三维有限分布时滞Benjamin-Bona-Mahony系统的动力学行为

IF 1 4区数学 Q1 MATHEMATICS

Electronic Research Archive Pub Date : 2023-01-01 DOI:10.3934/era.20233348

Lingrui Zhang, Xue-zhi Li, Keqin Su

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引用次数: 0

摘要

< >< >我们研究了三维有限分布延迟的Benjamin-Bona-Mahony模型，该模型描述了长波的色散影响。在模型适定性的基础上，利用能量方程法和延迟Gronwall不等式，验证了具有延迟C_V $的泛函空间和拓扑空间V\乘以C_V $上的渐近紧性，得到了由全局弱解生成的演化过程的拉回吸引子族的唯一性和极小性。

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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 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.

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来源期刊

Electronic Research Archive MATHEMATICS-

CiteScore

1.30

自引率

12.50%

发文量

170