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Bresse Beam with Damping and Logarithmic Source

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This paper investigates the stabilization of a Bresse system with internal damp-ing and logarithmic source.The authors use the potential well theory.For initial data in the stability set created by the Nehari surface,the existence of a global solution is proved by using Faedo-Galerkin's approximation.The Nakao theorem gives the exponential decay.A numerical approach is presented to illustrate the results obtained.

Bresse beamLogarithmic sourceGlobal solutionExponential decayNumerical approach

Sebasti?o CORDEIRO、Carlos BALDEZ、Carlos RAPOSO、Ducival PEREIRA、Octavio VERA

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Department of Mathematics,Federal University of Pará,Abaetetuba,Pará,Brazil

Department of Mathematics,Federal University of Pará,Bragança,Pará,Brazil

Department of Mathematics,Federal University of Pará,Salinópolis,Pará,Brazil

Department of Mathematics,State University of Pará,Belém,Pará,Brazil

Department of Mathematics,University of Tarapacá,Arica,Chile

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UTA MAYORUTA MAYORUTA MAYORUTA MAYORCAPES/PrInt/UFBA/2022(Brazil)CNPq-Brazil Grant

2022-20234764-222023-20244772-23307447/2023-5

2024

数学年刊B辑(英文版)
国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD
影响因子:0.129
ISSN:0252-9599
年,卷(期):2024.45(5)