Long-Time Dynamics for a Nonlinear Viscoelastic Kirchhoff Plate Equation

• 作 者: Xiaoming PENG Yadong SHANG Huafei DI
• 机 构: School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 51032
• 出 处: 数学年刊B辑（英文版）
• 发表日期: 2020年4期
• 关键词: Global attractor Kirchhoff plate Memory kernel Finite Hausdorff dimensions

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.