二维不可压缩Navier-Stokes方程的七模类Lorenz方程组的动力学行为及其数值模拟  

Simulation of Dynamic Characteristics and Numerical Value on 2D-Lincompressible Navier-Stokes Equation with Their Seven Modes Lorenz Equations

作　　者：高焱[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）》2008年第4期257-262,共6页Journal of Liaoning University of Technology(Natural Science Edition)

基　　金：辽宁省教育厅基金(200401081);辽宁工学院教师基金资助项目

摘　　要：研究了文献[1]中给出的七模类Lorenz方程组,证明了该方程组吸引子的存在性,并对其全局稳定性进行了分析和讨论,数值模拟了雷诺数在一定范围内变化时类Lorenz方程组的动力学行为。The seven-modes Lorenz equations in paper [1] was studied. The existence of the attractor of the seven-modes Lorenz equations was proved, and the stability of the equations was discussed and analyzed. The dynamical behavior was simulated numerically by computer according to the changing of Reynolds number.

关 键 词：NAVIER-STOKES方程 奇怪吸引子 李雅普诺夫函数 

分 类 号：O175.14[理学—数学]