Global attractors for a nonlinear plate equation modeling the oscillations of suspension bridges

Autor:	Yang Liu
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	nonlinear plate equations global well-posedness global attractors dissipative dynamical system asymptotic smoothness Analytic mechanics QA801-939
Zdroj:	Communications in Analysis and Mechanics, Vol 15, Iss 3, Pp 436-456 (2023)
Druh dokumentu:	article
ISSN:	2836-3310
DOI:	10.3934/cam.2023021?viewType=HTML
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a89f20c853db4941946db8253d23523e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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