PERIODIC STREAM LINES IN THE THREE-DIMENSIONAL SQUARE CELL PATTERN

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (2): 220-228.

PERIODIC STREAM LINES IN THE THREE-DIMENSIONAL SQUARE CELL PATTERN

李继彬, 段晚锁

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

收稿日期:1999-11-05 修回日期:2000-10-03 出版日期:2001-02-18 发布日期:2001-02-18
基金资助:
the National Natural Science Foundation of China(19731003);the Natural Science Foundation of Yunnan Province

PERIODIC STREAM LINES IN THE THREE-DIMENSIONAL SQUARE CELL PATTERN

LI Ji-bin, DUAN Wan-suo

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

Received:1999-11-05 Revised:2000-10-03 Online:2001-02-18 Published:2001-02-18
Supported by:
the National Natural Science Foundation of China(19731003);the Natural Science Foundation of Yunnan Province

摘要/Abstract

摘要： 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.

关键词: Rayleigh-Benard convection, periodic solutions, Hamiltonian systems, square cell 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.

Key words: Rayleigh-Benard convection, periodic solutions, Hamiltonian systems, square cell pattern

中图分类号:

O175.14

李继彬;段晚锁. PERIODIC STREAM LINES IN THE THREE-DIMENSIONAL SQUARE CELL PATTERN[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(2): 220-228.

LI Ji-bin;DUAN Wan-suo . PERIODIC STREAM LINES IN THE THREE-DIMENSIONAL SQUARE CELL PATTERN[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(2): 220-228.

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[2]	Cemil Tun&#;. ON THE BOUNDEDNESS AND PERIODICITY OF THE SOLUTIONS OF A CERTAIN VECTOR DIFFERENTIAL EQUATION OF THIRD-ORDER[J]. Applied Mathematics and Mechanics (English Edition), 1999, 19(2): 163-170.
[3]	高普云. A NEW METHOD FOR THE CONSTRUCTION OF INTEGRABLE HAMILTONIAN SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(10): 993-998.
[4]	司建国. DISCUSSION ON THE PERIODIC SOLUTIONS FOR HIGHER-ORDER LINEAR EQUATION OF NEUTRAL TYPE WITH CONSTANT COEFFICIENTS[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(1): 29-37.

PERIODIC STREAM LINES IN THE THREE-DIMENSIONAL SQUARE CELL PATTERN

PERIODIC STREAM LINES IN THE THREE-DIMENSIONAL SQUARE CELL PATTERN

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