| 二维液晶方程弱解的估计 |
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| 作者单位： | ;1.云南民族大学数学与计算机科学学院 |
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| 摘 要： | 液晶方程是Navier-Stoke方程和调和热流方程耦合得到的流体动力方程,因此研究液晶方程是极其重要的.应用方程弱解存在的结论,在弱解存在的基础上应用一系列泛函知识和Sobolev Spaces知识对弱解进行能量估计.
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| 关 键 词： | 流体动力方程 弱解 能量估计 |
Estimation of a weak solution to the two-dimensional liquid crystal equation |
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| Affiliation: | ,School of Mathematics and Computer Sciences,Yunnan Minzu University |
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| Abstract: | This paper begins with the definition of a weak solution to a two- dimensional liquid crystal equation,and,providing its existence,uses a series of functional analyses and the theory of Sobolev spaces to estimate the energy of the weak solution. |
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| Keywords: | hydrodynamic equation weak solution energy estimate |
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