Galaktionov, V.A., Mitidieri, E. and Pohozaev, S.I. (2009) On Global Solutions and Blow-Up for Kuramoto-Sivashinsky-Type Models, and Well-Posed Burnett Equations. Nonlinear Analysis: Theory, Methods & Applications, 70, 2930-2952. http://dx.doi.org/10.1016/j.na.2008.12.020

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.