Smooth dynamics properties of a non-local evolution equation

Flank Bezerra; Severino da Silva; Dennys Silva

doi:10.3934/dcdsb.2023133

Article Contents

2024, Volume 29, Issue 3: 1283-1300. Doi: 10.3934/dcdsb.2023133

This issue Previous Article Bifurcation and Dynamics of the complex Chen systems Next Article The parabolic fractal dimension for the co-rotational Beris-Edwards system

Smooth dynamics properties of a non-local evolution equation

1.
Departamento de Matemática, Universidade Federal da Paraíba, 58051-900 João Pessoa PB, Brazil
2.
Unidade Acadêmica de Matemática, Universidade Federal de Campina Grande, 58051-900 Campina Grande PB, Brazil

^*Corresponding author: Flank Bezerra
^*Corresponding author: Flank Bezerra

Received: November 2022

Revised: July 2023

Early access: August 3, 2023

Published online: August 3, 2023

The first author is supported by CNPq # 303039/2021-3, Brazil. The third author is supported by Paraiba State Research Foundation (FAPESQ) # 1159/2021 (Edital 07-21), Brazil.

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Abstract

In this paper we analyse the asymptotic behaviour of non-local diffusion problems with local reaction term in $ L^p $-spaces. We show results of characterization and continuity of global attractors in the sense of symmetric Hausdorff distance with respect to the functional parameters from the model.

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Mathematics Subject Classification: Primary: 34D45, 45J05, 37L05; Secondary: 45M05.

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References

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