Estimate on the Dimension of Global Attractor for Nonlinear Higher-Order Coupled Kirchhoff Type Equations - Advances in Pure Mathematics

APM > Vol.8 No.1, January 2018

Estimate on the Dimension of Global Attractor for Nonlinear Higher-Order Coupled Kirchhoff Type Equations ()

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DOI: 10.4236/apm.2018.81002 769 Downloads 1,502 Views Citations

Author(s)

Guoguang Lin, Lingjuan Hu

Affiliation(s)

Department of Mathematics, Yunnan University, Kunming, China.

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 E₀ and E₁. Under the appropriate assumptions, we acquire a precise estimate of the upper bound for its Hausdorff and Fractal dimensions.

KEYWORDS

Higher-Order, Kirchhoff-Type Equations, Global Attractor, Hausdorff Dimension, Fractal Dimension

Share and Cite:

Lin, G. and Hu, L. (2018) Estimate on the Dimension of Global Attractor for Nonlinear Higher-Order Coupled Kirchhoff Type Equations. Advances in Pure Mathematics, 8, 11-24. doi: 10.4236/apm.2018.81002.

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