Busca avançada
Ano de início
Entree


Attractors for an Energy-Damped Viscoelastic Plate Equation

Texto completo
Autor(es):
Narciso, V. ; Nascimento, M. J. D. ; Pelicer, M. L. ; Picolli, I. A. S.
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. N/A, p. 18-pg., 2025-06-20.
Resumo

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)

Processo FAPESP: 22/16305-4 - Dinâmica assintótica de problemas semilineares
Beneficiário:Marcelo José Dias Nascimento
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 20/14075-6 - Sistemas dinâmicos e seus atratores sob perturbação
Beneficiário:Alexandre Nolasco de Carvalho
Modalidade de apoio: Auxílio à Pesquisa - Temático