Electron. J. Differential Equations, Vol. 2024 (2024), No. 16, pp. 1-16.

Uniform attractors of non-autonomous suspension bridge equations with memory

Lulu Wang, Qiaozhen Ma

Abstract:
In this article, we investigate the long-time dynamical behavior of non-autonomous suspension bridge equations with memory and free boundary conditions. We first establish the well-posedness of the system by means of the maximal monotone operator theory. Secondly, the existence of uniformly bounded absorbing set is obtained. Finally, asymptotic compactness of the process is verified, and then the existence of uniform attractors is proved for non-autonomous suspension bridge equations with memory term.

Submitted November 20, 2023. Published February 10, 2024.
Math Subject Classifications: 35B40, 37B55, 37L30.
Key Words: Uniform attractor; non-autonomous bridge equation; maximal monotone operator; memory term.
DOI: 10.58997/ejde.2024.16

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Lulu Wang
College of Mathematics and Statistics
Northwest Normal University
Lanzhou, Gansu 730070, China
email: wangll0526@126.com
Qiaozhen Ma
College of Mathematics and Statistics
Northwest Normal University
Lanzhou, Gansu 730070, China
email: maqzh@nwnu.edu.cn

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