TITLE:
Global Attractor and Dimension Estimation for a 2D Generalized Anisotropy Kuramoto-Sivashinsky Equation
AUTHORS:
Meixia Wang, Cuicui Tian, Guoguang Lin
KEYWORDS:
Kuramoto-Sivashinsky Equation, Existence, Global Attractor, Dimension Estimation
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.3 No.4,
September
24,
2014
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.