| 复Ginzburg-Landau方程的格子Boltzmann模型分析解 |
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| 引用本文： | 张建影,闫广武,李婷.复Ginzburg-Landau方程的格子Boltzmann模型分析解[J].吉林大学学报(理学版),2002,57(6):1339-1344. |
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| 作者姓名： | 张建影 闫广武 李婷 |
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| 作者单位： | 1. 长春工业大学 数学与统计学院, 长春 130012; 2. 吉林大学 数学学院, 长春 130012; 3. 吉林化工学院 理学院, 吉林 吉林 132022
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| 摘 要： | 利用格子Boltzmann模型中的Chapman分析方法, 给出系列偏微分方程以及Chapman多项式的一般形式, 通过求解复Ginzburg-Landau方程的平衡态分布函数, 给出不同时间尺度上分布函数的表达式, 进而得到复Ginzburg-Landau方程的格子Boltzmann分析解.
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| 关 键 词： | 格子Boltzmann模型 复Ginzburg Landau方程 分析解 |
| 收稿时间： | 2019-03-26 |
Analysis Solution of Lattice Boltzmann Model for Complex Ginzburg Landau Equation |
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| ZHANG Jianying,YAN Guangwu,LI Ting.Analysis Solution of Lattice Boltzmann Model for Complex Ginzburg Landau Equation[J].Journal of Jilin University: Sci Ed,2002,57(6):1339-1344. |
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| Authors: | ZHANG Jianying YAN Guangwu LI Ting |
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| Institution: | 1. School of Mathematics and Statistics, Changchun University of Technology, Changchun 130012, China;2. College of Mathematics, Jilin University, Changchun 130012, China;3. School of Science, Jilin University of Chemical Technology, Jilin 132022, Jilin Province, China
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| Abstract: | By using the method of Chapman analysis in the lattice Boltzmann model, we gave the general forms of a series of partial differential equationsand Chapman polynomials. By solving the equilibrium distribution functions for complex Ginzburg Landau equation, we gave the expressions of distribution functions on different time scales, and then obtained analysis solutions of the lattice Boltzmann for complex Ginzburg Landau equation. |
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| Keywords: | lattice Boltzmann model complex Ginzburg Landau equation analysis solution |
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