Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits
We consider dynamics of a class of Mindlin-Timoshenko plate models with nonlinear feedback forces.We prove the existence of a compact global attractor and study its limiting properties when the shear modulus tends to infinity. This limit corresponds to absence of transverse shear which is one of the Kirchhoff hypotheses in the plate theory. © Birkhäuser Verlag, Basel 2006.
Milan Journal of Mathematics
Chueshov, I., & Lasiecka, I. (2006). Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits. Milan Journal of Mathematics, 74 (1), 117-138. https://doi.org/10.1007/s00032-006-0050-8