Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits (Q879760)

The authors study the system of evolutionary PDEs describing the Mindlin-Timoshenko model for plates. They prove existence and uniqueness of the mild solution to this problem and passing with one parameter to infinity (so-called Kirchhoff limit) and verify that the limit solves a regularized version of the Boussinesq equation. Next, they consider the behaviour of solutions for large times. They prove that the original system possesses a compact attractor of finite fractal dimension; carrying out the Kirchhoff limit, they show that the attractor converges in a certain sense to the global attractor of the limit equation.