Arrieta, Jose M.Carvalho, Alexandre N.Pereira, Marcone C.Silva, Ricardo P. [UNESP]2013-09-302014-05-202013-09-302014-05-202011-10-01Nonlinear Analysis-theory Methods & Applications. Oxford: Pergamon-Elsevier B.V. Ltd, v. 74, n. 15, p. 5111-5132, 2011.0362-546Xhttp://hdl.handle.net/11449/25134In this paper, we study the behavior of the solutions of nonlinear parabolic problems posed in a domain that degenerates into a line segment (thin domain) which has an oscillating boundary. We combine methods from linear homogenization theory for reticulated structures and from the theory on nonlinear dynamics of dissipative systems to obtain the limit problem for the elliptic and parabolic problems and analyze the convergence properties of the solutions and attractors of the evolutionary equations. (C) 2011 Elsevier Ltd. All rights reserved.5111-5132engThin domainsDissipative parabolic equationsGlobal attractorsUpper semicontinuityLower semicontinuityHomogenizationArtigo10.1016/j.na.2011.05.006WOS:000291471000020Acesso restrito