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

Cheng Zhang, Guoguang Lin

Mathematical of Yunnan University, Kunming, China.

DOI: 10.4236/am.2014.51002                

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.

Keywords

KDV Equation; Strongly Damped; Existence; Global Attractor; Dimension Estimation

Conflicts of Interest

The authors declare no conflicts of interest.

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