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| Bresse Beam with Damping and Logarithmic Source |
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Citation： |
Sebasti˜ao CORDEIRO,Carlos BALDEZ,Carlos RAPOSO,Ducival PEREIRA,Octavio VERA.Bresse Beam with Damping and Logarithmic Source[J].Chinese Annals of Mathematics B,2024,45(5):685~702 |
| Page view： 92
Net amount： 68 |
Authors： |
Sebasti?ao CORDEIRO; Carlos BALDEZ;Carlos RAPOSO;Ducival PEREIRA;Octavio VERA |
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| Abstract： |
This paper investigates the stabilization of a Bresse system with internal damping 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. |
Keywords： |
Bresse beam, Logarithmic source, Global solution, Exponential decay, Numerical
approach |
Classification： |
35B40, 35L70, 35A01, 74H40, 93D15 |
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