刊名:Journal of Mathematical Analysis and Applications
出版年:2017
出版时间:1 January 2017
年:2017
卷:445
期:1
页码:498-512
全文大小:362 K
文摘
In this article we are considering the one-dimensional equations of a homogeneous and isotropic porous elastic solid with Kelvin–Voigt damping. We prove that the semigroup associated with the system (1.3) with Dirichlet–Dirichlet boundary conditions or Dirichlet–Neumann boundary conditions is analytic and consequently exponentially stable. On the other hand, we prove that the system (1.3) with Dirichlet–Neumann boundary conditions has lack of exponential decay and it decays as for the case or . Moreover, we prove that this rate is optimal. We apply the main results for the Timoshenko model.