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

9 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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AU - Bocanegra-Rodríguez, Lito E.

AU - Calsavara, Bianca M.R.

AU - Seminario-Huertas, Paulo N.

AU - Sotelo-Pejerrey, Alfredo

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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.

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KW - delay

KW - global attractor

KW - upper-semicontinuity

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ER -

Global attractors for a system of elasticity with small delays

Abstract

Bibliographical note

Keywords

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