In this work, we consider the existence of global solution and exponential decay a nonlinear porous elastic system with time delay. The term as well delay acting in equation volume fraction. order to obtain uniqueness solution, will use semigroup theory linear operators under certain relation involving coefficients together Lyapunov functional, establish energy associated system.

Stability and elastic response of the most promising ground state candidate Si nanowires with less than 10 nm in diameter are comparatively studied with objective molecular dynamics coupled with non-orthogonal tight-binding and classical potential models. The computationally-expensive tight-binding treatment becomes tractable due to the substantial simplifications introduced by the presented sy...

The paper is devoted to stability and stabilization of the evolution equations arising from mathematical modeling of hybrid mechanical systems with flexible parts. A sufficient condition is obtained for partial strong asymptotic stability of nonlinear, infinite-dimensional dynamic systems in Banach spaces. This result is applied to deriving a control law that stabilizes a part of the variables ...

We study the stability of solutions to a coupled evolution system associated with an isotropic porous and centrosymmetric viscoelastic solid with porous dissipation (a porous elastic system with history). With the help of the method of the semigroup theory and some novel observations, we prove successfully that the condition of equal wave-speed propagation is still necessary for exponential sta...