Banca de DEFESA: CARLOS ALBERTO DA SILVA NONATO

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : CARLOS ALBERTO DA SILVA NONATO
DATE: 24/11/2022
TIME: 15:00
LOCAL: UFBA
TITLE:

Recent advances in delay dissipative systems governed by partial differential equations

KEY WORDS:

Wave equation, porous elastic swelling, laminated beams, non-constant weights and delay, Kelvin-Voigt delay, strong delay, exponential decay, polynomial decay.

PAGES: 85
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Análise
SPECIALTY: Equações Diferenciais Parciais
SUMMARY:

This work deals with the global existence of solution and the asymptotic behavior for three distinct models: The wave equation, swelling of porous elastic soils with a saturation of fluid, and the laminated beams model. For all models, is applied the semigroup theory to prove the global existence of the solution. In the analysis of the asymptotic behavior, are applied distinct technics. In the first two models cited above, is considered the action of weights and non-constants delay. The exponential decay is proved by using the multipliers method. For the laminated beams model, is take into account
the action of viscoelastic damping and a strong time delay, two situations are observed: Exponential stability if the propagation speed of the waves is the same, otherwise, the polynomial decay with rate t^{1/2}.

COMMITTEE MEMBERS:
Interno - ***.635.594-** - CARLOS ALBERTO RAPOSO DA CUNHA - UFSJ
Interno - 1765600 - JOILSON OLIVEIRA RIBEIRO
Externo ao Programa - 2465298 - KLEYBER MOTA DA CUNHA - UFBAExterno à Instituição - ANDERSON DE JESUS ARAÚJO RAMOS - UFPA
Externo à Instituição - SEBASTIÃO MARTINS SIQUEIRA CORDEIRO - UFPA