Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping.
Exponential decay of a solution for some parabolic equation involving a time nonlocal term
We consider the large time behavior of a solution of a parabolic type equation involving a nonlocal term depending on the unknown function. This equation is proposed as a mathematical model of carbon dioxide transport in concrete carbonation process, and we proved the existence, uniqueness and large time behavior of a solution of this model. In this paper, we derive the exponential decay estimate of the solution of this model under restricted boundary data and initial data.
Exponential decay of energy for some nonlinear hyperbolic equations with strong dissipation.
Exponential decay of solutions to a fourth-order viscoelastic evolution equation in .
Exponential decay to partially thermoelastic materials
We study the thermoelastic system for material which are partially thermoelastic. That is, a material divided into two parts, one of them a good conductor of heat, so there exists a thermoelastic phenomenon. The other is a bad conductor of heat so there is not heat flux. We prove for such models that the solution decays exponentially as time goes to infinity. We also consider a nonlinear case.
Exponential stability for the wave equation with weak nonmonotone damping.
Exponential stability for Timoshenko model with thermal effect
We performe an exponential decay analysis for a Timoshenko-type system under the thermal effect by constructing the Lyapunov functional. More precisely, this thermal effect is acting as a mechanism for dissipating energy generated by the bending of the beam, acting only on the vertical displacement equation, different from other works already existing in the literature. Furthermore, we show the good placement of the problem using semigroup theory.
Exponential stability of a flexible structure with history and thermal effect
In this paper we study the asymptotic behavior of a system composed of an integro-partial differential equation that models the longitudinal oscillation of a beam with a memory effect to which a thermal effect has been given by the Green-Naghdi model type III, being physically more accurate than the Fourier and Cattaneo models. To achieve this goal, we will use arguments from spectral theory, considering a suitable hypothesis of smoothness on the integro-partial differential equation.
Exponential stability of linear and almost periodic systems on Banach spaces.
Exponential stability of positive solutions to some nonlinear heat equations.
Extended dynamical systems.
Extended limiting absorption method and analicity of the S-matrix.
Extinction and decay estimates of solutions for a class of porous medium equations.
Extremal equilibria for parabolic non-linear reaction-diffusion equations