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
Local: Auditório da Unidade Acadêmica de Matemática
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}
$
subject to boundary conditions
$latex
u=\Delta u=\theta=0,\ t>\tau,\ x\in\partial\Omega,
$ with respect to the functional parameter $latex \kappa$