Global attractors for a system of elasticity with small delays

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...

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Detalles Bibliográficos
Autores: Araujo, Rawlilson O. [UNESP], Bocanegra-Rodriguez, Lito E., Calsavara, Bianca M. R., Seminario-Huertas, Paulo N., Sotelo-Pejerrey, Alfredo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:Brasil
Institución:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/209961
Acceso en línea:http://dx.doi.org/10.1002/mma.7232
http://hdl.handle.net/11449/209961
Access Level:acceso abierto
Palabra clave:delay
global attractor
Lame system
upper-semicontinuity
Descripción
Sumario: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.