This book surveys significant modern contributions to the mathematical theories of
generalized heat wave equations. The first three chapters form a comprehensive survey of …

In this article, we use the Nunziato–Cowin theory of materials with voids to derive a theory of
thermoelastic solids, which have a double porosity structure. The new theory is not based on …

In this paper, we study the stabilization of a new coupling to thermoelastic Timoshenko
beam. In particular, we consider a thermoelastic coupling on shear force. We prove that this …

In this paper, we consider a one-dimensional linear porous system with finite memory
effective on the equilibrated stress vector. By assuming minimal conditions on the relaxation …

In this work we consider a one-dimensional porous-elastic system with memory effects. It is
well-known that porous-elastic system with a single dissipation mechanism lacks …

In this paper we study the asymptotic behavior to an one-dimensional porous-elasticity
problem with history. We show the lack of exponential stability when the porous dissipation …

The goal of this book is to investigate the three-dimensional problems of the mathematical
theories of elasticity and thermoelasticity for multi-porosity materials. The purposes of this …

In this paper we analyze the porous elastic system. We show that viscoelasticity is not strong
enough to make the solutions decay in an exponential way, independently of any …

In previous work, Apalara considered a one-dimensional porous elasticity system with
memory and established a general decay of energy for the system in the case of equal …

In this paper we study the asymptotic behavior and the analyticity of the solutions of the one-
dimensional porous-elasticity problem with thermal effect. Our main result is to prove the …