Artículos de revistas
Long-time dynamics of an extensible plate equation with termal memory
Fecha
2014-08-01Registro en:
Journal of Mathematical Analysis and Applications, San Diego, v.416, n.1, p.143-165, 2014
10.1016/j.jmaa.2014.02.042
Autor
Barbosa, Alisson Rafael Aguiar
Ma, To Fu
Institución
Resumen
This work is concerned with long-time dynamics of solutions of extensible plate equations with thermal memory. The problem corresponds to a model of thermoelasticity based on a theory of non-Fourier heat flux. By considering the case where rotational inertia is present we show that the thermal dissipation is sufficient to stabilize the system and guarantees the existence of a finite-dimensional global attractor. In addition, the existence of exponential attractors is also considered.