Hasegawa-Mima方程的整体吸引子  

Global Attractor for the Hasegawa-Mima Equation

作　　者：张瑞凤[1] 郭柏灵 

机构地区：[1]河南大学数学与信息科学学院,河南开封475001 [2]应用物理与计算数学研究所,北京100088

出　　处：《应用数学和力学》2006年第5期505-511,共7页Applied Mathematics and Mechanics

基　　金：河南省教育厅自然科学研究基金资助项目(2003110005)

摘　　要：考虑了带有耗散项的Hasegawa-Mima方程解的长时间性态,研究了具有初值周期边值条件的Hasegawa-Mima方程的整体吸引子问题.运用关于时间的一致先验估计,证明了该问题整体吸引子的存在性,并获得了整体吸引子的维数估计.The long time behavior of solution of the Hasegawa-Mima equation with dissipation term is considered. The global attractor problem of the Hasegawa-Mima equation with initial periodic boundary condition was studied. Applying the uniform a priori estimates method, the existence of global atractor of this problem was proved, and also the dimensions of the global attractor are estimated.

关 键 词：HASEGAWA-MIMA方程 一致先验估计 整体吸引子 Hamdorff维数和分形维数 

分 类 号：O175.2[理学—数学]