General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient

General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient

In this paper, we consider a plate equation as a model for a suspension bridge with a general nonlinear internal feedback and time-varying weight. Under some conditions on the feedback and the coefficient functions, we establish a general decay estimate for the associated energy functional, from whi...

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Veröffentlicht in:Results in applied mathematics 2021-11, Vol.12, p.100219, Article 100219
Hauptverfasser: Audu, Johnson D., Mukiawa, Soh Edwin, Almeida, Dilberto S.
Format: Artikel
Sprache:eng
Schlagworte:
General decay
Internal feedback
Plate equation
Suspension bridge
Varying-time weight
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Zusammenfassung:In this paper, we consider a plate equation as a model for a suspension bridge with a general nonlinear internal feedback and time-varying weight. Under some conditions on the feedback and the coefficient functions, we establish a general decay estimate for the associated energy functional, from which the exponential and the polynomial, are particular cases.
ISSN:2590-0374
2590-0374
DOI:10.1016/j.rinam.2021.100219