| 一维广义Ginzburg-Landau方程解的正则性及线性与非线性Galerkin近似 |
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| 引用本文： | 郭柏灵,高洪俊.一维广义Ginzburg-Landau方程解的正则性及线性与非线性Galerkin近似[J].系统科学与数学,1999,19(2):236-239. |
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| 作者姓名： | 郭柏灵 高洪俊 |
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| 作者单位： | 北京应用物理与计算数学研究所计算物理实验室!北京，100088，北京应用物理与计算数学研究所计算物理实验室!北京，100088 |
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| 基金项目： | 国家自然科学基金，中国工程物理研究院院基金 |
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| 摘 要： | 本文得到了一维广义Ginzburs－Landau方程解的Gevrey类正则性和关于时间的解析性．在此基础上得到线性Galerkin近似和非线性Galerkin近似的收敛性．
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| 关 键 词： | 广义Ginzburg－Landau方程 Gevrey类正则性 线性和非线性Galerkin近似 |
REGULARITY FOR THE SOLUTION OF ID GENERALIZED GINZBURG-LANDAU EQUATION AND CONVERGENCE OF LINEAR AND NONLINEAR GALERKIN APPROXIMATION |
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| Bo Ling GUO,Hong Jun GAO.REGULARITY FOR THE SOLUTION OF ID GENERALIZED GINZBURG-LANDAU EQUATION AND CONVERGENCE OF LINEAR AND NONLINEAR GALERKIN APPROXIMATION[J].Journal of Systems Science and Mathematical Sciences,1999,19(2):236-239. |
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| Authors: | Bo Ling GUO Hong Jun GAO |
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| Institution: | Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics,Beijing 100088,P.R.China |
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| Abstract: | In this paper, the Gevrey class regularity and analyticity with respect to time for the solution of iD generalized Ginzburg--Landau are obtained. Based on this, the convergence of linear and nonlinear Galerkin approximations is established. |
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| Keywords: | Generalized Ginzburg-Landau Gevrey class regularity linear and nonlinear Galerkin approximation |
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