无界区域R^n上GBBM方程的整体吸引子  

The Global Attractor for the GBBM Equations on Unbounded Domains R^n

作　　者：潘杰[1] 李树勇[2] 黄玉梅[2] 

机构地区：[1]四川农业大学数学系,四川雅安625014 [2]四川师范大学数学系,四川成都610066

出　　处：《西南师范大学学报（自然科学版）》2005年第4期604-608,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：四川省教育厅重点资助项目(01LA43);四川农业大学引进人才科研项目

摘　　要：研究了无界区域Rn上GBBM方程的长时间动力学行为,利用算子分解技巧和构造加权空间上紧算子等方法,通过对方程的解作先验范数估计,证明了无界区域Rn上GBBM方程整体吸引子的存在性.In this paper, the long time behavior of solution for GBBM equations on the unbounded domains R^n was studied. The existence of the global attractor for the corresponding semigroup was proved by the priori estimate of the solutioin. The method of the decomposition of operators and the constructing compact operators in the weighted spaces was used.

关 键 词：GBBM方程 无界区域 整体吸引子 

分 类 号：O175.29[理学—数学]