THE LARGE TIME CONVERGENCE OF SPECTRAL METHOD FOR GENERALIZED KURAMOTO-SIVASHINSKY EQUATION (Ⅱ)  

作　　者：Xin-ming Xiang (Shanghai Normal University, Shanghai 200234, China) 

出　　处：《Journal of Computational Mathematics》1998年第3期203-212,共10页计算数学（英文）

基　　金：Supported by the National Fund of Natueal Sciences and by Science and Technology Fund ofShanghai Higher Education

摘　　要：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 AN, ANk respectively and d(AN, A) → 0, d(ANk, A) → 0.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 AN, ANk respectively and d(AN, A) → 0, d(ANk, A) → 0.

关 键 词：Kuramoto- Sivashinsky equation large time convergence Approximate attractor Upper semicontinuity of attractors. 

分 类 号：O241[理学—计算数学]