| Texto completo | |
| Autor(es): |
Arrieta, Jose M.
;
Nakasato, Jean Carlos
;
Villanueva-Pesqueira, Manuel
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 251, p. 19-pg., 2024-09-29. |
| Resumo | |
This paper presents an extension of the unfolding operator technique, initially applied to twodimensional domains, to the realm of three-dimensional thin domains. The advancement of this methodology is pivotal, as it enhances our understanding and analysis of three-dimensional geometries, which are crucial in various practical fields such as engineering and physics. Our work delves into the asymptotic behavior of solutions to a reaction-diffusion equation with Neumann boundary conditions set within such a oscillatory 3-dimensional thin domain. The method introduced enables the deduction of effective problems across all scenarios, tackling the intrinsic complexity of these domains. This complexity is especially pronounced due to the possibility of diverse types of oscillations occurring along their boundaries. (AU) | |
| Processo FAPESP: | 23/03847-6 - Análise assintótica de equações diferenciais em domínios singularmente perturbados |
| Beneficiário: | Jean Carlos Nakasato |
| Modalidade de apoio: | Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado |