Long-Time Dynamics for a Nonlinear Viscoelastic Kirchhoff Plate Equation
Xiaoming Peng , Yadong Shang , Huafei Di
Chinese Annals of Mathematics, Series B ›› 2020, Vol. 41 ›› Issue (4) : 627 -644.
Long-Time Dynamics for a Nonlinear Viscoelastic Kirchhoff Plate Equation
This paper is devoted to study the long-time dynamics for a nonlinear viscoelastic Kirchhoff plate equation. Under some growth conditions of g and f, the existence of a global attractor is granted. Furthermore, in the subcritical case, this global attractor has finite Hausdorff and fractal dimensions.
Global attractor / Kirchhoff plate / Memory kernel / Finite Hausdorff dimensions
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