Uniform stability of a non-autonomous semilinear Bresse system with memory
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Data
2020-12-15
Autores
Araujo, Rawlilson O. [UNESP]
Marinho, Sheyla S.
Filho, Julio S. Prates
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Resumo
The Bresse system is a recognized mathematical model for vibrations of a circular arched beam that contains the class of Timoshenko beams when the arch's curvature is zero. It turns out that the majority of mathematical analysis to Bresse systems are concerned with the asymptotic stability of linear homogeneous problems. Under this scenario, we consider a nonlinear Bresse system modeling arched beams with memory effects, in a nonlinear elastic foundation. Then we establish uniform decay rates of the energy under time-dependent external forces. (C) 2019 Elsevier Inc. All rights reserved.
Descrição
Palavras-chave
Bresse system, Energy decay, Visco-elasticity, Infinite memory
Como citar
Applied Mathematics And Computation. New York: Elsevier Science Inc, v. 387, 11 p., 2020.