Lin, G.G. and Chen, Y.H. (2020) A Family of Global Attractors for the Higher-Order Kirchhoff-Type Equations and Its Dimension Estimation. American Journal of Applied Mathematics, 8, 300-310.
https://doi.org/10.11648/j.ajam.20200806.12

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.