Work

Attractors and upper semicontinuity for an extensible beam with nonlocal structural damping

Year: 2026

Type: article

Abstract: We analyze the asymptotic behavior of a class of extensible beam models governed by a nonlocal structural damping mechanism of the form , where . The coefficient is a degenerate ‐function depending on the linear energy of the system and determines the intensity of the damping. Our main result establishes that, for each , the ‐semigroup generated by the weak solutions of the problem admits a compact global attractor , where denotes the unstable manifold emanating from the set of stationary points. Moreover, we show the upper semicontinuity of the family of global attractors with respect to the fractional exponent .

Source: ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

DOI: 10.1002/zamm.70338

Authors: Zayd Hajjej, Yanan Li, Vando Narciso, Yue Sun

Institutions: King Saud University, Harbin Engineering University, Universidade Estadual de Mato Grosso do Sul, Nanjing Tech University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,460

Funder: Natural Science Foundation of Jiangsu Province