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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Global attractors for a system of elasticity with small delays

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Author(s):
Araujo, Rawlilson O. [1] ; Bocanegra-Rodriguez, Lito E. [2] ; Calsavara, Bianca M. R. [3] ; Seminario-Huertas, Paulo N. [4, 5] ; Sotelo-Pejerrey, Alfredo [5]
Total Authors: 5
Affiliation:
[1] Sao Paulo State Univ, Dept Math, IGCE, Rio Claro, SP - Brazil
[2] Univ Sao Paulo, ICMC, Sao Carlos, SP - Brazil
[3] Univ Estadual Campinas, IMECC, Campinas, SP - Brazil
[4] Univ Brasilia, Dept Math, Brasilia, DF - Brazil
[5] Natl Univ Callao, Acad Dept Math, Bellavista 07011, Callao - Peru
Total Affiliations: 5
Document type: Journal article
Source: MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. 44, n. 8 JAN 2021.
Web of Science Citations: 0
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. (AU)

FAPESP's process: 19/02512-5 - Systems and partial differential equations
Grantee:Marcelo da Silva Montenegro
Support Opportunities: Research Projects - Thematic Grants