Attractors for fully nonlinear parabolic equations and non-autonomous equations
Continuity of attractors for dynamical systems: Unbounded domains and uniformly-lo...
| Full text | |
| Author(s): |
Tavares-Lima, E. A.
;
Lozada-Cruz, G.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 395, p. 25-pg., 2024-04-08. |
| Abstract | |
In this paper we study the asymptotic dynamics for a class of semilinear parabolic problems with Dirichlet boundary conditions in domains with a small hole of size proportional to a positive parameter epsilon. In other words, we prove that the family of attractors behaves continuously as epsilon -> 0. We will also provide the convergence rates in terms of the parameter. (c) 2024 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 20/14075-6 - Dynamical systems and their attractors under perturbations |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | Research Projects - Thematic Grants |