Polynomial stability for the equations of porous elasticity in one-dimensional bounded domains.

In this paper, we consider a porous–elastic system where the dissipation mechanisms act on the elastic and on the porous structures. Here, we consider the one-dimensional porous–elastic system defined on bounded domains in space and we proved the polynomial stability when a particular relationship between the damping parameters is equal to zero. We also prove the optimality of the rate of polynomial decay. [ABSTRACT FROM AUTHOR]