Work

Asymptotic behavior of Kirchhoff type plate equations with nonlocal weak damping, anti-damping and subcritical nonlinearity

Year: 2025

Type: article

Abstract: In this work we study the global well-posedness, dissipativity and existence of global attractors for Kirchhoff type plate equations with nonlocal weak damping and anti-damping, when the nonlinear term \(g(u)\) satisfies a subcritical growth condition. Firstly, we show the global well-posedness of this system by the monotone operator theory with locally Lipschitz perturbation. Secondly, we construct a refined Gronwall's inequality and then apply the barrier method to prove the dissipativity for this system. Lastly, the asymptotic smoothness by taking advantage of the energy reconstruction method, we deduce the existence of a global attractor for this system. For more information see https://ejde.math.txstate.edu/Volumes/2025/84/abstr.html

Source: Electronic Journal of Differential Equations

DOI: 10.58997/ejde.2025.84

Author: Ling Xu

Institution: Northwest Normal University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Awards: G5567900484, G8942906869