平面上不可压缩的Navier-Stokes方程五模截断方程组的标准型 |
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引用本文: | 王贺元,;赵伟,;梁志明.平面上不可压缩的Navier-Stokes方程五模截断方程组的标准型[J].辽宁工学院学报,2009(5):331-334. |
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作者姓名: | 王贺元 ;赵伟 ;梁志明 |
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作者单位: | [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 |
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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: | 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。
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关 键 词: | Navier-Stokes方程 广义的类Lorenz系统 标准型 |
Canonical Form of Five Dimentional Truncations of Plane Incompressible Navier-Stokes Equations |
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Affiliation: | WANG He-Yuan, ZHAO Wei, LIANG Zhi-Ming (1.Dept.of Mathematics & Physics, Liaoning University of Technology, Jinzhou 121001, China; 2.College of Vocational Technology, Petro Liaoning, Jinzhou 121001, China; 3.Wafangdian Axial BEARING Group, Ltd, Wa Fang Dian 116000, China) |
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Abstract: | 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. |
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Keywords: | Navier-Stokes equations generalized Lorenz-like system canonical form |
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