RT Journal Article
T1 Thin domains with non-smooth periodic oscillatory boundaries
A1 Arrieta Algarra, José María
A1 Villanueva Pesqueira, Manuel
AB In this work we study in detail how to adapt the unfolding operator method to thin domains with periodic oscillatory boundaries. We present the unfolding method as a general approach which allows us to analyze the behavior of the solutions of a Neumann problem for equation −Δu+u=f posed in two-dimensional thin domains with an oscillatory boundary. Assuming very mild hypothesis on the regularity of the oscillatory boundary we obtain the homogenized limit problem and corrector results for the three different cases depending on the order of the period of the oscillations.
PB Elsevier
SN 0022-247X
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/17872
UL https://hdl.handle.net/20.500.14352/17872
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 17 abr 2025