Long-Time Dynamics for a Nonlinear Viscoelastic Kirchhoff Plate Equation

Abstract

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.

Keywords

Global attractor / Kirchhoff plate / Memory kernel / Finite Hausdorff dimensions

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