| Texto completo | |
| Autor(es): |
Bruschi, Simone M.
;
Carvalho, Alexandre N.
;
Pimentel, Juliana F.
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Indiana University Mathematics Journal; v. 69, n. 2, p. 657-683, 2020. |
| Citações Web of Science: | 0 |
| Resumo | |
The aim of this article is to provide a relation between the well-known class of dissipative equations and the recently introduced class of slowly non-dissipative equations, in the setting of scalar reaction-diffusion equations. The latter type of equations is characterized by the existence of ``grow-up{''} (i.e., infinite time blowup) with absence of finite time blowup. A particular small perturbation of an unbounded non-dissipative global attractor is considered, in such a way that the perturbed attractor is dissipative. Although the continuity of the family of attractors is verified in compact sets, our choice of perturbation produces a great change on the dynamics close to the infinity of the phase space. In other words, we prove that the limit of the compact attractors is not the unbounded attractor of the limiting equation. (AU) | |
| Processo FAPESP: | 14/03685-7 - Continuidade de atratores para equações parabólicas semilineares |
| Beneficiário: | Juliana Fernandes da Silva Pimentel |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |
| Processo FAPESP: | 18/10997-6 - Robusteza de atratores sob perturbações autônomas ou não-autônomas: Estabilidade estrutural |
| Beneficiário: | Alexandre Nolasco de Carvalho |
| Modalidade de apoio: | Bolsas no Exterior - Pesquisa |