TITLE:
Estimate on the Dimension of Global Attractor for Nonlinear Higher-Order Coupled Kirchhoff Type Equations
AUTHORS:
Guoguang Lin, Lingjuan Hu
KEYWORDS:
Higher-Order, Kirchhoff-Type Equations, Global Attractor, Hausdorff Dimension, Fractal Dimension
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.8 No.1,
January
9,
2018
ABSTRACT: In this paper, we investigate the finite dimensions
of the global attractor for nonlinear higher-order coupled Kirchhoff type
equations with strong linear damping in Hilbert spaces E0and E1. Under the appropriate assumptions, we acquire a
precise estimate of the upper bound for its Hausdorff and Fractal dimensions.