Work

Long-time dynamics of a random higher-order Kirchhoff model with variable coefficient rotational inertia

Year: 2024

Type: article

Abstract: This paper delves into the stochastic asymptotic behavior of a non-autonomous stochastic higher-order Kirchhoff equation with variable coefficient rotational inertia. The equation is solved using the Galerkin method, and a stochastic dynamical system is established on this basis. Uniform estimation demonstrates a family of Dk−absorbing sets in the stochastic dynamical system Φk, and the asymptotic compactness of Φk is proved via decomposition. Finally, the family of Dk−random attractors is acquired for the stochastic dynamical system Φk in Vm+k(Ω)×Vm+kb0(Ω). These results improve and extend those in recent literature (Lv et al., 2021). The findings promote the relevant conclusions of the non-autonomous stochastic higher-order Kirchhoff model and provide a theoretical basis for its subsequent application and research.

Source: Results in Applied Mathematics

DOI: 10.1016/j.rinam.2024.100498

Authors: Penghui Lv, Yuxiao Cun, Guoguang Lin

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,490

Funders: Fundamental Research Funds for Central Universities of the Central South University, Major Project of Philosophy and Social Science Research in Colleges and Universities of Jiangsu Province

OpenAlex ID: W4402945752

FWCI:

Cites: 35

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Related to: 10