Banca de DEFESA: ADRIANO PEDREIRA CATTAI

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : ADRIANO PEDREIRA CATTAI
DATE: 11/12/2021
TIME: 10:00
LOCAL: Auditório do IME
TITLE:

Existence of solution and asymptotic behavior of some dissipative models involving the monotono p-Laplacian operator

KEY WORDS:

Thermoelasticity; p-Laplacian; Existence of solution; Asymptotic behavior.

PAGES: 90
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Análise
SPECIALTY: Equações Diferenciais Parciais
SUMMARY:

We study the existence of solution and the asymptotic behavior for four specific models: wave equation with memory; coupled system of wave equations; coupled system of wave equation with heat equation (thermo-elastic system) and thermo-elastic system with external source. We analyze these problems under the interference of the monotono p-Laplacian operator. Our approach presents the recent aspects in the treatment of these models, in the scope of Partial Differential Equations. In this sense, we highlight our thermo-elastic model with p-Laplacian, as far as we know, it was presented for the first time in the literature precisely in this thesis. For the existence of a solution weuse the Faedo-Galerkin Method. For the analysis of the asymptotic behavior we used different andrecent techniques: in the stability analysis, the Theorem of M. Nakao and H. Kuwahara (1987) was used, and also the Theorem of P. Martinez (1999), based on a new inequality that generalizes the previous results of A. Haraux (1985) and M. Nakao (1978); for the finite time “Blow-up” analysis weused the Lemma de Y. Qin and J. Rivera (2004).

BANKING MEMBERS:
Presidente - 323.635.594-87 - CARLOS ALBERTO RAPOSO DA CUNHA - UFSJ
Interno - 1765600 - JOILSON OLIVEIRA RIBEIRO
Externo à Instituição - SEBASTIÃO MARTINS SIQUEIRA CORDEIRO - UFPA
Externo à Instituição - DUCIVAL CARVALHO PEREIRA - UEPA
Externo à Instituição - OCTAVIO PAULO VERA VILLAGRAN
Externo à Instituição - HUY HOANG NGUYEN - UTA