Artículos de revistas
Semilinear parabolic problems in thin domains with a highly oscillatory boundary
Fecha
2011Registro en:
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.74, n.15, p.5111-5132, 2011
0362-546X
10.1016/j.na.2011.05.006
Autor
ARRIETA, Jose M.
CARVALHO, Alexandre N.
PEREIRA, Marcone C.
SILVA, Ricardo P.
Institución
Resumen
In 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.