二维不可压缩的Navier-Stokes方程四模类Lorenz方程组的稳定性分析  

Analysis of Four-mode Truncation Lorenz Equations’Stability for Two-dimensional Incompressible Navier-Stokes Equations

作　　者：李小华[1] 王贺元[1] 

机构地区：[1]辽宁工业大学数理科学系,辽宁锦州121001

出　　处：《辽宁工学院学报》2007年第5期342-345,350,共5页Journal of Liaoning Institute of Technology(Natural Science Edition)

基　　金：辽宁省教育厅基金(200401081);辽宁工业大学教师基金资助项目

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四模类Lorenz方程组,证明了此方程组吸引子的存在性,并对其稳定性进行了讨论和分析。The plane incompressible Navier-Stokes equations was expanded in two dimensional square on a torus, then a four-modes truncation Lorenz equations were obtained. Further, the existence of attractor for the equations was also verified, with the stability of equations approached.

关 键 词：NAVIER-STOKES方程 奇怪吸引子 李雅普诺夫指数 

分 类 号：O193[理学—数学]