一弱阻尼受迫组合KdV方程的整体吸引子  

The Global Attractor of a Weakly Damped Forced Combined Korteweg-de Vries Equation

作　　者：赵丹梅[1] 王美娜[2] 田景芝[3] 

机构地区：[1]昆明学院数学系,云南昆明650214 [2]兴义民族师范学院数学系,贵州兴义562400 [3]云南民族大学数学系,云南昆明650031

出　　处：《昆明学院学报》2011年第3期11-17,共7页Journal of Kunming University

摘　　要：考虑一弱阻尼受迫组合KdV方程的整体吸引子,在适当Sobolev空间中,用能量方法和对解的分解证明了该方程周期解和整体吸引子的存在性,并探讨了吸引子的正则性.Investigating the global attractor of a weakly damped forced combined KdV equation proved the existence of the space-periodicity solution and the global attractor in propriety Sobolev Spaces and the regularity of the global attractor by using essentially the energy method together with a splitting of the solutions.

关 键 词：组合KDV方程 耦合KDV方程组 整体吸引子 正则性 

分 类 号：O175.2[理学—数学]