Yang, Z.J. and Liu, Z.M. (2015) Exponential Attractor for the Kirchhoff Equations with Strong Nonlinear Damping and Supercritical Nonlinearity. Applied Mathematics Letters, 46, 127-132.
https://doi.org/10.1016/j.aml.2015.02.019

has been cited by the following article:

• TITLE: The Global Attractors and Their Hausdorff and Fractal Dimensions Estimation for the Higher-Order Nonlinear Kirchhoff-Type Equation with Strong Linear Damping

  AUTHORS: Yunlong Gao, Yuting Sun, Guoguang Lin

  KEYWORDS: Nonlinear Higher-Order Kirchhoff Type Equation, The Existence and Uniqueness, The Global Attractors, Hausdorff Dimensions, Fractal Dimensions

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.5 No.4, November 23, 2016

  ABSTRACT: In this paper, we study the longtime behavior of solution to the initial boundary value problem for a class of strongly damped Higher-order Kirchhoff type equations: . At first, we prove the existence and uniqueness of the solution by priori estimation and the Galerkin method. Then, we obtain to the existence of the global attractor. At last, we consider that the estimation of the upper bounds of Hausdorff and fractal dimensions for the global attractors are obtained.