Artículos de revistas
Mindlin–Timoshenko systems with Kelvin–Voigt: analyticity and optimal decay rates
Fecha
2014-09Registro en:
Journal of Mathematical Analysis and Applications, San Diego, v.417, n.1, p.164-179, 2014
10.1016/j.jmaa.2014.02.066
Autor
Silva, M. A. Jorge
Rivera, J. E. Muñoz
Ma, To Fu
Institución
Resumen
This paper is concerned with asymptotic stability of Mindlin–Timoshenko plates with dissipation of Kelvin–Voigt type on the equations for the rotation angles. We prove that the corresponding evolution semigroup is analytic if a viscoelastic damping is also effective over the equation for the transversal displacements. On the contrary, if the transversal displacement is undamped, we show that the semigroup is neither analytic nor exponentially stable. In addition, in the latter case, we show that the solution decays polynomially and we prove that the decay rate found is optimal.