Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan-Taylor type
| Autor: | Vando Narciso, Marcelo M. Cavalcanti, M. A. Jorge Silva, V. N. Domingos Cavalcanti |
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| Rok vydání: | 2021 |
| Předmět: |
Applied Mathematics
010102 general mathematics Degenerate energy levels Mathematical analysis Type (model theory) 01 natural sciences Stability (probability) Extensibility 010101 applied mathematics 0101 mathematics Constant (mathematics) Degeneracy (mathematics) Analysis Energy (signal processing) Beam (structure) Mathematics |
| Zdroj: | Journal of Differential Equations. 290:197-222 |
| ISSN: | 0022-0396 |
| DOI: | 10.1016/j.jde.2021.04.028 |
| Popis: | In this paper, motivated by recent papers on the stabilization of evolution problems with nonlocal degenerate damping terms, we address an extensible beam model with degenerate nonlocal damping of Balakrishnan-Taylor type. We discuss initially on the well-posedness with respect to weak and regular solutions. Then we show for the first time how hard is to guarantee the stability of the energy solution (related to regular solutions) in the scenarios of constant and non-constant coefficient of extensibility. The degeneracy (in time) of the single nonlocal damping coefficient and the methodology employed in the stability approach are the main novelty for this kind of beam models with degenerate damping. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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