Global attractors for a system of elasticity with small delays

Rawlilson O. Araújo; Lito E. Bocanegra-Rodríguez; Bianca M.R. Calsavara; Paulo N. Seminario-Huertas; Alfredo Sotelo-Pejerrey

doi:10.1002/mma.7232

Global attractors for a system of elasticity with small delays

Rawlilson O. Araújo
, Lito E. Bocanegra-Rodríguez
, Bianca M.R. Calsavara
, Paulo N. Seminario-Huertas
, Alfredo Sotelo-Pejerrey

Research output: Contribution to journal › Original Article › peer-review

11 Scopus citations

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.

Original language	American English
Pages (from-to)	6911-6922
Number of pages	12
Journal	Mathematical Methods in the Applied Sciences
Volume	44
Issue number	8
DOIs	https://doi.org/10.1002/mma.7232
State	Indexed - 30 May 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021 John Wiley & Sons, Ltd.

Keywords

Lamé system
delay
global attractor
upper-semicontinuity

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10.1002/mma.7232

Cite this

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title = "Global attractors for a system of elasticity with small delays",

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.",

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AU - Araújo, Rawlilson O.

AU - Bocanegra-Rodríguez, Lito E.

AU - Calsavara, Bianca M.R.

AU - Seminario-Huertas, Paulo N.

AU - Sotelo-Pejerrey, Alfredo

PY - 2021/5/30

Y1 - 2021/5/30

N2 - 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.

AB - 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.

KW - Lamé system

KW - delay

KW - global attractor

KW - upper-semicontinuity

UR - https://www.scopus.com/pages/publications/85099922424

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DO - 10.1002/mma.7232

M3 - Original Article

AN - SCOPUS:85099922424

SN - 0170-4214

VL - 44

SP - 6911

EP - 6922

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 8

ER -

Global attractors for a system of elasticity with small delays

Abstract

Bibliographical note

Keywords

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Cite this