ATTRACTORS FOR DISCRETIZATION OF GINZBURG-LANDAU-BBM EQUATIONS

• 作者: Bo-ling Guo Mu-rong Jiang
• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Attractor Spatially discreted Ginzburg-Landau-BBM equations Hausdorff and fractal dimensions.
• 年，卷（期）: 2001,（2）
• 页码范围: 195-204
• 页数: 10页
• 分类号: O1
• 语种: 英文

摘要

In this paper, Ginzburg-Landau equation coupled with BBM equationwith periodic initial boundary value conditions are discreted by the finite difference method in spatial direction. Existence of the attractors for the spatially discreted Ginzburg-Landau-BBM equations is proved. For each mesh size, there exist attractors for the discretized system. Moreover, finite Hausdorff and fractal dimensions of the discrete attractors are obtained and the bounds are independent of the mesh sizes.