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.
出处
《应用数学和力学》
CSCD
北大核心
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)
