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Research Article | Open Access

Dynamical behavior of Benjamin-Bona-Mahony system with finite distributed delay in 3D

Lingrui Zhang1, Xue-zhi Li1, Keqin Su2( )
Department of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
College of Information and Management Science, Henan Agricultural University, Zhengzhou 450046, China
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Abstract

We study the Benjamin-Bona-Mahony model with finite distributed delay in 3D, which depicts the dispersive impact of long waves. Based on the well-posedness of model, the family of pullback attractors for the evolutionary processes generated by a global weak solution has been obtained, which is unique and minimal, via verifying asymptotic compactness in functional space with delay C V and topological space V × C V , where the energy equation method and a retarded Gronwall inequality are utilized.

Keywords

Benjamin-Bona-Mahony systemdistributed delaypullback attractor

References

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Electronic Research Archive
Volume 31 Issue 11,
November 2023
Pages 6881-6897
DOI: 10.3934/era.2023348

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Cite this article:
Zhang L, Li X-z, Su K. Dynamical behavior of Benjamin-Bona-Mahony system with finite distributed delay in 3D. Electronic Research Archive, 2023, 31(11): 6881-6897. https://doi.org/10.3934/era.2023348

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Received: 18 August 2023
Revised: 04 October 2023
Accepted: 08 October 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)