CORRECTORS FOR THE NEUMANN PROBLEM IN THIN DOMAINS WITH LOCALLY PERIODIC OSCILLATORY STRUCTURE

Autor(es)

Pereira, Marcone C. ^[1] ; Silva, Ricardo P. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Escola Artes Ciencias & Humanidades, Sao Paulo, SP - Brazil

^[2] Univ Estadual Paulista, Inst Geociencias & Ciencias Exatas, Rio Claro, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: QUARTERLY OF APPLIED MATHEMATICS; v. 73, n. 3, p. 537-552, 2015.
• Citações Web of Science: 8

Resumo

In this paper we are concerned with convergence of solutions of the Poisson equation with Neumann boundary conditions in a two-dimensional thin domain exhibiting highly oscillatory behavior in part of its boundary. We deal with the resonant case in which the height, amplitude and period of the oscillations are all of the same order, which is given by a small parameter epsilon > 0. Applying an appropriate corrector approach we get strong convergence when we replace the original solutions by a kind of first-order expansion through the Multiple-Scale Method. (AU)

• Processo FAPESP: 12/06753-8 - Continuidade de atratores globais: corretores e taxas de convergência
• Beneficiário: Ricardo Parreira da Silva
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 08/53094-4 - Sistemas dinâmicos em espaços de dimensão infinita sob perturbações
• Beneficiário: Alexandre Nolasco de Carvalho
• Modalidade de apoio: Bolsas no Exterior - Pesquisa