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

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 uniqu...

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Bibliographic Details
Published in:Electronic research archive 2023, Vol.31 (11), p.6881-6897
Main Authors: Zhang, Lingrui, Li, Xue-zhi, Su, Keqin
Format: Article
Language:English
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Summary: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\times C_V $, where the energy equation method and a retarded Gronwall inequality are utilized.
ISSN:2688-1594
2688-1594
DOI:10.3934/era.20233348