Global attractors for the Kirchhoff plate equation with time-varying delay
Abstract
This paper is devoted to the long-time dynamics of a Kirchhoff plate equation with time-varying delay. We first establish the well-posedness of the model. Subsequently, we demonstrate that the system is gradient, characterized by the existence of a Lyapunov function and bounded absorbing sets. Finally, we prove the existence of a compact global attractor with finite fractal dimension through a stabilizability estimate.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Neural Networks Stability and Synchronization
Mathematical Biology Tumor Growth
Publication details
- Journal / source
- Discrete and Continuous Dynamical Systems - S
- Volume
- 21
- Issue
- 0
- Pages
- 223–241
- Publication date
- 1 January 2026