TY - JOUR
T1 - The Large Time Convergence of Spectral Method for Generalized Kuramoto-Sivashinsky Equation (II)
AU - Xiang , Xinming
JO - Journal of Computational Mathematics
VL - 3
SP - 203
EP - 212
PY - 1998
DA - 1998/06
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9153.html
KW - Kuramoto-Sivashinsky equation, large time convergence, Approximate attractor, Upper semicontinuity of attractors.
AB - <p style="text-align: justify;">In this paper, we study fully discrete spectral method and long time behavior of solution of generalized Kuramoto-Sivashinsky equation with periodic initial condition. We prove that the large time error estimation for fully discrete solution of spectral method. We prove the existence of approximate attractors $\mathcal{A}_N$, $\mathcal{A}_N^k$ respectively and $d (\mathcal{A}_N, \mathcal{A})\to 0$, $d (\mathcal{A}_N^k, \mathcal{A}) \to 0$.&nbsp;&nbsp;</p>