Eventos, Avisos & Notí­cias Conferência do Prof. Dr. Flank David Morais Bezerra (UFPB)

Conferência do Prof. Dr. Flank David Morais Bezerra (UFPB)

Título: Regularity and upper semicontinuity of pullback attractors for a class of non-autonomous thermoelastic plate systems

Data: 16/02/2017 às 14:00 h

Resumo: This work is devoted to the study of long-time dynamics, in the sense of pullback attractors, of solutions for semilinear non-autonomous thermoelastic plate systems in a bounded smooth domain in $latex \mathbb{R}^N$ ($latex N\geqslant 2$). We will prove existence, uniform boundedness, regularity and upper semicontinuity of pullback attractors for the evolution system
$latex \begin{cases} u_{tt} +\eta\Delta^2 u+a(t)\Delta\theta=f(u), & t>\tau,\ x\in\Omega,\\ \theta_t-\kappa(t)\Delta \theta-a(t)\Delta u_t=0, & t>\tau,\ x\in\Omega, \end{cases}$
$latex u=\Delta u=\theta=0,\ t>\tau,\ x\in\partial\Omega,$ with respect to the functional parameter $latex \kappa$