@article{Liu2023, 
author = {Yang Liu},
title = {Global attractors for a nonlinear plate equation modeling the oscillations of suspension bridges},
year = {2023},
journal = {Communications in Analysis and Mechanics},
volume = {15},
number = {3},
pages = {436-456},
keywords = {nonlinear plate equations, global well-posedness, global attractors, dissipative dynamical system, asymptotic smoothness},
url = {https://www.sciopen.com/article/10.3934/cam.2023021},
doi = {10.3934/cam.2023021},
abstract = {This paper is concerned with a nonlinear plate equation modeling the oscillations of suspension bridges. Under mixed boundary conditions consisting of simply supported and free boundary conditions, we obtain the global well-posedness of solutions in suitable function spaces. In addition, we use the perturbed energy method to prove the existence of a bounded absorbing set and establish a stabilizability estimate. Then, we derive the existence of a global attractor by verifying the asymptotic smoothness of the corresponding dissipative dynamical system.}
}