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Xu, G.-G. and Lin, G.-G. (2011) Global Attractor and Its Dimension Estimation for Generalized Boussinesq Equation. Science and Technology Information of China, No. 10, 54-61.

has been cited by the following article:

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

  AUTHORS: Yuhuai Liao

  KEYWORDS: Generalized Kolmogorov-Petrovlkii-Piskunov Equation, Existence of Solution, Hausdorff Dimension, Fractal Dimension

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.4, April 24, 2024

  ABSTRACT: 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.