Long-time dynamics of a class of nonlocal extensible beams with time delay

Autor:	Cuncai Liu, Chang Zhang, Fengjuan Meng
Rok vydání:	2021
Předmět:	Physics Class (set theory) General Mathematics 010102 general mathematics Mathematical analysis 01 natural sciences Domain (mathematical analysis) 010101 applied mathematics Mechanics of Materials Bounded function Time dynamics General Materials Science 0101 mathematics Beam (structure)
Zdroj:	Mathematics and Mechanics of Solids. 27:319-333
ISSN:	1741-3028 1081-2865
DOI:	10.1177/10812865211019457
Popis:	This work is devoted to the following nonlocal extensible beam equation with time delay: [Formula: see text] on a bounded smooth domain [Formula: see text]. The main purpose of this paper is to consider the long-time dynamics of the system. Under suitable assumptions, the quasi-stability property of the system is established, based on which the existence and regularity of a finite-dimensional compact global attractor are obtained. Moreover, the existence of exponential attractors is proved.
Databáze:	OpenAIRE
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