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Bozhkov, Y. and Dimas, S. (2013) Group Classification and Conservation Laws for a Two-Dimensional Generalized Kuramoto—Sivashinsky Equation. Journal of Nonlinear Analysis, 84, 117-135.
http://dx.doi.org/10.1016/j.na.2013.02.010

has been cited by the following article:

• 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.