@article{9ebef8f7248b43fd918cf4e2fc39cde0,
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.",
keywords = "Lam{\'e} system, delay, global attractor, upper-semicontinuity",
author = "Ara{\'u}jo, {Rawlilson O.} and Bocanegra-Rodr{\'i}guez, {Lito E.} and Calsavara, {Bianca M.R.} and Seminario-Huertas, {Paulo N.} and Alfredo Sotelo-Pejerrey",
note = "Funding Information: 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. Funding Information: 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. Publisher Copyright: {\textcopyright} 2021 John Wiley & Sons, Ltd.",
year = "2021",
month = may,
day = "30",
doi = "10.1002/mma.7232",
language = "American English",
volume = "44",
pages = "6911--6922",
journal = "Mathematical Methods in the Applied Sciences",
issn = "0170-4214",
publisher = "John Wiley and Sons Ltd",
number = "8",
}