Global Attractor for the Hasegawa-Mima Equation
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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.
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关键词:
- Hasegawa-Mima方程 /
- 一致先验估计 /
- 整体吸引子 /
- Hausdorff维数和分形维数
Abstract: 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 attractor of this problem was proved, and also the dimensions of the global attractor are estimated. -
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