Homogenization in a thin domain with an oscillatory boundary
In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a thin domain of the type where the function G(x,y) is periodic in y of period L. Observe that the upper boundary of the thin domain presents a highly oscillatory behavior and, moreover, the height of t...
| Autores: | , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/41983 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/41983 |
| Access Level: | acceso abierto |
| Palavra-chave: | 517.9 Thin domain Oscillating boundary Homogenization Extension operator Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Resumo: | In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a thin domain of the type where the function G(x,y) is periodic in y of period L. Observe that the upper boundary of the thin domain presents a highly oscillatory behavior and, moreover, the height of the thin domain, the amplitude and period of the oscillations are all of the same order, given by the small parameter ϵ. |
|---|