一个新平面不可压缩Navier-Stokes方程的五模类Lorenz方程组截断  

New Five-mode Truncation of Navier-Stokes Equations for Two-dimensional Incompressible Fluid

作　　者：赵绪燕[1] 王贺元[1] 

机构地区：[1]辽宁工业大学数理科学系

出　　处：《辽宁工业大学学报（自然科学版）》2009年第1期58-64,共7页Journal of Liaoning University of Technology(Natural Science Edition)

基　　金：辽宁省教育厅科研基金资助项目(20060397)

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。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.

关 键 词：NAVIER-STOKES方程 奇怪吸引子 李雅普诺夫函数 

分 类 号：O371.1[理学—流体力学]