Global Attractor and Dimension Estimation for a 2D Generalized Anisotropy Kuramoto-Sivashinsky Equation

• 作者: Cuicui Tian Guoguang Lin Meixia Wang
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: Kuramoto-Sivashinsky Equation EXISTENCE Global ATTRACTOR DIMENSION Estimation
• 年，卷（期）: 2014,（4）
• 页码范围: 163-172
• 页数: 10页
• 分类号: O1

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.