Author(s)

Guoguang Lin, Jiaying Zhou

Department of Mathematics, Yunnan University, Kunming, China.

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 E_k, 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.

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

Lin, G. and Zhou, J. (2022) The Family of Global Attractors for Kirchhoff-Type Coupled Equations. Journal of Applied Mathematics and Physics, 10, 2040-2060. doi: 10.4236/jamp.2022.106139.