| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Sao Paulo, Escola Artes Ciencias & Humanidades, Sao Paulo, SP - Brazil
[2] Univ Estadual Paulista, Inst Geociencias & Ciencias Exatas, Rio Claro, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | QUARTERLY OF APPLIED MATHEMATICS; v. 73, n. 3, p. 537-552, 2015. |
| Web of Science Citations: | 8 |
| Abstract | |
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) | |
| FAPESP's process: | 12/06753-8 - Continuity of global attractors: Correctors and convergence rates |
| Grantee: | Ricardo Parreira da Silva |
| Support Opportunities: | Regular Research Grants |