TITLE:
Long Time Behavior of a Class of Generalized Beam-Kirchhoff Equations
AUTHORS:
Guoguang Lin, Keshun Peng
KEYWORDS:
Beam-Kirchhoff Equation, Galerkin’s Method, The Family of Global Attractor, Dimension Estimation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.10,
October
25,
2023
ABSTRACT: In this paper, we study the long time behavior of a class of generalized Beam-Kirchhoff equation , and prove the existence and uniqueness of the global solution of this class of equation by Galerkin method by making some assumptions about the nonlinear function term. The existence of the family of global attractor and its Hausdorff dimension and Fractal dimension estimation are proved.