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Global Attractor of Two-Dimensional Strong Damping KDV Equation and Its Dimension Estimation
Mathematical of Yunnan University, Kunming, China
Mathematical of Yunnan University, Kunming, China
- 1 Mathematical of Yunnan University, Kunming, China
- 2 Mathematical of Yunnan University, Kunming, China
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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.
KeywordsKDV EquationStrongly DampedExistenceGlobal AttractorDimension Estimation
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