| 复Ginzburg-Landau方程在三维空间上的惯性分形集(英) |
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| 引用本文： | 李栋龙,郭柏灵.复Ginzburg-Landau方程在三维空间上的惯性分形集(英)[J].华东师范大学学报(自然科学版),2004,2004(3):29-35. |
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| 作者姓名： | 李栋龙 郭柏灵 |
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| 作者单位： | 1. 广西工学院,柳州,545006
2. 北京应用物理与计算数学研究所,北京,100088 |
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| 基金项目： | 广西省青年科学基金(0447008) |
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| 摘 要： | 在三维空间中考虑带高阶非线性项的复Ginzburg-Landau方程.通过证明Ginzburg-Landau方程的初边值问题的解半群S(t)的Lipschizt连续性和强挤压性，从而获得复Ginzburg-Landau方程惯性分形集存在性.
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| 关 键 词： | 复Ginzburg-Landau方程 Lipschizt连续性 强挤压性 惯性分形集 复Ginzburg-Landau方程 Lipschizt连续性 强挤压性 惯性分形集 |
| 收稿时间： | 2002-9-10 |
| 修稿时间： | 2003-10-18 |
Inertial Fractal Set for Complex Ginzburg-Landau Equation in Three-dimension |
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| LI Dong-long,GUO Bo-ling.Inertial Fractal Set for Complex Ginzburg-Landau Equation in Three-dimension[J].Journal of East China Normal University(Natural Science),2004,2004(3):29-35. |
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| Authors: | LI Dong-long GUO Bo-ling |
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| Institution: | 1. Guangxi Institute of Technology, Liuzhou 545006, China; 2. Institute of Applied Physic and Computational Mathematics, Beijing 100088, China |
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| Abstract: | This paper considers the complex Ginzburg-Landau equation in three spatial dimensions. The Lipschitz continuity and the squeezing property of the semigroup S(t) associated with the initial-value problem of complex Ginzburg-Landau equation are proved. Therefore the existence of inertial fractal sets is obtained. |
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| Keywords: | complex Ginzburg-Landau equation Lipschitz continuity squeezing property fractal sets |
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