Dynamics for a class of energy beam models with non-constant material density

Dynamics for a class of energy beam models with non-constant material density

A semilinear beam/plate equation with non-constant material density in the context of energy damping models is considered. Well-posedness and asymptotic behavior of solutions are established. The main result deals with the existence of a compact global attractor for the proposed problem.

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Veröffentlicht in:Zeitschrift für angewandte Mathematik und Physik 2024-02, Vol.75 (1), Article 8
Hauptverfasser: Bezerra, Flank D. M., Liu, Linfang, Narciso, Vando
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Damping
Density
Engineering
Mathematical Methods in Physics
Theoretical and Applied Mechanics
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Zusammenfassung:A semilinear beam/plate equation with non-constant material density in the context of energy damping models is considered. Well-posedness and asymptotic behavior of solutions are established. The main result deals with the existence of a compact global attractor for the proposed problem.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-023-02147-x