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LONG-TIME BEHAVIOR FOR FRACTIONAL WAVE EQUATIONS GOVERNED BY BI-HARMONIC OPERATOR

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Autor(es):
Nascimento, Marcelo ; Pelicer, Mauricio ; Picolli, Iago
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 29, n. 6, p. 20-pg., 2023-11-23.
Resumo

. In this paper we consider a semilinear second order in time fractional wave equation governed by bi-harmonic operator with clamped boundary conditions in a bounded smooth domain that models flight structures. We address the problem of the local and global well-posedness, and we establish the existence of a compact global attractor for the associated evolution semigroup and show that the family of global attractors is upper semicontinuous. (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
Processo FAPESP: 22/16305-4 - Dinâmica assintótica de problemas semilineares
Beneficiário:Marcelo José Dias Nascimento
Modalidade de apoio: Auxílio à Pesquisa - Regular