| 修正的Navier－Stokes方程的空间－时间统计解 |
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| 引用本文： | 郭丽辉. 修正的Navier－Stokes方程的空间－时间统计解[J]. 内蒙古大学学报(自然科学版), 1996, 0(4) |
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| 作者姓名： | 郭丽辉 |
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| 作者单位： | 内蒙古大学数学系 |
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| 摘 要： | 就于１９６８年提出的描述粘性不可压缩流体的修正的Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程定义空间－时间统计解并证明空间－时间统计解的存在唯一性，进而由修正Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程空间－时间统计解的存在性得到修正Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程（个别）解的存在性的证明．
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| 关 键 词： | 修正的Navier－Stokes方程，空间－时间统计解，测度 |
Space-time Statistical Solutions for the Modified Navier-Stokes Equations |
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| Guo Lihui. Space-time Statistical Solutions for the Modified Navier-Stokes Equations[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 1996, 0(4) |
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| Authors: | Guo Lihui |
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| Abstract: | Space-time statistical solutions are defined,and their existence and uniqueness are proved for the modified Navier-Stokes equations describing the viscous in compressible fluid flows proposed by ladyzhenskaya in 1968. Existence of solutions for the modified Navier-Stokes equations by existence of space-time statistical solutions is proved. |
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| Keywords: | modified Navier-Stokes equation space-time statistical solution measure |
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