Bresse Beam with Damping and Logarithmic Source

Sebasti?o CORDEIRO ¹Carlos BALDEZ ²Carlos RAPOSO ³Ducival PEREIRA ⁴Octavio VERA⁵

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作者信息

1. Department of Mathematics,Federal University of Pará,Abaetetuba,Pará,Brazil
2. Department of Mathematics,Federal University of Pará,Bragança,Pará,Brazil
3. Department of Mathematics,Federal University of Pará,Salinópolis,Pará,Brazil
4. Department of Mathematics,State University of Pará,Belém,Pará,Brazil
5. Department of Mathematics,University of Tarapacá,Arica,Chile
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Abstract

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.

Key words

Bresse beam/Logarithmic source/Global solution/Exponential decay/Numerical approach

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基金项目

UTA MAYOR(2022-2023)

UTA MAYOR(4764-22)

UTA MAYOR(2023-2024)

UTA MAYOR(4772-23)

CAPES/PrInt/UFBA/2022(Brazil)()

CNPq-Brazil Grant(307447/2023-5)

出版年

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

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