TITLE:
Hausdorff Dimension and Fractal Dimension of the Global Attractor for the Higher-Order Coupled Kirchhoff-Type Equations
AUTHORS:
Guoguang Lin, Sanmei Yang
KEYWORDS:
Higher-Order Coupled Kirchhoff-Type Equations, Source Term, Hausdorff Dimension, Fractal Dimension, Nonlinear Dissipation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.12,
December
29,
2017
ABSTRACT: This paper mainly deals with the higher-order coupled Kirchhoff-type
equations with nonlinear strong damped and source terms in a bounded domain. We
obtain some results that are estimation of the upper bounds of Hausdorff
dimension and Fractal dimension of the global attractor.