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

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 \mathbb{R}^N (N\geqslant 2). We will prove existence, uniform boundedness, regularity and upper semicontinuity of pullback attractors for the evolution system
\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
u=\Delta u=\theta=0,\ t>\tau,\ x\in\partial\Omega,  with respect to the functional parameter \kappa

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