| 某些多维Ginzberg-Landau方程混合初边值问题的整体吸引子 |
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| 引用本文： | 房少梅,郭柏灵.某些多维Ginzberg-Landau方程混合初边值问题的整体吸引子[J].应用数学学报,2007,30(4):604-614. |
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| 作者姓名： | 房少梅 郭柏灵 |
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| 作者单位： | 1. 华南农业大学数学系,广州,510642;韶关学院数学系,韶关,512005
2. 北京应用物理与计算数学研究所,北京,8009,信箱,100088 |
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| 基金项目： | 国家自然科学基金;广东省自然科学基金 |
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| 摘 要： | Ginzburg-Landau方程具有十分丰富的物理应用背景,它准确地描述了湍流行为、超导理论及相位跃迁等演化现象.本文研究一类多维Ginzburg-Landau方程的混合初边值,证明它存在弱的整体吸引子.
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| 关 键 词： | 非线性Ginzberg-Landau方程 整体吸引子 Galerkin方法 |
| 修稿时间： | 2005-02-28 |
The Existence of Weak Global Attractor for Mixed Initial Boundary Value Problem for Some Multidimensional Ginzberg-Landau Equations |
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| FANG SHAOMEI,GUO BOLING.The Existence of Weak Global Attractor for Mixed Initial Boundary Value Problem for Some Multidimensional Ginzberg-Landau Equations[J].Acta Mathematicae Applicatae Sinica,2007,30(4):604-614. |
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| Authors: | FANG SHAOMEI GUO BOLING |
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| Institution: | 1,Department of Mathematics, South China Agricultural University, Guangzhou 510642;2,Department of Mathematics, Shaoguan University, Shaoguan 512005;3,Institute of Applied Physics and Computational Mathematics, Beijing 100088 |
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| Abstract: | Ginzberg-Landau Equations have a fairly abundant physical background.It accurately describes some important evolution phenomenions,such as turbulence,supercon- ductor,and phase transition,etc.In this paper,we have proved the existence of weak global attractor for mixed initial boundary value problem for some multidimensional Ginzberg- Landau equations. |
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| Keywords: | nonlinear Ginzberg-Landau equations global attractor Galerkin method |
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