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.

Publication Title

Milan Journal of Mathematics