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Global Attractor of Two-Dimensional Strong Damping KDV Equation and Its Dimension Estimation

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DOI: 10.4236/am.2014.51002    4,478 Downloads   6,173 Views   Citations

ABSTRACT

Firstly, a priori estimates are obtained for the existence and uniqueness of solutions of two dimensional KDV equations, and prove the existence of the global attractor, finally get the upper bound estimation of the Hausdorff and fractal dimension of attractors.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

C. Zhang and G. Lin, "Global Attractor of Two-Dimensional Strong Damping KDV Equation and Its Dimension Estimation," Applied Mathematics, Vol. 5 No. 1, 2014, pp. 7-15. doi: 10.4236/am.2014.51002.

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