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Global Attractor and Dimension Estimation for a 2D Generalized Anisotropy Kuramoto-Sivashinsky Equation 被引量:3

Global Attractor and Dimension Estimation for a 2D Generalized Anisotropy Kuramoto-Sivashinsky Equation
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摘要 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. 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.
出处 《International Journal of Modern Nonlinear Theory and Application》 2014年第4期163-172,共10页 现代非线性理论与应用(英文)
关键词 Kuramoto-Sivashinsky Equation EXISTENCE Global ATTRACTOR DIMENSION Estimation Kuramoto-Sivashinsky Equation Existence Global Attractor Dimension Estimation
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  • 2郭柏灵,Prog Nat Sci,1993年,3卷,4期,327页
  • 3郭柏灵,J Math Res Expo,1991年,11卷,1期,57页

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