| 一个新平面不可压缩Navier-Stokes方程的五模类Lorenz方程组截断 |
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| 引用本文： | 赵绪燕,王贺元. 一个新平面不可压缩Navier-Stokes方程的五模类Lorenz方程组截断[J]. 辽宁工学院学报, 2009, 0(1): 58-64 |
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| 作者姓名： | 赵绪燕 王贺元 |
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| 作者单位： | 辽宁工业大学数理科学系; |
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| 基金项目： | 辽宁省教育厅科研基金资助项目(20060397) |
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| 摘 要： | 对二维正方形区域上不可压缩的Navier-Stokes方程进行傅立叶展开后截断得到新五模类Lorenz方程组，证明了方程组吸引子的存在，并对其稳定性进行了讨论和证明，数值模拟了雷诺数变化时方程组的动力学行为。
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| 关 键 词： | Navier-Stokes方程 奇怪吸引子 李雅普诺夫函数 |
New Five-mode Truncation of Navier-Stokes Equations for Two-dimensional Incompressible Fluid |
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| ZHAO Xu-yan,WANG He-yuan. New Five-mode Truncation of Navier-Stokes Equations for Two-dimensional Incompressible Fluid[J]. Journal of Liaoning Institute of Technology(Natural Science Edition), 2009, 0(1): 58-64 |
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| Authors: | ZHAO Xu-yan WANG He-yuan |
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| Affiliation: | Dept.of Mathematics & Physics;Liaoning University of Technology;Jinzhou 121001;China |
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| Abstract: | Five-mode Lorenz equations were obtained after Fourier expansion and then truncation of the Navier-Stokes equations for a two dimensional incompressible fluid on a totus was done.The existence of attractor was proved.The stability of equations was discussed and proved.Numerical simulation of Reynolds numbers variation suggested there was a stochastic behavior exhibited by the equations. |
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| Keywords: | Navier-Stokes equations strange attractor Lyapunov function |
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