TY - JOUR
T1 - Attractors for Discretization of Ginzburg-Landau-BBM Equations
AU - Jiang , Mu-Rong
AU - Guo , Bo-Ling
JO - Journal of Computational Mathematics
VL - 2
SP - 195
EP - 204
PY - 2001
DA - 2001/04
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8972.html
KW - Attractor, Spatially discreted, Ginzburg-Landau-BBM equations, Hausdorff and fractal dimensions.
AB - <p style="text-align: justify;">In this paper, Ginzburg-Landau equation coupled with BBM equation with 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. &nbsp;</p>