Author(s)

Meixia Wang¹, Cuicui Tian, Guoguang Lin^*

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

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.

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

Wang, M. , Tian, C. and Lin, G. (2014) Global Attractor and Dimension Estimation for a 2D Generalized Anisotropy Kuramoto-Sivashinsky Equation. International Journal of Modern Nonlinear Theory and Application, 3, 163-172. doi: 10.4236/ijmnta.2014.34018.