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Global Attractor and Dimension Estimation for a 2D Generalized Anisotropy Kuramoto-Sivashinsky Equation
Department of Mathematics, Yunnan University, Kunming, China
Department of Mathematics, Yunnan University, Kunming, China
Department of Mathematics, Yunnan University, Kunming, China
- 1 Department of Mathematics, Yunnan University, Kunming, China
- 2 Department of Mathematics, Yunnan University, Kunming, China
- 3 Department of Mathematics, Yunnan University, Kunming, China
International Journal of Modern Nonlinear Theory and Application·Volume 03 (2014)·Pages 163–172·Published 22 September 2014·DOI10.4236/ijmnta.2014.34018
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Abstract
In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solutions of a two dimensional generalized anisotropy Kuramoto-Sivashinsky Equation. Then we prove the existence of the global attractor. Finally, we get the upper bound estimation of the Haus-dorff and fractal dimension of attractor.
KeywordsKuramoto-Sivashinsky EquationExistenceGlobal AttractorDimension Estimation
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