Energy decay rates for the Timoshenko system of thermoelastic plates

Decay for Solutions to Semilinear Regularity-Loss Type Equations with Memory

“…A similar decay structure of the regularity-loss type was also observed for the dissipative Timoshenko system ( [8]) and a hyperbolic-elliptic system related to a radiating gas ( [9]). For more studies on various aspects of dissipation of plate equations, we refer to [10,11,12,13]. Also, as for the study of decay properties for hyperbolic systems of memory-type dissipation, we refer to [14,15,16].…”

Uniform stabilization of a quasilinear plate model in hyperbolic thermoelasticity

“…Timoshenko's model for deformations of a plate is given by and has been considered by a number of authors. They studied existence, uniqueness, and regularity of solutions as well as the stabilization problem under various damping mechanisms in the equation or at the boundary (see, for instance, , , , , , or and the references therein). More recently, it was prove in that in case M ( s ) = a s , s ≥0(‘ a ’ is a positive constant), model can be obtained as a singular limit of the von Kármán system, which is a nonlinear dynamic model describing large deflections of thin plates.…”

Asymptotic Behavior for Petrovsky Equation with Localized Damping

“…There is much literature concerned with the energy decay rate estimate for other related problems, for more recent results, we refer the reader to [4,6,9,12,15,21,25,28] and the references therein.…”