| Full text | |
| Author(s): |
Nakasato, Jean Carlos
;
Pereira, Marcone Correa
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 392, p. 44-pg., 2024-02-22. |
| Abstract | |
In this paper, we study the asymptotic behavior of the solutions of the p -Laplacian equation with mixed homogeneous Neumann-Dirichlet boundary conditions. It is posed in a two-dimensional rough thin domain with two different composites periodically distributed. Each composite has its own periodicity and roughness order. Here, we obtain distinct homogenized limit equations which will depend on the relationship among the roughness and thickness orders of each one. (c) 2024 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 23/03847-6 - Asymptotic analysis of differential equations in singularly perturbed domains |
| Grantee: | Jean Carlos Nakasato |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 22/08112-1 - Boundary perturbation problems on partial differential equations |
| Grantee: | Jean Carlos Nakasato |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 20/14075-6 - Dynamical systems and their attractors under perturbations |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | Research Projects - Thematic Grants |