Palestras e Seminários
19/06/2019
14:00
sala 4-003
Palestrante: Jean Carlos Nakasato
Responsável: Estefani Moares Moreira (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Palestra em dinâmica não linear
Resumo: In this work we apply the unfolding operator method to analyze the asymptotic behavior of the solutions of the $p$-Laplacian equation with Neumann boundary condition set in a bounded thin domain of the type
$R^\varepsilon=\left\lbrace(x,y)\in\mathbb{R}^2:x\in(0,1)\mbox{ and }0<y<\varepsilon g\left({x}="" {\varepsilon^\alpha}\right)\right\rbrace$,="" where="" $g$="" is="" a="" positive="" periodic="" function.<br="">
We study the three cases $0<\alpha<1$, $\alpha=1$ and $\alpha>1$ representing respectively weak, resonant and high osillations at the top boundary. In the three cases we deduce the homogenized limit and obtain correctors. This is a joint work with J. M. Arrieta and M. C. Pereira.
