RT Journal Article
T1 Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary
A1 Arrieta Algarra, José María
A1 Villanueva Pesquera, M.
AB We analyze the behavior of solutions of the Poisson equation with homogeneous Neumann boundary conditions in a two-dimensional thin domain which presents locally periodic oscillations at the boundary. The oscillations are such that both the amplitude and period of the oscillations may vary in space. We obtain the homogenized limit problem and a corrector result by extending the unfolding operator method to the case of locally periodic media.
PB Society for Industrial and Applied Mathematics Publications
SN 0036-1410
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24636
UL https://hdl.handle.net/20.500.14352/24636
LA eng
NO Arrieta JM, Villanueva-Pesqueira M. Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary. SIAM J Math Anal 2016; 48: 1634–1671. [DOI: 10.1137/15M101600X]
NO Ministerio de Economía y Competitividad (España)
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 26 feb 2026