| 关于二维等温可压缩球对称Navier-Stokes方程自模解的注记 |
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| 引用本文： | 贺文,刘专业,魏晋桃.关于二维等温可压缩球对称Navier-Stokes方程自模解的注记[J].高师理科学刊,2010,30(3). |
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| 作者姓名： | 贺文 刘专业 魏晋桃 |
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| 作者单位： | 西北大学,数学系,陕西,西安,710127;西北大学,非线性科学研究中心,陕西,西安,710127 |
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| 摘 要： | 研究了二维等温可压缩球对称Navier-Stokes方程的自模解,给出了具有有限能量的Navier-Stokes方程既没有向前的自模解,也没有向后的自模解的充分条件.
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| 关 键 词： | 自模解 等温可压缩 球对称 Navier-Stokes方程 |
Remarkes on 2-D spherically symmetric self-similar solutions to the isothermal compressible Navier-Stokes equations |
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| HE Wen,LIU Zhuan-ye,WEI Jin-tao.Remarkes on 2-D spherically symmetric self-similar solutions to the isothermal compressible Navier-Stokes equations[J].Journal of Science of Teachers＇College and University,2010,30(3). |
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| Authors: | HE Wen LIU Zhuan-ye WEI Jin-tao |
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| Institution: | 1; 2 (1.Department of Mathematics; Northwest University; Xi an 710127; China; 2.Center of Nonlinear Studies; China); |
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| Abstract: | Investigated the 2-Dspherically symmetric self-similar solutions to the isothermal compressible Navier-Stokes equations.Gave a sufficient condition that there exist neither forward nor backward self-similar solutions with finite total energy. |
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| Keywords: | self-similar solution isothermal compressible spherically symmetric Navier-Stokes equation |
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