三维方形单元PATTERN的周期流线

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基金项目: 国家自然科学基金重点项目“动力系统与哈密顿系统”(19731003);云南省自然科学基金

Periodic Stream Lines in the Three-Dimensional Square Cell Pattern

Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming 650093, P. R. China

摘要: 应用扰动广义Hamilton系统理论研究Rayleigh-Benard对流三维方形单元Pattern周期流线的存在性.所得结果说明本文的方法给出了三维对流模型的流线周期行为的清晰描述,从而提供了某些实验结果的精确解释.
- Rayleigh-Benard对流 /
- 周期解 /
- Hamilton系统 /
- 三维方形单元Pattern
Abstract: By using the theory of the generalized perturbed Hamiltonian systems, it is shown that there exist periodic stream lines in the three-dimensional square cell pattern of Rayleigh-Benard convection. The result means that our method enables this three-dimensional flow pattern to be described in an unambiguous manner, and some experimental results of other authors can be explained.
- Rayleigh-Benard convection /
- periodic solutions /
- Hamiltonian systems /
- square cell pattern

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