Global attractors for a system of elasticity with small delays

Autor: Bianca Morelli Rodolfo Calsavara, Lito E. Bocanegra-Rodríguez, Paulo N. Seminario-Huertas, Alfredo Sotelo‐Pejerrey, Rawlilson O. Araújo
Přispěvatelé: Universidade Estadual Paulista (Unesp), Universidade de São Paulo (USP), Universidade Estadual de Campinas (UNICAMP), Natl Univ Callao, Universidade de Brasília (UnB)
Rok vydání: 2021
Předmět:
Zdroj: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Web of Science
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Popis: Made available in DSpace on 2021-06-25T12:35:00Z (GMT). No. of bitstreams: 0 Previous issue date: 2021-01-25 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) FEDER-Junta de Andalucia Project 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. Sao Paulo State Univ, Dept Math, IGCE, Rio Claro, SP, Brazil Univ Sao Paulo, ICMC, Sao Carlos, SP, Brazil Univ Estadual Campinas, IMECC, Campinas, SP, Brazil Natl Univ Callao, Acad Dept Math, Bellavista 07011, Callao, Peru Univ Brasilia, Dept Math, Brasilia, DF, Brazil Sao Paulo State Univ, Dept Math, IGCE, Rio Claro, SP, Brazil FAPESP: 2019/02512-5 CAPES: 88887.507829/2020-00 FEDER-Junta de Andalucia Project: P18-FR-4509
Databáze: OpenAIRE