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

Producción científica: Artículo Científico › Artículo original › revisión exhaustiva

10 Citas (Scopus)

Resumen

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.

Idioma original	Inglés estadounidense
Páginas (desde-hasta)	6911-6922
-	12
Publicación	Mathematical Methods in the Applied Sciences
Volumen	44
N.º	8
DOI	https://doi.org/10.1002/mma.7232
Estado	Indizado - 30 may. 2021
Publicado de forma externa	Sí

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© 2021 John Wiley & Sons, Ltd.

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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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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

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JO - Mathematical Methods in the Applied Sciences

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Global attractors for a system of elasticity with small delays

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