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Title Long-time dynamics of a thermoelastic plate with second sound

Name To Fu Ma
Country Brazil
Email matofu@icmc.usp.br
Co-Author(s) Rodrigo Nunes Monteiro
Submit Time 2014-03-15 17:06:49
Special Session 37: Global or/and blowup solutions for nonlinear evolution equations and their applications
We consider a nonlinear thermoelastic plate where the heat flux is given by the Cattaneo's law. In the presence of a rotational inertia term, we prove the existence of a finite-dimensional global attractor under the sole dissipation given by the heat flux. On the other hand, without rotational inertia, the existence of a global attractor is done by adding a frictional damping in the displacement equation.