平面上不可压缩的Navier-Stokes方程五模截断方程组的标准型  

Canonical Form of Five Dimentional Truncations of Plane Incompressible Navier-Stokes Equations

作　　者：王贺元[1] 赵伟[2] 梁志明[1,3] 

机构地区：[1]辽宁工业大学数理科学系,辽宁锦州121001 [2]辽宁石化职业技术学院,辽宁锦州121001 [3]瓦房店轴承集团有限公司,辽宁瓦房店116000

出　　处：《辽宁工业大学学报（自然科学版）》2009年第5期331-334,共4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：把广义的类Lorenz系统推广到五维,给出了平面上不可压缩的Navier-Stokes方程五模截断方程组广义的类Lorenz系统的标准型;讨论了截断方程组标准型的形式统一性。The concept of generalized Lorenz-like system was expended to the one of five dimentional space. The five modes truncated equations of the plane incompressible Navier-Stokes equations were written in the canonical form of expended form of generalized Lorenz-like system; Unifiable form of the truncated equations were discussed hereby.

关 键 词：NAVIER-STOKES方程 广义的类Lorenz系统 标准型 

分 类 号：O175.14[理学—数学] O241.81[理学—基础数学]