Dynamics of parabolic equations in domains with a small hole II. Continuity of the attractors

Autor(es)

Tavares-Lima, E. A. ; Lozada-Cruz, G.

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 395, p. 25-pg., 2024-04-08.

Resumo

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)

• Processo FAPESP: 20/14075-6 - Sistemas dinâmicos e seus atratores sob perturbação
• Beneficiário: Alexandre Nolasco de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Temático