Applied Mathematics

Volume 5, Issue 1 (January 2014)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

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

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DOI: 10.4236/am.2014.51002    4,988 Downloads   7,117 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.

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Zhang, C. and Lin, G. (2014) Global Attractor of Two-Dimensional Strong Damping KDV Equation and Its Dimension Estimation. Applied Mathematics, 5, 7-15. doi: 10.4236/am.2014.51002.

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