Existence and General Decay of Solutions for a Weakly Coupled System of Viscoelastic Kirchhoff Plate and Wave Equations
In this paper, a weakly coupled system (by the displacement of symmetric type) consisting of a viscoelastic Kirchhoff plate equation involving free boundary conditions and the viscoelastic wave equation with Dirichlet boundary conditions in a bounded domain is considered. Under the assumptions on a more general type of relaxation functions, an explicit and general decay rate result is established by using the multiplier method and some properties of the convex functions.
This paper is concerned with the long-time dynamics of the model
of a laminated Timoshenko beam, which is a structure given by two-layered
beams with structural damping as a result of an…
In this work, we consider a thermoelastic laminated beam system with
microtemperature effects in case of zero thermal conductivity. We prove that the
dissipation due to the microtemperatures…
This paper addresses the global existence and asymptotic behavior of solutions to a logarithmic wave equation posed in a bounded domain and incorporating strong damping, a fractional time…