The Global Attractor and Its Dimension Estimation of Generalized Kolmogorov-Petrovlkii-Piskunov Equation  

作　　者：Yuhuai Liao Yuhuai Liao(School of Artificial Intelligence, Wenshan University, Wenshan, China)

机构地区：[1]School of Artificial Intelligence, Wenshan University, Wenshan, China

出　　处：《Journal of Applied Mathematics and Physics》2024年第4期1178-1187,共10页应用数学与应用物理（英文）

摘　　要：In this paper, the initial boundary value problem of a class of nonlinear generalized Kolmogorov-Petrovlkii-Piskunov equations is studied. The existence and uniqueness of the solution and the bounded absorption set are proved by the prior estimation and the Galerkin finite element method, thus the existence of the global attractor is proved and the upper bound estimate of the global attractor is obtained.In this paper, the initial boundary value problem of a class of nonlinear generalized Kolmogorov-Petrovlkii-Piskunov equations is studied. The existence and uniqueness of the solution and the bounded absorption set are proved by the prior estimation and the Galerkin finite element method, thus the existence of the global attractor is proved and the upper bound estimate of the global attractor is obtained.

关 键 词：Generalized Kolmogorov-Petrovlkii-Piskunov Equation Existence of Solution Hausdorff Dimension Fractal Dimension 

分 类 号：O17[理学—数学]