| Full text | |
| Author(s): |
Narciso, V.
;
Nascimento, M. J. D.
;
Pelicer, M. L.
;
Picolli, I. A. S.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. N/A, p. 18-pg., 2025-06-20. |
| Abstract | |
In this paper, we consider a class of non-autonomous beam/plate equations with an integro-differential damping given by a possibly degenerate memory and an energy damping given by a nonlocal epsilon-perturbed coefficient. For each epsilon > 0, we show that the dynamical system generated by the weak solutions of the corresponding autonomous problem has a compact global attractor A(epsilon) that has finite fractal dimension and smoothness. Furthermore, we prove that the family of attractors {A(epsilon)}(epsilon>0) is upper semicontinuous with respect to parameter epsilon. (AU) | |
| FAPESP's process: | 22/16305-4 - Long-time dynamics of semilinear problems |
| Grantee: | Marcelo José Dias Nascimento |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 20/14075-6 - Dynamical systems and their attractors under perturbations |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | Research Projects - Thematic Grants |