Uniform stability of a non-autonomous semilinear Bresse system with memory
Loading...
Files
External sources
External sources
Date
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier B.V.
Type
Article
Access right
Files
External sources
External sources
Abstract
The Bresse system is a recognized mathematical model for vibrations of a circular arched beam that contains the class of Timoshenko beams when the arch's curvature is zero. It turns out that the majority of mathematical analysis to Bresse systems are concerned with the asymptotic stability of linear homogeneous problems. Under this scenario, we consider a nonlinear Bresse system modeling arched beams with memory effects, in a nonlinear elastic foundation. Then we establish uniform decay rates of the energy under time-dependent external forces. (C) 2019 Elsevier Inc. All rights reserved.
Description
Keywords
Bresse system, Energy decay, Visco-elasticity, Infinite memory
Language
English
Citation
Applied Mathematics And Computation. New York: Elsevier Science Inc, v. 387, 11 p., 2020.
