Global Attractor of Two-Dimensional Strong Damping KDV Equation and Its Dimension Estimation

• 作者: Cheng Zhang Guoguang Lin
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: KDV Equation STRONGLY DAMPED Existence Global ATTRACTOR Dimension Estimation
• 年，卷（期）: 2014,（1）
• 页码范围: 7-15
• 页数: 9页
• 分类号: O1

摘要

Firstly, a priori estimates are obtained for the existence and uniqueness of solutions of two dimensional KDV equations, and prove the existence of the global attractor, finally get the upper bound estimation of the Hausdorff and fractal dimension of attractors.