Hausdorff Dimension and Fractal Dimension of the Global Attractor for the Higher-Order Coupled Kirchhoff-Type Equations

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DOI: 10.4236/jamp.2017.512197    640 Downloads   1,373 Views  Citations

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.

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Lin, G. and Yang, S. (2017) Hausdorff Dimension and Fractal Dimension of the Global Attractor for the Higher-Order Coupled Kirchhoff-Type Equations. Journal of Applied Mathematics and Physics, 5, 2411-2424. doi: 10.4236/jamp.2017.512197.

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