Title
Global attractors for a system of elasticity with small delays
Date Issued
30 May 2021
Access level
metadata only access
Resource Type
journal article
Author(s)
Araújo R.O.
Bocanegra-Rodríguez L.E.
Calsavara B.M.R.
Sotelo-Pejerrey A.
Publisher(s)
John Wiley and Sons Ltd.
Abstract
This paper is concerned with dynamics of elasticity systems featuring a nonlinear foundation of critical growth and delay effects. The existence of global attractors for such systems has been studied recently. Our main contribution establishes the upper-semicontinuity of attractors with respect to a small parameter multiplying the delay term. Our results are new even for the analogous scalar wave equation.
Start page
6911
End page
6922
Volume
44
Issue
8
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Subjects
DOI
Scopus EID
2-s2.0-85099922424
Source
Mathematical Methods in the Applied Sciences
ISSN of the container
01704214
Sponsor(s)
The authors thank Professor T. F. Ma for many helpful conversations on the subject. The third author was supported by FAPESP grant 2019/02512‐5 and the fourth author by INCTMat‐CAPES grant 88887.507829/2020‐00 and FEDER‐Junta de Andalucia project P18‐FR‐4509.
Sources of information:
Directorio de Producción Científica
Scopus