| Full text | |
| Author(s): |
Nakasato, Jean Carlos
;
Pazanin, Igor
;
Pereira, Marcone Correa
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 524, n. 1, p. 21-pg., 2023-02-07. |
| Abstract | |
In this paper, we investigate the roughness-induced effects on the nonlinear system describing the non-isothermal Hele-Shaw flow of a non-Newtonian fluid. Allowing different orders between the amplitude and the period of the boundary roughness, we rigorously determine the limit problems and also provide the corresponding rates of convergence in the critical case.(c) 2023 Elsevier Inc. All rights reserved. (AU) | |
| 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: | 20/04813-0 - Asymptotic and qualitative analysis of integro-differential equations |
| Grantee: | Marcone Corrêa Pereira |
| Support Opportunities: | Regular Research Grants |