Long Time Behavior of a Class of Generalized Beam-Kirchhoff Equations  

作　　者：Guoguang Lin Keshun Peng Guoguang Lin;Keshun Peng(Department of Mathematics, Yunnan University, Kunming, China)

机构地区：[1]Department of Mathematics, Yunnan University, Kunming, China

出　　处：《Journal of Applied Mathematics and Physics》2023年第10期2963-2981,共19页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：Beam-Kirchhoff Equation Galerkin’s Method The Family of Global Attractor Dimension Estimation 

分 类 号：O17[理学—数学]