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Lin, G.G. and Jin, Y. (2019) Long-Time Behavior of Solutions for a Class of Nonlinear Higher Order Kirchhoff Equation. American Journal of Applied Mathematics, 7, 21.
https://doi.org/10.11648/j.ajam.20190701.14

has been cited by the following article:

• TITLE: The Family of Global Attractors for Kirchhoff-Type Coupled Equations

  AUTHORS: Guoguang Lin, Jiaying Zhou

  KEYWORDS: Kirchhoff Equation, the Existence and Uniqueness of Global Solution, the Family of Global Attractors, Hausdorff Dimension and Fractal Dimension of Global Attractor

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.6, June 30, 2022

  ABSTRACT: This paper mainly studies the initial value problems of Kirchhoff-type coupled equations. Firstly, by giving the hypothesis of Kirchhoff stress term , the Galerkin’s method obtains the existence uniqueness of the overall solution of the above problem by using a priori estimates in the spaces of E0 and Ek, and secondly, it proves that there is a family of global attractors for the above problem, and finally estimates the Hausdorff dimension and the Fractal dimension of the family of global attractors.