Existence of an exponential attractor for a p−Kirchhoff model with infinite memory

The main objective of this work is to study the long-term dynamics of a p−Kirchhoff model with infinite memory exposed to structural forces on a bounded domain Ω ⊂ ℝn. In particular, the existence of a global attractor with exponential attraction rate and finite fractal dimension is shown, that is,...

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Detalles Bibliográficos
Autores: Noel Figueroa, Pablo Fernando, Santaria Leuyacc, Yony Raúl
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:Perú
Institución:Universidad Nacional Mayor de San Marcos
Repositorio:Revistas - Universidad Nacional Mayor de San Marcos
Idioma:español
OAI Identifier:oai:revistasinvestigacion.unmsm.edu.pe:article/22462
Acceso en línea:https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/22462
Access Level:acceso abierto
Palabra clave:p−Kirchhoff equation
infinite memory
global attractors
exponential attractors
Ecuaci´on de p−Kirchhoff
memoria infinita
atractores globales
atractores exponenciales
Descripción
Sumario:The main objective of this work is to study the long-term dynamics of a p−Kirchhoff model with infinite memory exposed to structural forces on a bounded domain Ω ⊂ ℝn. In particular, the existence of a global attractor with exponential attraction rate and finite fractal dimension is shown, that is, the existence of an exponential attractor is proved.