| Full text | |
| Author(s): |
Azevedo, Vinicius T.
;
Bonotto, Everaldo M.
;
Cunha, Arthur C.
;
Nascimento, Marcelo J. D.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 365, p. 39-pg., 2023-05-02. |
| Abstract | |
We consider a nonautonomous semilinear evolution problem that models some sort of propagation problem in nonlinear elastic rods and nonlinear ion-acoustic waves. We investigate the existence and stability of a family of pullback exponential attractors for our problem under suitable growth and dissipativeness conditions. Moreover, we also prove the upper and lower semicontinuity of this family of pullback exponential attractors at time zero. As a particular case, we obtain the existence of the pullback attractor in an appropriate space, we prove its upper semicontinuity and, lastly, we obtain a regularity result of this pullback attractor.(c) 2023 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 19/26841-8 - Study of non-autonomous semilinear parabolic and hyperbolic 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 |