一维非齐次BBM方程的渐近吸引子  

The Asymptotic Attractors of the Nonhomogeneous BBM Equation on One Dimension

作　　者：赵磊娜[1] 郭春晓[1] 

机构地区：[1]重庆交通大学理学院,重庆400074

出　　处：《鲁东大学学报（自然科学版）》2008年第1期1-4,共4页Journal of Ludong University:Natural Science Edition

基　　金：重庆市自然科学基金(CSTC;2007BB2396)

摘　　要：考虑一维周期边界条件下BBM方程解的渐近行为,给出了其有限维渐近吸引子的存在性,即通过构造有限维渐近解序列,证明了该序列不会远离方程的吸收集,并在长时间后无限趋于方程的整体吸引子.The asymptotic attractors of the nonhomogeneous BBM equation with periodic boundary conditions on one dimension are studied,and the existence of finite dimension asymptotic attractors is given.It is demonstrated that the sequence does incline to get closed to the global attractors after a long time rather than run away from the absorbing set of the equation by means of conducting asymptotic solution sequence on finite dimension.

关 键 词：非齐次BBM方程 渐近解序列 渐近吸引子 整体吸引子 

分 类 号：O175[理学—数学]