Global Attractor and Dimension Estimation for a 2D Generalized Anisotropy Kuramoto-Sivashinsky Equation

Meixia Wang¹, Cuicui Tian, Guoguang Lin^*

Department of Mathematics, Yunnan University, Kunming, China.
Department of Mathematics, Yunnan University, Kunming, China.

DOI: 10.4236/ijmnta.2014.34018                

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.

Keywords

Kuramoto-Sivashinsky Equation, Existence, Global Attractor, Dimension Estimation

Conflicts of Interest

The authors declare no conflicts of interest.

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