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Nakao, M. and Zhijian, Y. (2007) Global Attractors for Some Quasi-Linear Wave Equations with a Strong Dissipation. Advances in Mathematical Sciences and Applications, 17, 89.

has been cited by the following article:

• 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.