the time decay of solutions for non-simple elasticity with voids

“…Pamplona et al [15] proved that when the dissipation mechanisms are of rate type the solutions are analytic. Soufyane [19], Soufyane et al [20,21] and Pamplona et al [16] showed several situations with more than one dissipative mechanism where the exponential decay holds. Let us also mention that Muñoz-Rivera and Quintanilla [13] obtained polynomial rates of decay form for some problems when the decay is not of exponential type.…”

Decay of solutions for a one-dimensional porous elasticity system with memory: the case of non-equal wave speeds

“…Under the assumption g (t) ≤ −κg p (t), the author extended the results in [14] to the case of nonequal speeds, see [17]. For more results concerning porous thermoelasticity, one can refer to [18,19], and so on.…”

Stabilization for the transmission problem of the Timoshenko system in thermoelasticity with two concentrated masses

“…6 Also, we refer the readers for some other results on the transmission problems 7-10 and on the thermoelasticity. [11][12][13][14][15] On an other side, some notations and definitions are needed to state the method used to show our nonexponenetial stability result . Let X be a Banach space.…”