College of Mathematics and Statistics
Northwest Normal University
Lanzhou, Gansu 730070, China
email: wangll0526@126.com
College of Mathematics and Statistics
Northwest Normal University
Lanzhou, Gansu 730070, China
email: maqzh@nwnu.edu.cn
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
Show me the PDF file (356 KB), TEX file for this article.
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Lulu Wang College of Mathematics and Statistics Northwest Normal University Lanzhou, Gansu 730070, China email: wangll0526@126.com |
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Qiaozhen Ma College of Mathematics and Statistics Northwest Normal University Lanzhou, Gansu 730070, China email: maqzh@nwnu.edu.cn |
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