Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits

Authors

Igor Chueshov, Kharkov University
Irena Lasiecka, University of Virginia

Abstract

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

Recommended Citation

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